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Complete the congruence statement for the figure below.

Considering that we have an isosceles triangle, the length of the missing side is of 11 inches.

An isosceles triangle is a triangle that has two congruent sides.

Researching this problem on the internet, the triangle has two sides of 4 in and 11 in, and one missing side. The missing side is opposite to the side of 4 in, with the same scale, hence the length of the missing side is of 11 inches.

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Answer:

75%

Step-by-step explanation:

The statement which identifies Melissa’s error and the correct answer is; Melissa added incorrectly. The correct answer is 4.5°F

New temperature = Initial temperature + (Change in temperature per × Number of hours)

= -20.5°F + (5°F × 5)

= -20.5°F + (25°F)

= 4.5°F

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Answer:

C

Step-by-step explanation:

The number of angles that are alternate exterior with angle 5 is one, which is angle 11.

Alternate exterior angles are formed on the outside of the two parallel lines that are intersected by a transversal, each being located on the opposite side of the transversal.

The alternate exterior angle pairs are two angles that are supplementary. This means they add up to give a sum of 180 degrees.

Considering transversal s and parallel lines t and u, the angle that is an alternate angle to angle 5 is angle 11.

Angle 11 is the only angle that is alternate exterior angles with angle 5. therefore, we can conclude that, the number of angles that are alternate exterior with angle 5 is just 1, which is angle 11.

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Answer:

yxthgggggyhfffghgggggvggvvggvv

Answer:

[tex]\huge\boxed{\sf x = -2.5}[/tex]

Step-by-step explanation:

4x + 2 = -8

Subtract 2 to both sides

4x = -8 - 2

4x = -10

Divide 4 to both sides

x = -10/4

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

4x + 2 = - 8

Subtract 2 from both sides,

Subtract 2 from - 8 = - 10,

Divide both sides by 4,

____________________

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:

In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.

Based on the statement, we have the following relationship:

F ∝ 1/r²

Where:

From such relation, we can determine the resulting force by the following equation:

F/20 = 10²/20²

F = 20 × 10²/20²

F = 5 N

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

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Answer:

No

Step-by-step explanation:

So to determine whether this is a function, we first need to know what a function is. A function is defined as for each input, there is only 1 output.

This output doesn't have to be unique and other inputs can output this output, but it only matters that each input outputs only one output.

So let's look at what you provided and specifically these two points:

(3, 5)

(3, -3)

This input 3, outputs 5 and -3, which is not a function since this input outputted 2 different outputs. One thing to note is had you provided the two points: (3, 5), (3, 5) instead then it would still be a function because the input outputted the same output of 5 both times.

The option D is the correct option.

According to the statement

we have to define the sample variance in the words.

So,

The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.

and in the case of the population variance it becomes

The population variance is the average of the squared distances of the measurements on all units in the population from the mean.

This is the method by which we define the sample variance and population variance.

So, The option D is the correct option.

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m<1 =163 degrees

163,17,163,17 (all in degrees)

163,17,163,17  (all in degrees)

I have reproduced and attached a diagram (in figure 1) of the problem.

For ease of understanding, I have attached a second diagram which is labelled.

On line a

17+<CBE=180 (Linear Pair Postulate)

m<2=<CBE=180-17=163 degrees

<ABG=<CBE=163 degrees (Vertically Opposite Angles)

<ABE=<GBC= 17 degrees(Vertically Opposite Angles)

On line b

m<1=<DEB=<ABG=163 degrees (Corresponding Angles)

<BEF=<GBC= 17 degrees (Corresponding Angles)

<HEF=<DEB=163 degrees  (Vertically Opposite Angles)

<DEH=<BEF=17 degrees (Vertically Opposite Angles)

Therefore:

m<1 =163 degrees

Clockwise from top left, the angles formed with line a are: 163 degrees, 17 degrees, m<2=163 degrees and 17 degrees.

Clockwise from top left, the angles formed with line b are: m<1=163 degrees, 17 degrees, 163 degrees, and 17 degrees.

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Answer:30 degress

3 angles in a triangle equal 180-120=60 60÷2=30

Step-by-step explanation:

The tangent in the unit circle is equal to 0.334.

In trigonometry, unit circles are representations of a circle with radius 1 and centered at the origin of a Cartesian plane commonly use to estimate and understand angles and trigonometric functions related to them.

Angles are generated by line segments whose coordinates are of the form (x, y), where x is the position of the terminal point along the x-axis and y is the position of the terminal point along the y-axis.

In addition, the tangent of the angle generated in a unit angle is defined by the following equation:

tan θ = y / x     (1)

If we know that x = - 0.9483 and y = - 0.3173, then the tangent of the angle generated in the unit circle is:

tan θ = (- 0.3173)/(- 0.9483)

tan θ = 0.334

The tangent in the unit circle is equal to 0.334.

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The amount of paint needed to cover the wall is 112 square feet

The given parameters are:

Parallel bases = 8 feet and 20 feet

Height = 8 feet

The area is calculated as:

Area = 0.5 * (Sum of parallel bases) * Height

So, we have;

Area = 0.5 * (8 + 20) * 8

Evaluate

Area = 112

Hence, the amount of paint needed to cover the wall is 112 square feet

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The number of feet of wood that is needed is given as 35 feet of wood.

We have to do this through the use of pythagoras theorem

a² = b² + c²

8² + 6²

a = √100

= 10

4² + 6²

= 52

a = √52

Then we would have

10 + 10 + √52 + √52

= 34.42

This is approximately 35 feet

The feet of wood that is needed is given as 35 feet

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Answer:

The number of feet of wood that is needed is given as 35 feet of wood

Step-by-step explanation:

I just did it on E2020 and got it right

Answer:

a = 1500     b = .97

Step-by-step explanation:

1500 ( .97)^x       = bone density after n years

                              3% loss leave 97% each year   (.97 in decimal)

The volume of cone whose area of base is 8π[tex]mm^{2}[/tex] is 32π/3 [tex]mm^{3}[/tex].

Given area of base of the cone 8π[tex]mm^{2}[/tex].

We are required to find  the volume of the cone.

We know that base of a cone used to be in circle  so the area of base of cone is equal to π[tex]r^{2}[/tex].

Area=8π   (given)

π[tex]r^{2}[/tex]=8π

[tex]r^{2}[/tex]=8

r=[tex]\sqrt{8}[/tex]

r=2[tex]\sqrt{2}[/tex]

Volume of cone=1/3*π[tex]r^{2} h[/tex]

=1/3*π[tex](2\sqrt{2} )^{2}[/tex]*4

=1/3*8*4π

=32π/3

(We are not required to put value of π so our answer will be 32π/3.)

Hence the volume of cone whose area of base is 8π is 32π/3.

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Question is incomplete as it should also include height of cone be 4 mm.

Account balance at the end of day is 195.

A word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation.

now according to question

initial balance in account on march 16 =80

deposit in account on the same day = 50

overdraft fee charged by bank=25

several transactions amount deposited in bank=90

total amount deposited /available in bank account.

=80+50+90

=220

total amount deducted from account

=25

account balance at the end of day

=220-25

=195

hence answer is 195

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The probability of on- time arrival in class given that the subject is biology is 82.4%.

Given the following table relating to subject on tie assignment submission and on time arrival in class.

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

We have to find the probability of on time arrival in class given that the subject is biology.

We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.

From the table the probability of on time arrival in class given that the subject is biology is 82.4%

Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.

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Question is incomplete as it should includes the following table:

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

Answer:

82.4%.

Step-by-step explanation:

Answer:

1800(5/6)^t

Step-by-step explanation:

I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.

Option 2) the first set of data has values that are closer to the mean because the standard deviation is lower is correct

If two samples have the same mean, then it means that the two values in the two samples are centered around the same value. However, this does not mean that the data values in the samples vary equally around this center and thus the standard deviations may also differ.

It depends what the standard deviations are. The standard deviation is a measure of how close the results are to the mean, a low standard deviation means that the measurements are accurate, so close to the mean. A high standard deviation means that the measurements are more spread out.

We need to find that if two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets

The first set of data has values that are closer to the mean because the standard deviation is lower because in first set standard deviation is 1.4 and in second set standard deviation is 5.7

The one with smaller standard deviation are least spead from the mean

Hence the first set of data has values that are closer to the mean because the standard deviation is lower.

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Answer:

BrainlyMidIsBusy Sucks

One linear equation y=x ......(i)

And quadratic equation y=x^2 .....(ii)

(1)Solving them

y=x=x^2

x-x^2=0

x(x-1)=0

If x=0 then y=0

if x=1 then y=1

(x,y)=(0,0),(1,1)

(2) graphically [refer in attachemet]

What is linear equation ?

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Answer:

13. 10a^4b²

14. -5y³ + 35y² - 10y

Step-by-step explanation:

Question 13:

(5a³b) (2ab) =

=10a^4b²

Question 14:

5y (-y² + 7y - 2) =

= -5y³ + 35y² - 10y

Hope this helps!

Answer:

y = -3x - 28

Step-by-step explanation:

y = mx + b is the slope-intercept of a line.  To write an equation in this form.  I need to find the slope (m) and the y-intercept (b).  Yay!  They gave us the slope (m).  It is -3.  Now we just need to figure out the y.  We can do that by plugging in the slope (-3) and using the x (-8) and the y (-4) that they gave us from the point to solve for b.

y = mx + b

-4 = -3(-8) + b  Multiple -3(-8) Remember a negative times a negative is a positive.

-4 = 24 + b  Now subtract 24 from both side of the equation

-28 = b  Now we can write the equation

y = mx + b

y = -3x + (-28) or y = -3x -28.  Adding a negative is the same as subtracting a positive.

Using similar triangles, it is found that the height of the taller pole is of 9.6m.

Similar triangles are triangles that have the same angles, and whose side lengths are proportional.

The hypotenuse of the smaller triangle is given as follows:

h² = 6² + 8² -> h = 10.

Hence the proportional relationship is:

[tex]\frac{10}{16} = \frac{6}{h}[/tex]

Applying cross multiplication:

10h = 96

h = 9.6m.

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Answer:

1/4

Step-by-step explanation:

I think that you forgot the addition or the subtraction sign between -4x  and 5.  I will assume that it was an addition sign

3(-4x+5) = 12  Multiply everything in the parentheses by 3

-12x + 15 = 12  Subtract 15 from both sides

-12x = -3  Divide both sides by -12

x = -3/-12 = 3/12 =1/4

The measure of ∠6 is 54 degrees.

When parallel lines are cut by a transversal, angle relationship are formed. Therefore,

∠6 = 5x + 9 (vertically opposite angles)

∠6 = ∠2

Hence,

∠2 + 13x + 9 = 180

5x + 9  + 13x + 9 = 180

18x = 162

x = 162 / 18

x = 9

Hence,

∠6 = 5(9) + 9  54°

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Formula  [tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex]  for the circumference of a circle.

Archimedes stated in his Proposition that the area of a circle is equal to the area of a triangle with a base equal to the circumference and a height equal to the radius: (1/2)(r · 2πr) = πr2. Archimedes arrived at his approximation of the circumference of the circle by increasing the number of sides of the hexagon. Archimedes claimed that the area of any circle is equal to the area of a right triangle, where the radius of the circle is represented by one side and the circumference by the other.

Archimedes demonstrated using a similar method that the area of a circle of diameter D is equal to the area of a right-angled triangle with one side equal to the radius and the other to the circumference of the circle on the right angle.

Formula for the circumference of a circle:

A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.

The circumference is diameter x pi, or 2 x radius x pi.

[tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex].

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Answer: 3n+3

Step-by-step explanation:

Adding 1 to an odd number results in an even number.