For the given figure, justify the statement ∠1 ≅ ∠2

Answer:

the answer is 14

Step-by-step explanation:

you first add both side to 4 and get x=14

Answer: x = 14

Explanation: Our only step in solving the equation is to add 4 to both sides and the reason that we can add the same quantity to both sides of an equation is based on the addition property of equality.

So the solution to this equation is x = 14.

Answer:

x is 4.47

Step-by-step explanation:

[tex]{ \sf{ {x}^{2} - 20 = 0 }} \\ { \sf{ {x}^{2} = 20}} \\ { \sf{x = \sqrt{20} }} \\ { \sf{x = 4.47}}[/tex]

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]

Thank you

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

Answer:

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

[tex]A (n) = a ({r})^{n - 1} [/tex]

where

a is the first term

r is the common ratio

n is the number of terms

To find the eighth term we must first find the first term

4th term = 108

common ratio = 3

That's

[tex]A(4) = a ({r})^{4 - 1} [/tex]

[tex]108 = a ({3})^{3} [/tex]

[tex]27a = 108[/tex]

Divide both sides by 27

For the eighth term

[tex]A(8) = 4 ({3})^{8 - 1} [/tex]

[tex]A(8) = 4({3})^{7} [/tex]

The final answer is

Hope this helps you

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

Answer:

x=0

x=6

x=-1

Step-by-step explanation:

x(x^2-5x-6)

x(x-6)(x+1)

x=0

x=6

x=-1

Answer:

Options (B) and (D)

Step-by-step explanation:

If a triangle is a 30° - 60° - 90° triangle, measure of the angle between the leg and hypotenuse will be either 60° or 90°.

Therefore, by applying Cosine rule in the given options.

c² = a² + b² - 2abCosC

All the given options are the right triangles.

[Since they follow the Pythagoras theorem]

Option (A),

Angle between the sides having measures 3 and 5 units,

4² = 3² + 5² - 2(3)(5)CosC

16 = 9 + 25 - 30.CosC

30.CosC = 18

[tex]C=\text{Cos}^{-1}(\frac{5}{6} )[/tex]

C = 33.56°

Therefore, this triangle is not a 30-60-90 triangle.

Option (B),

Angle between the sides measuring 5 and 10 units,

[tex](5\sqrt{3})^2=5^2+10^2-2(5)(10)\text{CosC}[/tex]

75 = 125 - 100(CosC)

Cos(C) = 0.5

C = 60°

Therefore, other angles of the triangle will be 30° and 90°.

And it's a 30°-60°-90° triangle.

Option (C),

10, 10, 10√2

It's a right triangle and the measure of legs are equal.

Since legs of this sides are equal, angles opposite to these equal sides will be equal.

Sum of all interior angles = 180°

m∠A + m∠B + m∠C = 180°

If m∠B = 90°

m∠A + 90° + m∠C = 180°

2(m∠A) = 90°

m∠A = 45°

Therefore, the given sides make a 45°- 45°- 90° triangle.

Option (D).

Angle between the sides 3 and 6,

(3√3)² = 3² + 6² -2(3)(6)CosC

27 = 9 + 36 - 36.(CosC)

CosC = [tex]\frac{18}{36}[/tex]

C = [tex]\text{Cos}^{-1}(\frac{1}{2})[/tex]

C = 60°

Therefore,

These sides make a 30°- 60°- 90° triangle.

Options (B) and (D) are the 30°- 60°- 90° triangle.  

Answer:

The half-way coordinate between the end points.

Step-by-step explanation:

The half-way coordinate between the end points.

Answer:

-0.65

Step-by-step explanation:

Step 1: Write out fraction

-13/20

Step 2: Evaluate fraction

-13/20 = -0.65

Answer:

150 front tickets and 250 back tickets

Step-by-step explanation:

make 2 equations 25x + 15y = 7500 and x + y = 400 and do substitution on a graphing calculator or by your self.

let me know if this helps

Answer:

35m

Step-by-step explanation:

Each tank has 35 fish and the total fish tanks is m, so to find the total you will need to do 35*m.

This is an expression because it does not have anything it is equal to.

Expression: No equal sign

Equation:Equal Sign

Hope this helps!:)

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

Answer: Answer is the steps

Step-by-step explanation:

If they are down by seven points then it means that they are losing by 7 points.And fortunately they made  two-point field goal so they will now be down by 5 points. Which means that they need 5 more points to tie the game.

For example,

-7 represents the points that they are down by and they made 2  points so

-7 + 2 = -5   which means that they are now down by 5 points to make a tie game.

Answer:-7+2+5=0

Step-by-step explanation:

Answer:

1109.12

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

y = 6 is line that is parallel to x-axis

So, the required is also parallel to x -axis

The equation of line parallel to x-axis , y = c, where c is y-intercept

y = - 4

Answer:

it uses 3,600 watts of electricity in 3 hours

Electricity used in 40 minutes = 800 watts

So, electricity used in 1 minute

= 800watts/40

= 20 watts

Electricity used in 3 hours

= electricity used in 180 minutes

= electricity used in 1 minute × 180

= 20 watts × 180

= 3600 watts

Answer:

70 people

Step-by-step explanation:

divide both answers by 6

Answer:

70

Step-by-step explanation:

i-ready BOIIIII

Answer:

Step-by-step explanation:

[tex] \mathsf{ 12 {p}^{2} q - 9 {q}^{2} }[/tex]

In such an expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor.

Factor out 3q from the expression

[tex] \mathsf{ = 3q(4 {p}^{2} - 3q)}[/tex]

Hope I helped!

Best regards!

Factorization of 12p²q-9q² is  3q(4p²-3q).

Factorization is defined as breaking an entity into a product of another entity, or factors, which when multiplied together give the original number.

Here, given expression is,   12p²q-9q²

Now, by factorizing this we get,

3q(4p²-3q)

Hence, required factorization is 3q(4p²-3q)

To learn more on factorization click:

https://brainly.com/question/14549998

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Answer:

The triangles are not similar

Step-by-step explanation:

We can see that TU and EU are equal in length but SU and DU are not hence they are not similar

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

Answer:

Yes. When computing the sample standard deviation, divide by n −1. When computing the population  standard deviation, divide by N

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

First equation: the coefficients of x and y are 3 and -2, and the constant is 4.

So the first row should be [3 -2 4].

Second equation: the coefficients of x and y are 6 and -1, and the constant is 10. Hence, the second row should be [6 -1 10].

Answer:

100 -6 = 94

94 - 6 = 88

88 - 6 = 82

82 - 6 = 76

76 - 6 = 70      We can then show and prove 70 -> 64.

                                                                          64 -> 58

                                                                          58 -> 52

                                                                          52 -> 46

                                                                          46 -> 40

As numbers that end in 0, decrease to units that end in 4,8,2,6,and back to zero.

= all numbers that end with 0 have numbers that end in 4,8,2,6,0 when subtracting 6.

As 6 x 10 = 60 and 60 +40 = 100

We cna prove 4+8+2+6  = 20

20+20 = 40 and would continue this pattern to get to 10 we can then see the sequence of how 30/6 and proves each 5 number coordinate being 4,8,2,6,0 until we get to 10.

We then find 4,-2,-8,-14,and-20 it skips out  2 and 6 here on the neutral line but then starts and changes the sequence end numbers to -26 -32, -38,-44 and -50. This proves that-2 and -8 has significance and shows us a real sum that on negative -2 -8 = 6

The inverse of the 40 marker in the positive shows us 60

and 60 -50 = 10 being our 2nd positive closest to zero.

These were repeated twice and show 40 deducted and a further 18 as 0 counts for 2 subtractions 100-6  70-6 just like 94 +6 = 100 and like 70+6 = 76 and 40+6 = 46

3 x 6 = 18

40+ 18 = 58

100-58 = 42 and shows us a reflection again with 4 and 2

not just 4+2 = 6 it shows is 4/2 = 2  42/2 = 21 and 7 being a divider represents the first sequence group of 10 from 100 being 70 and just as significant in a decrease of 6 in relation to 100.

100-70 = 30

30-6 = 24

24 / 6 = 4

and we mark 4 as our first unit with relation to 100 and its decrease of 6 in sequence.

This may help you remember that 30 x 100 = 3000 and would be increasing by 6 x 180 times. But when we decrease from here we find 2400 a likely number as 3000-600 - 2400

This may help you remember that 400/6 = 66.6666666667 and why decrease always ends up as negative when 400 x 6 = 2400 and is a much more dividable number. and that 400 is not dividable by 6 in the first place, and may be linked to why a neutral zero number may show 4 and 10 and -2 and -8 where all these numbers divide into 400 6 just doesn't work in any even hundred number below 1200 except for 600 as we know and recall 6 divides into 30 and 18 but not into 40, just counts back to inverse 40 from 100 as its counting 2 x 30 = 60. It does divide into 2400 and that is a midway point back down to 1800 from 3000. So this may help you remember divisors of larger numbers.

Answer:

Figures A,D are polygons.

Reason:

Polygon is a closed figure with atleast three strange lines and angles.

Answer:

±0.06

Step-by-step explanation:

To find the margin of error using the standard deviation method, use the equation [tex]2(\frac{maximum-minimum}{6})[/tex].

In this situation, it would look like this: [tex]2(\frac{0.50-0.32}{6})[/tex]. Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6})[/tex]

[tex]2(\frac{0.18}{6})[/tex]

[tex]2(0.03)[/tex]

[tex]0.06[/tex]

Hope this helps!

(I know this is right because its what I answered on the test, and got 100%)

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

we have given that,

A sample proportion of 0.44 is found.

The minimum sample proportion from the simulation is 0.32

The maximum sample proportion from the simulation is 0.50

The formula for the margin of error using standard deviation is,

[tex]2(\frac{max-min}{6} )[/tex]

Use the given value in the formula we get,

[tex]2(\frac{0.50-0.32}{6} )[/tex]

Using this equation, you can find the margin of error by using the standard deviation method.

[tex]2(\frac{0.50-0.32}{6} )\\\\=2(\frac{0.18}{6})\\\\ =2(0.03)\\\\=0.06[/tex]

Therefore we get,

The margin of error of the population proportion using an estimate of the standard deviation is 0.06

To learn more about the population proportion using an estimate of the standard deviation visit:

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Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

Answer:

36π inches which is 113.10 inches to the nearest hundredth

Step-by-step explanation:

The circumference = 12 * π

Rotating 3 times  the distance moved is 3 * 12π.

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : https://brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

[tex]x = y + z + 2[/tex], which is option B.

---------------

[tex]x = y + z + 2[/tex]

Which is given by option B.

A similar problem is given at https://brainly.com/question/24233433