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marta [7]
3 years ago
5

Use exterior angle measures to solve for h

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

h = 125

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

h = 63 + 62 = 125

You might be interested in
The sum of three consecutive even numbers is one hundred sixty-two. What is the smallest of the three numbers?
zepelin [54]
Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:

x + y + z = 168

(y-2) + y + (y+2) = 168.

3y = 168

y = 56

therefore the smallest number (x) = 54.
436 viewsView upvotes

1




Related Questions (More Answers Below)
3 0
3 years ago
Read 2 more answers
Use prime factorization to reduce each fraction 1. 22/165 2. 35/210
yKpoI14uk [10]

Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.

The prime factorization of the number 22 is:

22=2\times11

Similarly, for 165, 35 and 210 we have

\begin{gathered} 165=3\times5\times11 \\ 35=5\times7 \\ 210=2\times3\times5\times7 \end{gathered}

Then, we can solve the given questions.

Question 1.

\frac{22}{165}=\frac{2\times11}{3\times5\times11}

so we can cancel out the number 11 and get

\frac{22}{165}=\frac{2}{3\times5}=\frac{2}{15}

Then, the answer is

\frac{2}{15}

Question 2.

\frac{35}{210}=\frac{5\times7}{2\times3\times5\times7}

and we can cancel out the number 5 and 7, then we obtain

\frac{35}{210}=\frac{1}{2\times3}

then, the answer is

\frac{1}{6}

5 0
1 year ago
Translate the verbal expression into an algebraic expression
Mrac [35]

Answer:

4x+6

Step-by-step explanation:

The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!

7 0
3 years ago
Select the correct answer from the drop-down menu
oee [108]

Answer:

r = 55.2 cm

Step-by-step explanation:

the arc length is calculated as

arc = circumference × fraction of circle

     = 2πr × \frac{\frac{23}{20}\pi  }{2\pi } ( r is the radius )

given arc = 63.48π , then

2πr × \frac{\frac{23}{20}\pi  }{2\pi } = 63.48π ( cancel 2π on numerator/ denominator )

r × \frac{23}{20} π = 63.48π ( divide both sides by π )

\frac{23r}{20} = 63.48 ( multiply both sides by 20 to clear the fraction )

23r = 1269.6 ( divide both sides by 23 )

r = 55.2 cm

7 0
3 years ago
William decided to deposit his money in a basic savings account instead of a
aleksley [76]
Mutual fund?  Not completely sure, maybe you are missing part of the question.

4 0
3 years ago
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