What is the value of Q

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

The three angles should add to 180 degrees because they come from the same straight line. So 180-52-58=70.

KatRina [158]3 years ago

3 0

Answer:

∠q = 70

Step-by-step explanation:

Angles formed on a straight line add up to equal 180°

Thus, 180 = 52 + 58 + q

52 + 58 = 110

180 = 110 + q

180 - 110 = 70

Hence, q = 70

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Deb deposited $70 in a savings account earning 10% interest, compounded annually.

bija089 [108]

Answer:

Deb will have $93.17 in 3 years

Step-by-step explanation:

FV = P(1 + r)^n

FV = 70(1+0.1)^3

FV = 70(1.331)

FV = 93.17

7 0

3 years ago

70 POINTS SHOW WORK

lord [1]

Area of triangle = 1/2 x base x height

so old triangle we have 1/2 x b x h = 48

new triangle has base 3 times as long and height is half as long
so we would get:

1/2 x (3B) x (1/2H) = area

rewrite as 1/2 x 3/2 x b x H = area

divide by original are os 1/2 x b x h and you end up with 3/2

so new area = 3/2 x old area

new area = 3/2 * 48 = 72 square inches

8 0

4 years ago

Read 2 more answers

Plot the vertices (-2, -8), (-2, 2), and (8, 2).

charle [14.2K]

Answer:

(8, -8)
100 square units

Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

(A+C)/2 = (B+D)/2

D = A + C - B

D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)

D = (8, -8)

The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.

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<em>Comment on side lengths</em>

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.