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3 years ago

Question one 1: ABCDE is regular Pentagon find the measure of angle AEB?

Mathematics

1 answer:

Rudiy273 years ago

4 0

Answer:

36°

Step-by-step explanation:

#1). 180°(n - 2) / n

The measure of the interior angle of regular pentagon is

180° ( 5 - 2) / 5 = 108°

ΔAEB is isosceles ⇒ ∠AEB ≅ ∠ABE

m∠AEB = (180° - 108°) / 2 = 36°

#2). Yes. lines are parallel.

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3 years ago

Given the side lengths below, which would not create a right triangle? A. 5, 12, 13 B. 8, 15, 17 C. 6, 8, 10 D. 5, 10, 15

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3 years ago

Find the measure of the angle zxy

Liula [17]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

If MP = 6x – 5, QR = 3x + 1, and RN = 6, what is QN?

NeTakaya

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

$MP=QN$

$MP=QR+RN$

Substitute the given values.

$6x-5=3x+1+6$

$6x-5=3x+7$

$6x-3x=5+7$

$3x=12$

$x=4$

The value of x is 4.

$QN=MP=6x-5=6(4)-5=24-5=19$

Hence, the measure of QN is 19 units.

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4 years ago