Answer:
x =12
Step-by-step explanation:
The two angles are complementary, so the add to 90 degrees
5x+1/2x +24 = 90
Combine like terms
5 1/2 x +24 = 90
Subtract 24 from each side
5 1/2 x = 90-24
Change the mixed number to an improper fraction
11/2 x = 66
Multiply by the reciprocal 2/11 on each side
2/11 *11/2 x = 66*2/11
x = 6*2
x =12
<span>Susanne is 16 years old.</span>
b = Bob's age
s = Susanne's age
d = Dakota's age
Bob's age is 4 times greater than Susanne's age:
b = 4s
Dakota is three years younger than Susanne:
d = s - 3
The sum of Bob's, Susanne's, and Dakota's ages is 93:
b + s + d = 93
solve these equations:
b = 4s
d = s - 3
b + s + d = 93
and get:
b = 64 years
s = 16 years
(remember that s = Susanne)
d = 13 years
Answer:
slope m = (5+1)/(-6+8) = 6/2 =3
<em><u>The solution is (4, 4)</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

Make the right side of equation 0

<em><u>Solve by quadratic equation</u></em>

<em><u>Substitute x = 4 in eqn 2</u></em>
y = 2(4) - 4
y = 8 - 4
y = 4
Thus solution is (4, 4)