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katrin [286]
3 years ago
7

Triangle ABC is formed by two parallel lines and two other intersecting lines. Find the measure of each angle A, B, and of the t

riangle.​

Mathematics
1 answer:
Mamont248 [21]3 years ago
6 0

Answer:

<u>A = 61°</u>

<u>B = 72°</u>

<u>C = 47°</u>

Step-by-step explanation:

Well, first of all, we can see that:

61^{\circ}+47^{\circ}+B^{\circ}=180^{\circ}

So, we can find angle B.

B=180^{\circ}-47^{\circ}-61^{\circ}

B=72^{\circ}

Now, we can see to that angle C is just 47°

Finally, we know that the sum of all angles in a triangle is 180°, so we have:

B+A+C=180^{\circ}

A=180^{\circ}-47^{\circ}-72^{\circ}

A=61^{\circ}

I hope it helps you!

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Answer:

6/90/45/30/18/9/2

Step-by-step explanation:

15: 3/5/15/1

45: 45/1/9/5/15/3/

90: 90/1/9/10/45/2/15/6/3/30/5/18

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I need help please as soon as possible
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Answer:

a. 86-degrees; angle-2 corresponds to the given angle.

Step-by-step explanation:

Angle 2 is 86 degrees. Whenever a line is bisected by another line, 4 angles are formed. The opposite angles aka the kissing V's have the same angle measurement. Angle 2 and 86-degrees are the kissing V's here, thus they have the same angle measure.

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

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Use the distributive property to evaluate the expression.
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Answer:

208 or 26(8)

Step-by-step explanation:

8*26=208

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Margo added three multi-digit decimal numbers. The first number was 5.19. The second number was 10 times the first number. The t
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Answer: 576.09

Step-by-step explanation:

First number = 5.19.

The second number was 10 times the first number which will be:

= 5.19 × 10

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The third number was 10 times the second number. Thus will be:

= 51.9 × 10

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The sum of the numbers will be:

= 1st number + 2nd number + 3rd number

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= 576.09

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