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svetlana [45]
3 years ago
8

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle A? Show your work.

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0
Quadilateral inside circle follow these rules

sum of opposite angles is 180

so

B + D = 180

C + A = 180

x + 116 = 180

x = 180-116 = 64


A = 2×64 -40 = 128 -40
A = 88
Zinaida [17]3 years ago
5 0

Answer:

88°

Step-by-step explanation:

Angles B and D are supplementary, so the value of x is ...

x = 180° -116° = 64°

Then the measure of angle A is ...

(2x -40)° = (2·64 -40)° = 88°

The measure of angle A is 88°.

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3 years ago
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are stil
lyudmila [28]

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

  • 137 - 16 x 5 = Y
  • 137 - 80 = Y
  • 57 = Y

Learn more about maths in brainly.com/question/25989509

8 0
2 years ago
What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?
AveGali [126]

Answer: A

Step-by-step explanation:

See attached picture

7 0
3 years ago
What's the like terms for ; 7(d-1) + 2 , and the answer being simplified?
Lyrx [107]

Answer: Like terms are -7 and 2. Simplified version would be 7d-5.

Step-by-step explanation:

first you would distribute, so it would be 7(d-1)+2 = 7d-7+2. Combine like terms. The only like terms here are -7 and 2, so just basically subtract -7 from 2 and you would get -5. you can't do anything with 7d because there is no like term for it.

7 0
3 years ago
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