Answer:
Step-by-step explanation:
Pythagorean theorem:
x² + x² = (9√2)²
2x² = 162
x² = 81
x = 9
8 x 9 = 72
So 72 is your answer
Answer:
(8, 0 )
Step-by-step explanation:
under a reflection in the line y = - x
a point (x, y ) → (- y, - x ) , then
(0, - 8 ) → (8, 0 )
Answer:
x = 13.5
Step-by-step explanation:
direct variation
y = kx
substitute x and y to find k
8 = k*6
divide by 6
8/6 =k
4/3 = k
y = 4/3 x
now put in y =18
18 = 4/3 x
multiply by 3/4
18 * 3/4 = 3/4 * 4/3 x
54/4 = x
change to a decimal
13.5 =x
Answer:
Larger angle: 80 degrees
Smaller angle: 10 degrees
Step-by-step explanation:
complementary angles = two angles that add up to 90 degrees
x = larger angle
x + x - 70 = 90 Add like terms
2x - 70 = 90 Add 70 on both sides
2x = 160 Isolate the variable by dividing 2 on both sides
x = 80
x = larger angle , 80 degrees
x - 70 = smaller angle , 10 degree
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