Isosceles and Equilateral Triangle

Isosceles And Equilateral Triangle

Answers

Answer 1

x = y = 48 , by using angle sum property of triangle.

What are the properties of triangle?

A triangle's characteristics are:

1. Three sides, three angles, and three vertices make up a triangle.

2. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.

3. Any two triangle sides can add up to a length that is longer than the third side.

4. The greatest side of a triangle is the side that faces the largest angle.

5. The sum of the triangle's internal opposite angles is equal to any of its outer angles. This is referred to as the triangle's outside angle property.

In the given triangle , two sides of the triangle are equal and we know angle opposite to equal sides are equal therefore both angle x and y are equal.

Now, Using angle sum property of triangle

x + y + 84 = 180 degree

x + x + 84 = 180

2x + 84 = 180

2x = 180 - 84

2x = 96

x = 96/2  

x = 48

Similary , y = 48 as x and y are equal.

Therefore, x = y = 48

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Related Questions

for a lower tail test, the test statistic z is determined to be zero. what is the p-value for this test?

Answers

0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For each test, the p-value is the likelihood that the null hypothesis will be correct, which is expressed as the probability of receiving a z-value . an absolute value at least as great as the one we actually observed in the sample data.P-value, or probability value, is the likelihood that a statistic will be at least this distant from the mean if the null hypothesis is assumed to be true. So it can be thought of as a conditional probability, to put it another way.

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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Pls. Help. Lots of points plus Brainliest!

What is 12*12/2+13?

Answers

85

Step-by-step explanation:

[tex]\sf 12 \times \cfrac{12}{2} + 13[/tex]

First, let's divide 12 by 2:-

[tex]\sf 12 \times 6 + 13[/tex]

Multiply 12 × 6 :-

[tex]\sf 72 + 13[/tex]

Add 72 + 13:-

[tex]\sf 85[/tex]

Therefore, your answer is 85!!

____________________

Hope this helps!

Have a great day!!

Answer = 85
12*12=144
144/2=72
72+13=85
(Using BIDMAS)

Diego's solar car traveled 3.16 meters farther than Justine's solar car. The equation d=j+3.16 represents this situation. What is the value of j if d=158?

Answers

The value of j based on the equation d = j + 3.16 if d = 158 is 154.84 meters.

How to find the missing parameters of an equation?

Distance Diego's car traveled farther than Justine's solar car = 3.16 metersd = 158

d = j + 3.16

substitute the value of d into the equation

d = j + 3.16

158 = j + 3.16

substract 3.16 from both sides

158 - 3.16 = j

j = 154.84

So therefore, based on the given equation d = j + 3.16, j = 154.84

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The value of j in the equation = 154.84

Distance

Distance is the length of space covered by the car when it moves from one location to another

Given;

Equation d=j+3.16 represent the situation

distance travelled by the car= 3.16meters

d=158

Step 1: Substituting the value of d into the equation d=j+3.16

158= j +3.16

Step 2: Subtract 3.16 from both sides

158-3.16 = j + 3.16 -3.16

Step 3: Add the equation

j= 154.84

Therefore, the value of j in the equation = 154.84

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evaluate the expression 8.2x- 6.1 when x=7

Answers

Answer:

51.3

Step-by-step explanation:

Since it's telling us that (x=7) then that means 8.2x is going to be multiplied

8.2(7) or 8.2 x 7.

Then you end up getting an answer of 57.4

But you are not finished yet and need to subtract 6.1

so 57.4 - 6.1 = 51.3

And your result will be (51.3)

I hope this helps you understand this problem!

6x+5y=2
4x+2y=8
solve by elimination

Answers

Using the elimination method, the solution to the system of linear equations is: x = 4.5 and y = -5.

How to Solve a System of Linear Equations by Elimination?

Solving a system of linear equations by elimination involves eliminating one of the variables, then solve to find the other variable.

Given the equations:

6x + 5y = 2 --> eqn. 1

4x + 2y = 8 --> eqn. 2

Multiply eqn. 1 by 2 and eqn. 2 by 5:

12x + 10y = 4 --> eqn. 3

20x + 10y = 40 --> eqn. 4

Subtract

-8x = -36

x = 4.5

Substitute x = 4.5 into eqn. 2

4(4.5) + 2y = 8

18 + 2y = 8

2y = 8 - 18

2y = -10

y = -5

The solution is: x = 4.5 and y = -5.

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What is the rate of change of the function y = 5x + 4?

Answers

Answer:

The slope of y = 5x - 4 is 5.

Notice that the equation, y = 5x - 4, of the line is written in the form y = mx + b. Thus, it is in slope-intercept form. When the equation of a line is in slope-intercept form, we know that the slope of the line is equal to m, the coefficient of x.

In y = 5x - 4, the coefficient of x is 5. Thus, the slope of the line, y = 5x - 4, is 5.

Write2 1/4 as an improper fraction in its simplest form

Answers

Answer:

9/4

Step-by-step explanation:

Solve the equation for w.

4w + 2 + 0.6w = −3.4w − 6

No solution
w = 0
w = 1
w = −1
Please help

Answers

Answer:

The answer is w= -1

Step-by-step explanation:

4w + 2 + 0.6w = -3.4w - 6

4.6w + 2 = -3.4w - 6

8w + 2 = -6

8w = -8

w = -1

What is the y-intercept for x^3+8x^2+11x-20? How many zeros are their in the graph?

Answers

The y-intercept is (0,-20)

an ant walks along a straight path. After traveling for 1 meter it stops, turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a distance of half a meter. Again, the ant turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a quarter of a meter. The ant continues in this manner indefinitely.

a) How many turns will the ant have made after covering a distance of 63/32 meters?

b)How far will the ant "eventually" travel?

Answers

The description of the motion of the ant which is a geometric series is as follows;

a) After covering 63/32 meters, the ant will have made 6 turns

b) The distance the ant will eventually travel is 2 meters

What is a geometric series?

Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.

The distances traveled by the ant is a geometric progression of the form;

aₙ = a·rⁿ⁻¹

The sum of the distance is given by the sum of the geometric progression as follow;

[tex]S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}[/tex]

Where;

aₙ = The distance traveled in the nth turn

Sₙ = The sum of the distances

a = The first term = 1 meter

r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5

a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;

[tex]S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}[/tex]

31.5 = 32 × (1 - 0.5ⁿ)

32 × 0.5ⁿ = 32 - 31.5 = 0.5

0.5ⁿ = 0.5 ÷ 32

n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6

After covering a distance of 63/62 meters, the ant will have made 6 turns

b) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;

[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]

Which gives;

[tex]S_{\infty} = \dfrac{1}{1-0.5} = 2[/tex]

The distance the ant eventually travels is 2 meters

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what 5x5(45x5)x3(56x34)

Answers

if that’s all multiplication and not X then the answer would be 32130000 i think

Answer: 32130000

Step-by-step explanation:

Multiply all of your numbers

The image of the point (9, -3)(9,−3) under a translation is (4, 1)(4,1). Find the coordinates of the image of the point (0, 2)(0,2) under the same translation.

Answers

Answer
(-5, 6)

Explanation

Image = where the point would be after a translation

translation = how a point’s position is moved

to find out how to translate a point, look at how it moved and apply the same movements to the other point
(9, -3) + (-5, 4) = (4, 1)

the translation is -5 along (on the x axis) and 4 up (on the y axis). Now we have to apply this to the other point (0, 2)

0 - 5 = -5
2 + 4 = 6

(0,2) + (-5, 4) = (-5, 6)

Dados os polinomios:
X-2=
X-3=
X+1=
X+5=

Answers

Answer:

X-2=1

X-3=2

X+1=2

X+5=6

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)

Answers

The equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)

The line is passing through (-2, -4) and (2, 2)

The slope of the line is change in y coordinate with respect to the change in x coordinate of the line
Slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

Slope of the line = (2--4) / (2--2)

= 6/2

= 3/2

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

The point is given that (-3, 1)

The slope of the line = 3/2

because both are parallel lines

Substitute the both values in the equation

y - 1 = 3/2( x - (-3))

y - 1 = 3/2(x + 3)

Hence, the equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)

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Answer:

y – 1 = 3/2(x + 3)

Step-by-step explanation:

Plot a point for some of the ordered pairs from the example problem shown at the right. Model the relationships by drawing a line from the y-axis through each point. Explain how the graphs show which relationship is proportional and which is not proportional.

Answers

Both the pairs of the points are linear.

Here i made the plot for the points and both the pairs of the points shows that the it follows a straight path which means it will be linear i nature.

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Cn anyone answer this question?

Answers

Looks like (3,4). The vertex is the point where the lines diverge out of. In the “V” it is the point where the two lines go up out of. Does that make sense?

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p

How to determine the equations with the same solution?

The equation is given as

2.3p – 10.1 = 6.5p – 4 – 0.01p

Evaluate the like terms on the right-hand side

So, we have the following representation

2.3p – 10.1 = 6.49p – 4

The above equation is indicated in option (b)

Multiply through the equation by 100

So, we have:

100(2.3p – 10.1 = 6.5p – 4 – 0.01p)

Evaluate

230p – 1010 = 650p – 400 – p

The above equation is indicated in option (c)

Hence, the equations with the same solution are (b) and (c)

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How to solve completing the square with the formula a (X+h)2 + k

Answers

The solutions of the given quadratic equation are

[tex]x = 3 \ or \ x = -\frac{1}{4}[/tex]

What is quadratic equation?

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

The given quadratic equation is

[tex]4x^2 - 11x - 3[/tex]

Now,

[tex]4x^2 - 11x - 3 = 0\\\\(2x)^2 - 2 \times 2x \times \frac{11}{4} + (\frac{11}{4})^2 - (\frac{11}{4})^2 -3 = 0\\\\(2x - \frac{11}{4})^2 = \frac{121}{16} + 3\\\\(2x - \frac{11}{4})^2 = \frac{121+48}{16}\\\\(2x - \frac{11}{4})^2 = \frac{169}{16}\\\\2x - \frac{11}{4} = \sqrt{\frac{169}{16}}\\\\2x - \frac{11}{4} = \pm\frac{13}{4}\\\\2x - \frac{11}{4} = \frac{13}{4} \ or \ 2x - \frac{11}{4} = -\frac{13}{4}\\\\2x = \frac{13}{4} + \frac{11}{4} \ or \ 2x = \frac{11}{4} - \frac{13}{4}\\\\[/tex]

[tex]2x = 6 \ or \ 2x = -\frac{1}{2}\\x = 3 \ or \ x = -\frac{1}{4}[/tex]

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a polling organization took a random sample of 1600 high school students to determine how many high school students have a part-time job. suppose 43% of all high school students have a part itme job. if the total population of high shool students is 15 million, is the 10% condition met? justify your answer

Answers

Based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

For this case we have the following data given:

n = 1600 represent the sample size select.

dp = 0.43, which,  represent the estimated proportion of high school students that have a part time job

N= 15000000 represent the total population size

And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition: “We need to have Bernoulli trials must be independent.

If that assumption is not satisfied, it is  still okay to proceed if we have that the sample is smaller than 10% of the population.”"One of the conditions to be checked before using the normal model for sample proportions is, “The sample size, n, must be no larger than 10% of the population.

”So based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000

And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

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a sample of 1,400 american households was asked if they planned to buy a new car next year. of the respondents, 34% indicated they planned to buy a new car next year. construct a 90% confidence interval of the proportion of american households who expect to buy a new car next year.

Answers

The proportion of American households who expect to buy a new car next year is[0.3191, 0.3609].

The Four answer choices:

[0.3152, 0.3648]

[0.3191, 0.3609]

[0.3394, 0.3406]

[0.3354, 0.3446]

According to the survey, 1,400 American households are expected to buy a new car next year. According to respondents, 34% plan on buying a new car next year.

The confidence interval for a population proportion is given by the following equation for large random samples

Sample proportion ± z × [tex]\frac{\sqrt{(sample proportion(1-sample proportion)}}{n}[/tex]

whereas z is a multiplier number that comes from the normal curve and determines the level of confidence.

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Solve for
x
xx.
x
=
x=x, equals
Two triangles A B C and A D E. Triangle A B C is on top of Triangle A D E at point A. Side A C is smaller than A E and side A B is smaller than side A D. Side C B has a length of three. Side E D has a length of x. Side A B has a length of nine. Segment B D has a length of six. Angle A B C and A D E are both ninety degrees.
A
A
E
E
D
D
B
B
C
C
9
9
3
3
6
6
x
x

Answers

The ΔABC placed on top of ΔADE, and having angles ∠ABC and ∠BAC congruent to ∠ADE and ∠DAE in ΔADE is similar to ΔADE. The side CB is 3 indicating that the side ED, which has a length of x = 5

What are similar triangles?

Similar triangles are triangles that have similar (the same shape), such that one triangles has side lengths that are a constant multiple of the other.

Please find attached a possible drawing that is based on the parameters of the question

From the question and the drawing created with MS Word, we have;

Length of AB = 9

Side CB = 3

Segment BD = 6

∠ABC = ∠ADE = 90°

∠ABC ≅ ∠ADE by definition of congruency

From the drawing, ∠BAC ≅ ∠BAC by reflexive property of equality

Triangle ΔBAC is similar to triangle ΔDAE by AA similarity postulate

Segment AD = Segment AB + Segment BD by segment addition postulate

AD = 9 + 6 = 15

The pair of corresponding sides of similar triangles are proportional, therefore;

[tex]\dfrac{\overline{AB}}{\overline{AD}} = \dfrac{\overline{BC}}{\overline{DE}}[/tex]

Which gives;

[tex]\dfrac{9}{15} = \dfrac{3}{x}[/tex]

9 × x = 15 × 3 = 45

x = 45 ÷ 9 = 5

The  length of side ED, x = 5

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Answer: 12

Step-by-step explanation: Because 9 x 2 is 18, and 7 x 2 is 14, we want to multiply 6 by 2. This gives us the answer 12.

9 x 2 = 18

7 x 2 = 14

6 x 2 = 12

Standing on top of a 200 m building with the estimation angle of depression from the top of the building to a park bench on the ground to be 54°

How far is the park bench is from the foot of the building

Answers

Distance of Park bench from building is 275 m when  angle of depression  top of the building to a park bench on the ground.

What is the elevation and depression angle?

The angle between the horizontal and an item is referred to as its elevation. The line of sight of an observer would be upward. Angle of depression refers to the downward angle from the horizontal to an item.

Angle of depression, θ = 54°

The height, h = 200

The distance of park bench from the building, d is given by

Tan θ = opposite / Adjacent

Tan 54  = d / 200

d = 200 * Tan 54

d =  200 *  1.3764

d = 275.28

D = 275 M

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Against the Wind a small plane flew 858 miles in 2 hours and 10 minutes the return trip only took 1 hour and 50 minutes what was the speed of the wind?what was the speed of the plane in still air?​

Answers

The speed of the plane - 432 miles/ hr.The speed of the wind - 36 miles/ hr.Define the relation of speed and time?A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the duration is in hours, the speed is in kilometers per hour. If a distance is measured in meters and the time is measured in seconds, the speed is measured in meters per second.

Let the speed of the small plane be 'R'.

Let the speed of the wind be 'S'.

Plane's time against wind = 2 hours and 10 minutes  = 13/6 hours.

Plane's time with wind = 1 hour and 50 minutes = 11/6 hours

Use formula;

Distance =  speed x time

Against the wind:

858 = (13/6) (R-S)  = (13/6) R - (13/6)S

With wind:

858 = (11/6)(R + S) = (11/6)R + (11/6)S  

Multiplies each by 6.

5148 = 13R - 13S

5148 = 11R + 11S

Use elimination method

56628 = 143R - 143S  (multiplies by 11)

66924 = 143R + 143S  (multiplies by 13)

Further solving;

123552 = 276R

R = 432 miles/ hr. (speed of small plane )

And,  S = 36 miles/ hr. (speed of wind)

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Simplify the expression:

(–5.5 + 2p)(–2) =

Answers

The expression, (–5.5 + 2p)(–2), after simplification is 11-4p.

According to the question,

We have the following expression:

(–5.5 + 2p)(–2)

Now, in order to simplify this expression, we will multiply -2 into the bracket:

(Note that when a number or a variable is multiplied into the bracket then it is multiplied into every number or term within the bracket.)

-5.5*-2+2p*(-2)

We know that when two negative integers are multiplied then the result is positive and when one negative and one positive integer is multiplied then the result is negative.

11-4p

Hence, the expression, (–5.5 + 2p)(–2), after simplification is 11-4p.

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8.
y=
Which word describes the connection between the shape and its reflection?
[] congruent
[] similar
[ ] translation
[] corresponding

Answers

The corresponding sides and angles of both the triangles [pre-image and the image] are congruent

what is congruency?Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments. If any two line segments are equal in length, they are said to be congruent. If two angles have the same measure, they are said to be congruent. If the matching sides and angles of two triangles are the same, they are said to be congruent. In this post, we will learn more about congruence and congruent figures.The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal.

Hence,The corresponding sides and angles of both the triangles [pre-image and the image] are congruent

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Toby the Turkey needs you to buy place cards so that everyone will know where to sit during his Thanksgiving dinner. He would like to buy them in bulk. The card shop offers 3 different packs. Use the chart below to determine which pack offers Toby the best deal, then find the price per card.

Pack #1
Quantity 12 place cards
Cost $29 per pack

Pack #2
Quantity 24 place cards
Cost $89 per pack

Pack #3
Quantity 24 place cards
Cost $213 per pack

( This is confusing to me I don't even understand why my math teacher decided to give us it when she didn't explain it. currently gonna cry on this I need to show work what.)​

Answers

The solution is Pack #1

The pack which offers Toby the best deal is Pack #1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the price per card of each pack be = A

Now , the equation is

a)

Pack #1

The number of cards = 12 cards

The cost per pack = $ 29

The equation is

So , the cost of 1 card = cost per pack / number of cards

                                    = $ 2.416

Therefore , the cost of one card in pack 1 is $ 2.416

b)

Pack #2

The number of cards = 24 cards

The cost per pack = $ 89

The equation is

So , the cost of 1 card = cost per pack / number of cards

                                    = $ 3.708

Therefore , the cost of one card in pack 2 is $ 3.708

c)

Pack #3

The number of cards = 24 cards

The cost per pack = $ 213

The equation is

So , the cost of 1 card = cost per pack / number of cards

                                    = $ 8.875

Therefore , the cost of one card in pack 3 is $ 8.875

And ,

cost of one card in pack 3 is $ 8.875 > cost of one card in pack 2 is $ 3.708 > cost of one card in pack 1 is $ 2.416

Therefore , the cost of one card in pack 1 is $ 2.416 and this is the best deal

Hence , The pack which offers Toby the best deal is Pack #1

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given that AC is 38. Find bc

Answers

Answer:

x = 12

Step-by-step explanation: You start off with this

3x + 2

Then since AC is 38 you make it

3x+2=38

Then you do -2 getting rid of the 2 and doing 38 - 2 which is 36

you now have:

3x = 36

then you do 3x divided by 3 on both sides

you do 36 divided by 3 then you get

x = 12

What id an equation of a line in point-slope form that passes theough (1,-7) and has a slope of -2/3?

Answers

(y + 7) = -2/3(x - 1) is the point-slope form of the equation of a line passing through (1, -7) and having a slope of -2/3.

How to calculate a line's equation in point-slope form

The query revealed information include

a slope of -2/3

point (1, -7)

Describe a linear function.

Those functions with exponents of 1 are known as linear functions.

The form represents the equation of a line in point-slope form.

(y - y₁) = m (x - x₁)

Variables in the y direction are described by  (y and y₁).

variables in the x direction are described by (x and x₁).

m = slope

substituting into the slope and point (1, -7) equation gives

()y + 7) = -2/3 (x - 1)

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If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit. Find the new current if the voltage is increased to 4 volts

Answers

New current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

What is a current simple definition?

The speed at which electrons go past a particular location in an electrical circuit is known as current. Current = flow, at its most fundamental level. The international unit for measuring current is an amp (AM-pir), sometimes known as an amp.

amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit.

=> I  ∝  V

=> I  = V/R    

R is a constant

and R  is resistance

When 3 volts are applied to a circuit, 75 milliamperes of current flow through the circuit.

=> 75 x 10⁻³  = 3 /R

=> R = 3 x 10³/75

=> R =  10³/25

=> R = 40

I  = V/R    

V = 4

R = 40

=> I  = 4/40

=> I  = 1/10

=> I = 0.1 A

or 100 mA

new current if the voltage is increased to 4 volts. = 0.1 A or 100 mA

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Suppose you have 50 blueberry scones and 75 cranberry scones you wanted to make as many identical birds of scones as possible each bread should have an equal number of blueberry scones and an equal number of cranberries called what is the greatest number of bags you can fill explain

Answers

He can fill a total of 25 bags.

The values are,

50 blueberry scones total.

75 cranberry scones total.

For each bag to have an equal quantity of blueberry scones & cranberry scones, he must determine the maximum amount of bags he can fill.

H.C.F. of 50 & 75 is thus 25.

As a result, he can fill 25 bags.

There would be scones with blueberries in each bag of

50 ÷ 25 = 2

There would be cranberry scones for each bag, for a total of

75 ÷ 25 = 3

As a result, he may fill a total of 25 bags.

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