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Alexeev081 [22]
3 years ago
5

I need help finding the measures of the other angles.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

<7 and <10 are each 84 degrees

solniwko [45]3 years ago
5 0

We know that Sum of Angles in a Triangle = 180

⇒ Angle(4) + Angle(5) + Angle(7) = 180

⇒ 52 + 44 + Angle(7) = 180

⇒ 96 + Angle(7) = 180

⇒ Angle(7) = 180 - 96 = 84

We know that Vertically Opposite Angles are Equal

Angle(7) and Angle(10) are Equal

⇒ Angle(10) = 84

Also, Angle(8) and Angle(9) are Equal

Let us take Angle(8) = Angle(9) = P

As Angle(8) - Angle(9) - Angle(7) - Angle(10) form a Complete Angle, their Sum should be Equal to 360.

⇒ Angle(8) + Angle(9) + Angle(7) + Angle(10) = 360

⇒ P + P + 84 + 84 = 360

⇒ 2P + 168 = 360

⇒ 2P = 192

⇒ P = 96

We took Angle(8) = Angle(9) = P

⇒ Angle(8) = Angle(9) = 96

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Answer:

3:30PM

Step-by-step explanation:

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

Step 1

We add up the minutes it took her to do things

= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework

= 15 minutes + 45 minutes + 15 minutes

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Step 2

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This is calculated be subtracting 1 hour 15 minutes from 4:45 PM

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= 3:30PM

Therefore, Martha got home from school by 3:30 PM

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Rewrite the equation of a circle given below in standard form x² + 2x + y² + 22y - 10 = 0
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