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Ainat [17]
3 years ago
9

Given: angle 2 and angle 3 form a linear pair, angle 1 and angle 3 are vertical angles, and m angle 1, m angle 4, and m angle 5

form a straight angle. Prove: m angle 2 = m angle 4 + m angle 5
Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

Step-by-step explanation:

<1 + <2 = 180 degrees (straight angle)

<3 + <5 + <4 = 180 degrees (straight angle)

<1 = <3 (vertical angles)

<1+<2 = <3+<4+<5 (straight angles)

<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)

<2 = <4 + <5

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In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?
sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

5 0
3 years ago
A rectangular carpet is x+5 feet wide and 3x-2 feet long what is the area in square feet of the carpet in terms of x
siniylev [52]
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7 0
3 years ago
What is ​ 0.63¯¯¯¯ ​ expressed as a fraction in simplest form?
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5 0
3 years ago
Read 2 more answers
5. At Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12 were selected and of the 40 boys who tried o
kondaur [170]
For the girls:

12:30

Simplifying it, we get:

6: 15
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For the boys:

16:40

Simplifying it, we get:

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So yes, the ratios are both the same for boys and girls.
4 0
3 years ago
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