Answer:
18
Step-by-step explanation:
7 - 5 = 2
triangle = bh/2
triangle = 2(3) / 2
triangle = 3
rect = bh
rect = 3 x 5
rect = 15
trapezoid = 15 + 3
trapezoid = 18
A diagram of parallelogram MNOP is attached below
We have side MN || side OP and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
<span>∠M ≅ ∠O; ∠N ≅ ∠P
</span>
One hundred fifty three thousand
Answer:
−27u + 8v
Explanation:
−3(4u − v) − 5( − v + 3u)
[ Distribute ]
= (−3)(4u) + (−3)(−v) + (−5)(−v) + (−5)(3u)
= −12u + 3v + 5v + −15u
[ Combine Like Terms ]
= −12u + 3v + 5v + −15u
= (−12u + −15u) + (3v + 5v)
= −27u + 8v
- PNW