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katovenus [111]
3 years ago
9

HELP ASAP****

Mathematics
1 answer:
Anettt [7]3 years ago
8 0
I think the answer is b but i am unsure its been awhile since i learned this 
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The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Wri
emmainna [20.7K]

Answer:

a. i. x + y = 180  (1) and  x - 4y = 5   (2)

ii. The two acute angles are 35° each and the two obtuse angles are 145° each.

Step-by-step explanation:

a. The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.

i. Write a system of equations to find the measures of all the angles.

Let x be the obtuse angles and y be the acute angles.

Since we have two obtuse angles at the top of the isosceles trapezoid and two acute angles at the bottom of the isosceles trapezoid, and also, since the sum of angles in a quadrilateral is 360, we have

2x + 2y = 360

x + y = 180  (1)

Its is also given that the measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles.

So, x = 4y + 5   (2)

x - 4y = 5   (2)

So, our system of equations are

x + y = 180  (1) and  x - 4y = 5   (2)

ii. Solve a system of equations to find the measures of all the angles.

Since

x + y = 180  (1) and  x - 4y = 5   (2)

Subtracting (2) from (1), we have

x + y = 180  (1)

-

x - 4y = 5   (2)

5y = 175

dividing both sides by 5, we have

y = 175/5

y = 35°

From (1), x = 180° - y = 180° - 35° = 145°

So, the two acute angles are 35° each and the two obtuse angles are 145° each.

4 0
3 years ago
is there a proportional relationship between the area of an enlarged rectangle and the area of the original rectangle
Maru [420]
I don’t think so because I haven’t done this sorry
6 0
3 years ago
Graph each number on a number line. Write an inequality that is true for the numbers. a.13/8 and 3/8
sweet [91]

Answer:

3/8 is true inequality

8 0
2 years ago
Please help me with these 2 questions!!
IceJOKER [234]

Answer: 53. B similar

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Plz HELP I am struggling with this please provide answer and explanation PLZ!!! WILL MARK BRAINLIEST!!!!!!!!!!!!!!
Alexxandr [17]
The answer is 3/1 - the positive one
3 0
3 years ago
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