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3 years ago

If ΔABC is similar to ΔDEF, the m∠A = 50 degrees, and m∠E = 70 degrees, what is m∠C?

Mathematics

2 answers:

Goshia [24]3 years ago

5 0

A) 60o because similar triangles have corresponding angles equal so then by Angle Sum Property of Triangles you will get 60o

Kamila [148]3 years ago

3 0

A 60 because the triangle is always similar

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In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

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3 years ago

Rachel walks to a friends house then to the store then back home. the distance from Rachel’s house to her friends house is 1 5/6

ryzh [129]

Answer:

11/12 miles hope this helps :)

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3 years ago

Heeellllppp~ I beg you, I'm crying~ because I have been waiting for a long time now and I have asked this question multiple time

sp2606 [1]

Answer:

5969593829191937373

Step-by-step explanation:

Sister I gotcha b

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3 years ago

What is the third angle in a triangle with two angles of 60* and 45*

REY [17]

The answer is 75° because all three angles of a triangle must add to 180°

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3 years ago

To mail some envelopes, Jason needs 16 stamps that cost 32¢ each and 8 stamps that cost 24¢ each. Which number sentence could be

stepan [7]

16(0.32) + 8(0.24) = c

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3 years ago

Read 2 more answers