Solve for w by simplifying both sides of the equation, then isolating the variable.
w=13
Answer:
y = 5
Step-by-step explanation:
<u>Equation:</u>
m<DGF = m<DGE + m<EGF
<u>Given:</u>
m<DGF = 12y - 5
m<DGE = 5y + 6
m<EGF = 24
<u />
<u>Work:</u>
m<DGF = m<DGE + m<EGF
12y - 5 = 5y + 6 + 24
12y - 5 = 5y + 30
12y - 5y = 30 + 5
7y = 35
y = 5
She has 3 children. One children is 17, the other is 19 and the other one is 23
Answer:
B) 10
Step-by-step explanation:
|5-15|
Do what is inside the absolute values signs
5-15
-10
|-10|
Absolute value means always positive so take the positive value of -10
10
Hey there! :)
Answer:
m∠A = 72°.
m<B = 108°.
Step-by-step explanation:
In a parallelogram, the opposite angles are congruent.
Therefore, we can set the two expressions equal to each other:
5y - 3 = 3y + 27
Add 3 to both sides:
5y = 3y + 30
Subtract 3y from both sides:
2y = 30
Divide both sides by 2:
y = 15
Substitute this value of y into an expression to solve for the measure of ∠A:
5(15) - 3 = 72°. m∠A = 72°.
In parallelograms, the neighboring angles are supplementary. Therefore:
m∠A + m∠B = 180°
72° + m∠B = 180°
m<B = 108°.
