-z = 80
You cannot submit an equation with a negative letter ( -z ) so we have to cancel the negative.
To cancel negatives in the equation, we multiply both sides by -1.
-z * -1 = 80 * -1
z = -80
Answer: z = -80
Answer:
other leg is 8.94
Step-by-step explanation:
Pythagorean Theorem is a² + b² = c²
a and b are legs
c is the hypotenuse
8² + b² = 12²
64 + b² = 144
-64 -64
b² = 80
√b² = √80
b ≈ 8.94
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
∠3 and ∠4 are angles that must be supplementary.