Since A and B are the midpoints of ML and NP, we can say that AB is parallel to MN and LP. In order to find ∠PQN, we can work with the triangles PQB and NQB. According to SAS (Side-Angle-Side) principle, these triangles are congruent. BQ is a common side for these triangles and NB=BP and the angle between those sides is 90°, i.e, ∠NBQ=∠PBQ=90°. After finding that these triangles are equal, we can say that ∠BNQ is 45°. From here, we easily find <span>∠PQN. It is 180 - (</span>∠QNP + ∠NPQ) = 180 - 90 = 90°
Answer:
1
Step-by-step explanation:
Answer:
Brady will have earned $75 in interest.
Step-by-step explanation:
The interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the number of years.
Here, i = $600(0.025)(5 yr) = $75.
Brady will have earned $75 in interest.
<span>w^2 + 18w + 77 = 0
breaking the middle term
</span><span>w^2 + 11w + 7w + 77 = 0
making pairs,
</span>(w^2 + 11w) + (7w<span> + 77) = 0
</span>w(w + 11) + 7(w + 11) = 0
(w+11)(w+7)=0
Hence,
the best answer is :
<span>C. (w + 7)(w + 11) </span>