Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
- AB = 9
- BC = 9
- CD = 12
- DA = 16
and the perimeter is 9 +9 +12 +16 = 46 units.
Answer:
x= -7/10 or x= -0.7 , y= 7
Step-by-step explanation:
Find the x-intercept: Find the y-intercept:
y= 5×2+10x-3 y= 5×2+10x-3
0=10+10x-3 y= 5×2+10×0-3
0=7+10x y= 7
-10x=7
x=-7/10
Answer:
The answer is below⬇️⬇️
Step-by-step explanation:
f(x) = 3x+4
g(x) = 2x
h(x) = x²+x-2
g(hx) = 2(x²+x-2)
= 2x²+2x-4
f(g(hx))=3(2x²+2x-4)+4
=6x²+6x-12+4
=6x²+6x-8
g(f(g(hx)))=2(6x²+6x-8)
=12x²+12x-16
f(g(f(g(hx))))=3(12x²+12x-16)+4
=36x²+36x-48+4
=36x²+36x-44
h(f(g(f(g(hx)))))=(36x²+36x-44)²+36x²+36x-44-2
=1296x⁴+2592x³-1872x²-3168x+1936+36x²+36x-46
=1296x⁴+2592x³-1836x²-3132x+1890
f(h(f(g(f(g(hx))))))=3(1296x⁴+2592x³-1836x²-3132x+1890)+4
=3888x⁴+7776x³-5508x²-9396x+5674
h(f(h(f(g(f(g(hx)))))))=(3888x⁴+7776x³-5508x²-9396x+5674)²+3888x⁴+7776x³-5508x²-9396x+5674-2
=15116544x⁸+60466176x⁷+17635968x⁶-158723712x⁵-71663616x⁴+657591048x³-255531048x²-106635204x+32194276
Answer: I am just hoping that this is the correct answer
Step-by-step explanation:
2(-6 + -5y) + (2y + -8) = 0
(-6 * 2 + -5y * 2) + (2y + -8) = 0
(-12 + -10y) + (2y + -8) = 0
Reorder the terms:
-12 + -10y + (-8 + 2y) = 0
Remove parenthesis around (-8 + 2y)
-12 + -10y + -8 + 2y = 0
Reorder the terms:
-12 + -8 + -10y + 2y = 0
Combine like terms: -12 + -8 = -20
-20 + -10y + 2y = 0
Combine like terms: -10y + 2y = -8y
-20 + -8y = 0
Solving
-20 + -8y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + -8y = 0 + 20
Combine like terms: -20 + 20 = 0
0 + -8y = 0 + 20
-8y = 0 + 20
Combine like terms: 0 + 20 = 20
-8y = 20
Divide each side by '-8'.
y = -2.5
Simplifying
y = -2.5
