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nalin [4]
3 years ago
12

Plz heeeeeeeellllllllllllllllpppppppp and explain.

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

We know that MN = MQ, which makes triangle MNQ an isosceles triangle. By definition, then, ∠MQR = ∠MNR and the height from the vertex of the triangle (point M) to the base (QN) is perpendicular and bisects ∠QMN. In other words, ∠QMR = ∠NMR = 36°.

Now, since QMR is a triangle, all three angles add up to 180, so we can find the angle MQR:

∠MQR = 180 - 36 - 90 = 54°

Now, since PQ = NO, we can say that PQNO is an isosceles trapezoid, so by definition, ∠PQN = ∠ONQ. And, since ∠MQR = ∠MNR = 54° and ∠MNO = 125, we can find ∠PQN = ∠ONQ:

∠PQN = ∠ONQ = 125 - 54 = 71°

Since PQRS is a quadrilateral, by definition, all angles will add up to 360. So, we have:

∠PQR + ∠QRS + ∠RSP + ∠SPQ = 360

71 + 90 + 90 + ∠SPQ = 360

∠SPQ = 109

Since ∠SPQ is the same angle as ∠OPQ, the answer is A.

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Anastasy [175]
\bf \begin{array}{lccclll}
&amount&price&priced\ amount\\
&-----&-----&--------\\
\textit{9 bucks/lb}&x&9&9x\\
\textit{3 bucks/lb}&y&3&3y\\
-----&-----&-----&-------\\
mixture&240&5&1200
\end{array}
\\\\\\
\begin{cases}
x+y=240\implies \boxed{y}=240-x\\
9x+3y=1200\\
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solve for "x".

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4 0
3 years ago
HELP PLS !!!!<br> A square with side of k cm has perimeter of 36 cm. find the value of k.
katrin [286]
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4 0
2 years ago
Joe helped his soccer coach pass out equipment to the 13 players on the team. He gave each player 4 soccer balls and 3 cones. Wh
vekshin1
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2 years ago
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erastova [34]

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7 0
2 years ago
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Leona [35]

Answer:

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Step-by-step explanation:

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Significance level = 1 - C = 1 - 0.95 = 0.05

Conclusion:

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