Make an equation.
Also, convert 3 weeks into days ⇒ 3 · 7 = 21 days.
x + 2x + 4x = 21
x is Jared.
2x is Max (because half of 4 is 2).
4x is Wesley.
Now solve the equation.
7x = 21
x = 3
Jared = x
Max = 2x
Wesley = 4x
Jared = 3 days
Max = 2(3) = 6 days
Wesley = 4(3) = 12 days
Option 3:
m∠ABC = 66°
Solution:
Given
and ABH is a transversal line.
m∠FAB = 48° and m∠ECB = 18°
m∠ECB = m∠HCB = 18°
<u>Property of parallel lines:
</u>
<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>
m∠FAB = m∠BHC
48° = m∠BHC
m∠BHC = 48°
<u>Exterior angle of a triangle theorem:
</u>
<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
m∠ABC = m∠BHC + m∠HCB
m∠ABC = 48° + 18°
m∠ABC = 66°
Option 3 is the correct answer.