Answer:
x=2 y=1
Step-by-step explanation:
Solve the equations by substituting y=6x-11 into -2x-3y=-7.
-2x-3(6x-11)=-7
-2x-18x+33=-7
-20x+33=-7
-20x=-7-33
-20x=-40
x=2
To find y, substitute this value into the equation and solve for y.
y=6(2)-11
y=12-11
y=1
If there are fractions, eliminate them using the right methods. Then gather x and y terms on one side, and the rest on the other side. Simplify.
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
Answer:
1.) FI, AD, FA, DI. (Neither of them are parallel or right angles.)
2.) 95 (Same angle just upside down so it'd be the same size.)
