Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
I apologize, but we would need the chart included below the questions to be able to answer this.
Answer:
-4x-6x=-20=
x=2
-3(2x-3)=33=
x=-4
4x+3x+2x=180
x=20
Step-by-step explanation:
-4x-6x=-20
-4+(-6)=-10x
-10x=20 (divide both by 10)
x=-2 (divide by -1 to get positive)
x=2
-3(2x-3)=33
-6x+9=33
-9 . -9
-6x=24 (divide both by -6)
x=-4 (divide by -1 to make positive)
4x+3x+2x=180
(combine like terms)
9x=180 (divide both sides by 9)
x=20
Answer:
n = 24 - 8.
Step-by-step explanation:
n + 8 = 24
Subtract 8 from each side:
n + 8 - 8 = 24 - 8
n = 24 - 8.