Clayton is shopping for a new shower. He is comparing the water usage of cach as he is shopping .

Which of the following theorems verified that angle xyz is congruent too angle uwv?

icang [17]

Answer:

Option B. AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

In the triangle XYZ

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

In the triangle UWV

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0

3 years ago

Which of the sums below can be expressed as 7(4 9)? 28 9 28 637 6311 16?

Kay [80]

Can you go deeper into the question?

3 0

3 years ago

6+9=?<img src="https://tex.z-dn.net/?f=6x%5E%7B2%7D%20%2B7x-9%3D" id="TexFormula1" title="6x^{2} +7x-9=" alt="6x^{2} +7x-9=" ali

ELEN [110]

Answer:

are u sure thet write the question right?

4 0

3 years ago

What is the greatest common factor (GCF) of 18 and 54?

Mariana [72]

Answer:

GCF of 18 and 54 is 18.

Step-by-step explanation:

5 0

2 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

3 0

3 years ago