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Reika [66]
3 years ago
6

Triangles PQR and XYZ are similar triangles. Which are the other two angle measures of triangle XYZ?

Mathematics
2 answers:
Julli [10]3 years ago
5 0

Angle Z = Angle R = 35 degrees

Angle Y = 180-70-35 = 180-105 = 75

35 & 75 degrees

Effectus [21]3 years ago
3 0

Answer:

A, C

Step-by-step explanation:

We are given that the triangles PQR and XYZ are similar.

Also, ∠ZXY = 70°  and ∠PRQ = 35°.

Now, we know that when two triangles are similar, then the corresponding angles are same.

Therefore, ∠XZY = ∠PRQ = 35°

Now, in triangle XYZ, we have ∠XZY = 35° and ∠ZXY = 70°.

Since, we know that the sum of the angles of a triangle is 180°.

So, ∠XZY + ∠ZXY + ∠ZYX = 180°

i.e. 35° + 70° + ∠ZYX = 180°

i.e. ∠ZYX = 180° - ( 35° + 70° )

i.e. ∠ZYX = 180° - 105°

i.e. ∠ZYX = 75°

Hence, the other two angle measures of triangle XYZ are 35° and 75°.

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Answer:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

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The p value for this case would be given by:

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Step-by-step explanation:

Information given

\bar X=24 represent the mean height for the sample  

s=2.2 represent the sample standard deviation

n=14 sample size  

\mu_o =25 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

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The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

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The p value for this case would be given by:

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