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nekit [7.7K]
3 years ago
15

Given the following diagram, find the missing measure. G

Mathematics
1 answer:
jonny [76]3 years ago
6 0

The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°

Given m∠P = 40°

We know that : Sum of Angles in a Triangle = 180°

⇒ m∠P + m∠M  + m∠O = 180°

⇒ 40° + 90° + m∠O = 180°

⇒ 130° + m∠O = 180°

⇒ m∠O = 180° - 130°

⇒ m∠O = 50°

We can notice that m∠O and m∠1 form a Linear Pair (180°)

⇒ m∠O + m∠1 = 180°

⇒ 50° + m∠1 = 180°

⇒ m∠1 = 180° - 50°

⇒ m∠1 = 130°

Last Option is the Answer

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4 0
3 years ago
Two teachers purchase supplies for their classrooms.
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Answer:

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Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

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Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

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7 0
2 years ago
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