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2 years ago

Does anyone know the answer to this ???

Mathematics

1 answer:

Jlenok [28]2 years ago

8 0

ΔQRS ≅ ΔGFE because :

∠Q = ∠G = 55°( corresponding part )

∠R = ∠F = 60° ( corresponding part )

∠S = ∠E = 65° ( corresponding part )

QS = GE = 16 ( corresponding part )

Therefore , the correct answer is :-

You might be interested in

6 is 55% of what number? Round answer to nearest tenth (1 number after decimal)

Arada [10]

Answer:

10.9

Step-by-step explanation:

Formula = Number x 100

Percent = 6 x 100

55 = 10.91

Following shows the steps on how to derive this formula

Step 1: If 55% of a number is 6, then what is 100% of that number? Setup the equation.

55% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

55Y = 6 x 100

55Y = 600

Y = 600

100 = 10.91

8 0

2 years ago

Solve the equation for x. 2 3 x −1 9 x + 5 = 20 x =

zubka84 [21]

Answer:

5/2

Step-by-step explanation:

23x-19x+5=2x

23x-19x-2x=5

2x/2=5/2

x=5/2

3 0

2 years ago

Read 2 more answers

GEOMETRY Kymani has two equal-sized large pitchers and two equal-sized small pitchers. All of the pitchers together hold 40 cups

melamori03 [73]

Each of the small pitcher will contain 4 cups of water while each of the large pitcher will contain 16 cups of water.

Therefore, two equal-sized large pitchers will hold 32 cups of water while the two equal-sized small pitchers will hold 8 cups of water

<h3>Larger Pitchers</h3>

The 2 larger pitchers are equal in size.

Let

each size of the large pitcher = x

Two large size pitcher = 2x

<h3>Smaller Pitchers</h3>

The 2 smaller pitchers are equal in size

let

each size of the pitcher = y

Two small sized pitchers = 2y

<h3>Pitchers Capacities</h3>

The whole pitchers holds 40 cups of water. Therefore,

2x + 2y = 40

The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. Therefore,

x - y = 12

Combine the equations.

2x + 2y = 40

x - y = 12

x + y = 20

2y = 8

y = 8 / 2

y = 4

x - 4 = 12

x = 12 + 4

x = 16

learn more on geometry here: brainly.com/question/26109140?referrer=searchResults

8 0

1 year ago

When you walk across the carpet and touch a metal doorknob, you create a spark. This occurs because ______________.

Alexeev081 [22]

Answer:

Step-by-step explanation:

7 0

2 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

2 years ago