Question

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Answer 1

Answer:

8) The measure of angles are 40°, 60°, 100°, and 160°

9) The Rational Number is (61/53)

Step-by-step explanation:

8)

Let the measures of each of the angle be 2x°, 3x°, 5x°, 8x°

Now we know that,

By Angle Sum Property of Quadrilaterals, all angles of a Quadrilateral equal to 360°

then,

2x + 3x + 5x + 8x = 360°

18x° = 360

x = 360/18 = 20

Thus, the measures of the angles are 2×(20), 3×(20), 5×(20), and 8×(20) = 40°, 60°, 100° and 160°

9)

Let the Rational Number be of the form p/q

Now, According to the Question,

p = q + 8 ----- 1

also,

(p + 17)/(q - 1) = 3/2

Cross multiplying we get,

2 × (p + 17) = 3 × (q - 1)

2p + 34 = 3q - 3

2p - 3q = -34 - 3

2p - 3q = -37 ------ 2

Now, we have

p = q + 8 and 2p - 3q = -37

Thus, Putting eq.1 in eq.2 we get,

2(q + 8) - 3q = -37

2q + 16 - 3q = - 37

-q = - 37 - 16

-q = -53 (Multiplying both sides by -1)

q = 53

Now, Putting q = 53 in eq.1,

p = 53 + 8

p = 61

Thus,

The Rational Number is p/q = (61/53)

Hope it helped and you understood it........All the best

Answer 2

Answer:

I purple u loads lil.......how was your paper?

Step-by-step explanation:

did u do gud in exam?.........

And

congratulations lil for 400 followers