Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
x = 19
Step-by-step explanation:
The two angles with measures are supplementary.
6x + 9 + 4x - 19 = 180
10x - 10 = 180
10x = 190
x = 19
Answer:
a) 14
=14 x 16 ounces
= 224
b) 18.2 x 1 kilogram
= 18.2 x 1000 grams
= 18200
Step-by-step explanation:
<span>
<span>We can
use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the
sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters.
We know that since the park is square, A² + B² = 2A² = 2B²
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are
roughly 21.2 meters.</span>
</span>
First, write the expression.
180=(x+96)+5x
Second, add all coefficients.
180=6x+96
Subtract 96 from each side.
180-96=6x+96-96
84=6x
Divide both sides by 6.
14=x
Now that you have found the value of x, substitute x to solve the angles.
The first angle:
x+96
14+96=110 degrees
The second angle:
5*x
5*14=70 degrees
