All categories

3 years ago

For each triangle, find the value of x and find the missing angle(s)

Mathematics

1 answer:

Vikki [24]3 years ago

8 0

Answer:

$71° = m∠G$

$54° = m∠T$

$10 = x$

Step-by-step explanation:

Use the Triangular Interior Angles Theorem to figure this out:

180° = [7x + 1]° + [6x - 6]° + 55°

180° = [−5 + 13x]° + 55°

180° = [50 + 13x]°

-50° - 50°

____________

$\frac{130°}{13} = \frac{[13x]°}{13} \\ \\ 10° = x$

You then plug this back into all three expressions to get 71° as the measure of ∠G and 54° as the measure of ∠T.

I am joyous to assist you anytime.

You might be interested in

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

3 years ago

I need help please .

alex41 [277]

Answer:

2,880

Step-by-step explanation:

V = L (length) × H (height) × W (width)

V = 24×8×15 = 2,880 square inches

3 0

3 years ago

Read 2 more answers

A figure is made up of one square and one triangle. The square has a side Length of 13 feet. The triangle has a base of 13 feet

Marysya12 [62]

Im pretty sure it’s A because a squares area is base x height which would be 13x13= 169 then add the area of the triangle which would be 53.3, so 169+53.3 = 222.3

6 0

3 years ago

Which of the following ratios is equivalent to 5 to 20

morpeh [17]

<h2>which of the following ratios is equivalent to 5 to 20</h2>

10:40

Step-by-step explanation:

because 5/20=1/4 and 10/40 is also equal to 1/4.

hope it helps

4 0

2 years ago

How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a

lesya [120]

Answer:

C. 0.7 yd³

Step-by-step explanation:

Find the volume of cylinder:

V = πr²h

Convert the dimensions into yards:

d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
h = 6 feet = 6/3 yards = 2 yards

Find the volume by substituting the values:

V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0

3 years ago

For each triangle, find the value of x and find the missing angle​(s)

For each triangle, find the value of x and find the missing angle(s)