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2 years ago

What is the measure of angle AFE? 79 81 91 99

Mathematics

2 answers:

Margarita [4]2 years ago

4 0

Answer:

AFE = 99°

Step-by-step explanation:

Correct on E2020

zaharov [31]2 years ago

4 0

Answer: $99^{\circ}$

Step-by-step explanation:

In the given picture , we have a hexagon having all its exterior angles.

We know that the sum of all exterior angles is $360^{\circ}$ .

Let x be measure of $\angle{AFE}$

Then , the exterior angle to $\angle{AFE}=180^{\circ}-x$

Then According to the given figure , we have

$62^{\circ}+44^{\circ}+70^{\circ}+60^{\circ}+43^{\circ}+180^{\circ}-x=360^{\circ}\\\\\Rightarrow\ 459^{\circ}-x=360^{\circ}\\\\\Rightarrow\ x=459^{\circ}-360^{\circ}\\\\\Rightarrow\ x=99^{\circ}$

Hence, the measure of $\angle{AFE}=99^{\circ}$

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2 years ago

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Answer:

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Step-by-step explanation:

Formula:

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2 years ago

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ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

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DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

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2 years ago

On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is

sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

Point P is at (4, 2),
Point Q is at (8, 5),
Point R is at (5, 9), and
Point S is at (1, 6)

Midpoint of SQ $=\frac{1}{2}(1+8,5+6)=(4.5,5.5)$

Midpoint of PR $=\frac{1}{2}(4+5,2+9)=(4.5,5.5)$

Now, we have established that the midpoints (point of bisection) are at the same point.

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In option D

Slope of RP =7

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Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

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2 years ago

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Answer:

Step-by-step explanation:

a) this involves 2 tails

The critical value is determined from the t distribution table.

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Looking at 0.975 with df 10

The critical value is 2.228

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Looking at 0.975 with df 20

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Looking at 0.995 with df 20

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1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Looking at 0.995 with df 60

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Looking at 0.99 with df 10

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Looking at 0.975 with df 5

The critical value is 2.571

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2 years ago