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sasho [114]
3 years ago
9

I need help on 15-18

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer and step-by-step explanation:

15. 7(8+t) -5t

Break the bracket, we got:

= 7*8 + 7*t - 5t

= 56 + 7t - 5t

= 56 + 2t or 2 (28 + t)

16. 4n - 2n = 84

2n = 84

Divide both side by 2:

2n / 2 = 84 / 2

n = 42

17. y + 3y = 96

4y = 96

Divide both side by 4:

4y / 4 = 96 / 4

y = 24

18. 5p - 2p = 51

3p = 51

Divide both side by 3:

3p / 3 = 51 / 3

p = 17

Hope this helped :3

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3 years ago
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Finger [1]

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

AB=AC                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

\angle B\cong \angle C

m\angle B\cong m\angle C

m\angle B\cong 49^\circ

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

m\angle ADB=90^\circ

x^\circ=90^\circ

In triangle ABD,

m\angle DAB+m\angle ABD+m\angle ADB=180^\circ         [Angle sum property]

y^\circ+49^\circ+x^\circ=180^\circ

y^\circ+49^\circ+90^\circ=180^\circ

y^\circ=180^\circ-49^\circ-90^\circ

y^\circ=41^\circ

Therefore, the correct option is B.

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