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3 years ago

Find the value of x. Then find the measure of each labeled angle.

Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

x = 111

Step-by-step explanation:

x + x - 42 = 180 {Lines are parallel. So, they are supplementary}

2x - 42 = 180

Add 42 to both sides

2x - 42 + 42 = 180 + 42

2x = 222 {Divide both sides by 2}

x = 222/2

x = 111

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Please help me!!! I have more points for this!

olga2289 [7]

Answer:

Thanks for the points :)>

Step-by-step explanation: yeahhh shawtyyy

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3 years ago

What is the degree measure of b? A)) 29° B) 32° C) 61° D) 64°

Lemur [1.5K]

Answer:

B 32

Step-by-step explanation:

The exterior angle is the sum of the measure of the measure of the opposite interior angles.

151 = 119+b

Subtract 119 from each side.

151-119 = 119-199+b

32 = b

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3 years ago

Read 2 more answers

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value = $=0.0011541$

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3 years ago

What is the value of x?

Alex_Xolod [135]

Answer:

x=4

Step-by-step explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4

7 0

3 years ago

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What is the angle of BTC, Angle TBC,Angle TCB

Goryan [66]

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

<h3>How to determine the angles of a triangle inscribed in a circle</h3>

According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.

Since AT and BT represent the radii of the circle, then the triangle ABT is an isosceles triangle. By geometry we know that the sum of internal angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.

The angles ATB and BTC are supplmentary and therefore the measure of the latter is 128°. The triangle BTC is also an isosceles triangle and the measure of angles TBC and TCB is 26°.

By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823

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2 years ago