For perpendicular lines, m2 = -1/m1 = -1/(-2/3) = 3/2 [m1 = -2/3]
Required equation is y + 2 = 3/2(x + 2) => y + 2 = 3/2 x + 3 => y = 3/2 x + 1
Since ΔABC ~ ΔEDC, ∠B = ∠D.
Since both triangles appear to be similar, the corresponding angles are the same, and corresponding sides are the same or have the same ratio.
We can write an equation to resemble the problem:
8x + 16 = 120
Solve for x.
8x + 16 = 120
~Subtract 16 to both sides
8x + 16 - 16 = 120 - 16
~Simplify
8x = 104
~Divide 8 to both sides
8x/8 = 104/8
~Simplify
x = 13
Therefore, the answer is 13.
Best of Luck!
Answer:
a
Step-by-step explanation:
1/4 5 time is 5/4 and if you multiply by - there will be negative on the product.
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Answer:
x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−6)+12=20
(4)(x)+(4)(−6)+12=20(Distribute)
4x+−24+12=20
(4x)+(−24+12)=20(Combine Like Terms)
4x+−12=20
4x−12=20
Step 2: Add 12 to both sides.
4x−12+12=20+12
4x=32
Step 3: Divide both sides by 4.
4x
4
=
32
4