Measure of angle 7 = 2x+15 measure of angle 8 = 3x

1 answer:

3 0

4(1-2x)= 3(3-y)-12
4-8x=9-3y-12
-8x+3y=9-12-4
-8x+3y=-7
-----------------------
2(3x-1)-(y+4)= -7
6x-2-y-4=-7
6x-y=-7+2+4
6x-y=-1 multiply by 3 & add
18x-3y=-3
-8x+3y=-7
-------------
10x=-10
x=-10/10

x=-1 ans.
4(1-2*-1)=3(3-y)-12
4(1+2)=9-3y-12
4*3=-3-3y
12=-3-3y
3y=-3-12
3y=-15
y=-15/3
y=-5
Proof:
2(3*-1-1)-(-5+4)=-7
2(-3-1)-(-1)=-7
2*-4+1=-7
-8+1=-7
-7=-7

You might be interested in

When you type your brainly password it sensors it out ********** I just tried, I never knew

Margaret [11]

Oh gosh, that is so cool

5 0

2 years ago

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$