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Gekata [30.6K]
2 years ago
8

What is the answer to the question down below

Mathematics
1 answer:
ratelena [41]2 years ago
5 0

We conclude that the measure of that angle is 150 degrees.

<h3>How to get the measure of angle BFE?</h3>

Notice that  the measure of angle ∠BFE will be equal to:

∠BFE = ∠BFC + ∠CFD + ∠DFE

Where:

∠CFD = 90°

∠DFE = 30°

And we will have that:

∠AFC = 180° - 90° - 30° = 60°

And we know that BF bisects that angle, then:

∠BFC = 30°

So we conclude that:

∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°

We conclude that the measure of that angle is 150 degrees.

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

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Consider the following hypothesis test H0 p 20 Ha p 20 A sample of 400 provided a sample proportion p 175 a Compute the value of
Bogdan [553]

Answer:

a) -1.25

b) 0.2112

c) -1.96

Step-by-step explanation:

Data provided in the question:

Sample size, n = 400

H0 : p = 20

\bar{p} = 175

Now,

a) The test statistic is  given as:

Z = \frac{(\bar{p}-p)}{\sqrt{\frac{p(1-p)}{n}}}

on substituting the respective values, we get

Z = \frac{(0.175-0.2)}{\sqrt{\frac{0.2\times0.8}{400}}}

= -1.25

b) The p-value = 2 × P(Z <-1.25)

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P(Z <-1.25) = 10.56% = 0.1056

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3 0
3 years ago
What is the value of x?
Ad libitum [116K]

Answer:

x = 15

Step-by-step explanation:

We are told that a right angle is divided into two parts

A right angle = 90°

Part A = 30°

Part B = 4x

Hence:

30° + 4x = 90°

Collect like terms

4x = 90° - 30°

4x = 60°

4x = 60/4

x = 15

Therefore, the value of x = 15

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