The second expression uses the greatest common factor and the distributive property to rewrite the sum 60 + 24.
60, 24
60 = 2² × 3 × 5
24 = 2³ × 3
We take the highest common factors -
=> 2² × 3
=> 4 × 3
=> GCF: 12
Therefore, the correct factored expression would be 12(5 + 2), which matches the second expression. Hope this helped!
m∠P = 144°
Solution:
PQRS is a parallelogram.
m∠P = 12a°, m∠Q = (4a - 12)° and m∠S = 3a°
<em>In parallelogram, opposite angles are congruent.</em>
m∠Q = m∠S
4a° - 12° = 3a°
Add 12° on both sides.
4a° - 12° + 12° = 3a° + 12°
4a° = 3a° + 12°
Subtract 3a° on both sides.
4a° - 3a° = 3a° + 12° - 3a°
a° = 12°
<u>To find the measure of angle P:</u>
m∠P = 12a°
= 12(12°)
m∠P = 144°
Answer:
option B is correct answer
because it is similar by AA similarity -.theorum