Answer:
<h2><em> -12y² + 72y</em></h2>
Step-by-step explanation:
Use the distributive property: <em>a(b + c) = ab + ac</em>
<em>-12y(y - 6) = (-12y)(y) + (-12y)(-6) = -12y² + 72y</em>
Answer:
Step-by-step explanation:
You set the expressions equal to each other since they are congruent, then solve.
5x + 24 = 9x - 17
First subtract 24 from both sides to get
5x = 9x - 41
The subtract 9x from both sides to get
-4x = -41
Then divide both sides by -4 to get
x = 41/4 or as a decimal x = 10.25
In the triangle XYB
cos(x)=XY/XB
in the triangle AYZ
cos(z)=YZ/AZ
we know that
cos(x)=cos(z) and XY=YZ
therefore
XY/XB=YZ/AZ-------------- > (XY/YZ)=(XB/AZ) remember that XY=YZ
1=(XB/AZ)---------- > XB=AZ---------- > the statement was proved
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
