Answer:
116°
Step-by-step explanation:
3x-4+9x+17+6x-31=180
18x-18=180
+18 +18
18x=198
18x/18=198/18
x=11
a=9x+17
a=9(11)+17
a=99+17
a=116°
hopefully this helps :)
Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
Answer:
a. y = -2x + 7
Step-by-step explanation:
First, find the slope by plugging the points into the slope formula, 
, which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.
If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:
base 1 /height 1=base 2 /height 2
Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x
We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m
Answer. the heigth of the tower will 40 m
Step-by-step explanation:
65 - 2 × 7 + 9 ÷ 3
65 - 14 + 3
51 + 3 = 54
Option A is the correct answer
