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3 years ago

7

Janet is trying to prove that the sum of the measures of the interior angles of a triangle is 180°.

2 answers:

Butoxors [25]3 years ago

7 0

Answer:

A Alternate interior angles of parallel lines are congruent

Step-by-step explanation:

The referenced angles (1, A), (3, C) are alternate interior angles, not corresponding or exterior. The symmetric property does not apply. The only answer choice with any applicability is the one shown above. (It is also the right choice.)

pogonyaev3 years ago

6 0

Answer:

<h2>A . Alternate interior angles of parallel lines are congruent</h2>

Step-by-step explanation:

If you observe the image, the statement that Janet wants to justify is

$\angle 1 \cong \angle A$

$\angle 3 \cong \angle C$

According to the given graph, these angles are inside parallels because $DE \parallel AC$ by given, and these angles are at different sides of the transversals $BA$ and $BC$ , those position define Alternate Interior Angles, which by theorem they are congruent.

Therefore, the right reason of such congruence is

<em> A . Alternate interior angles of parallel lines are congruent.</em>

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3 years ago

Find the sum.<br> 7x + 15x=

BaLLatris [955]

Answer:

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Step-by-step explanation:

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jonny [76]

Answer:

(tan(theta)-1)^3

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2 years ago

In a study of the accuracy of fast food drive-through orders, one restaurant had 36 orders that were not accurate among 324 ord

tia_tia [17]

Answer:

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to 10%.

Step-by-step explanation:

We want to use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%.

We set up our hypothesis to get:

$H_0:p=0.10$ ------->null hypothesis

$H_1:p\ne0.10$ ------>alternate hypothesis

This means that: $p_0=0.10$

Also, we have that, one restaurant had 36 orders that were not accurate among 324 orders observed.

This implies that: $\hat p=\frac{36}{324}=0.11$

The test statistics is given by:

$z=\frac{\hat p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }$

We substitute to obtain:

$z=\frac{0.11-0.1}{\sqrt{\frac{0.1(1-0.1)}{324} } }$

This simplifies to:

$z=0.6$

We need to calculate our p-value.

P(z>0.6)=0.2743

Since this is a two tailed test, we multiply the probability by:

The p-value is 2(0.2723)=0.5486

Since the significance level is less than the p-value, we fail to reject the null hypothesis.

We do not have sufficient evidence to reject the claim that ,the rate of inaccurate orders is equal to 10%.

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3 years ago