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belka [17]
3 years ago
9

The ratio of the ages (in years) of two teachers is 8 : 9. The sum of their ages is 51. What is the age of each teacher?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf
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Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an <em>angle</em> is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

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9x + бу = 36<br> Help ASAP Thanks
dangina [55]

Answer:

x=2

y=3

Step-by-step explanation:

9x2= 18, 6x3=18. 18+18=36

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3 years ago
Amy has a total of 560 marbles, She has five times as many small marbles as medium marbles. The number of large marbles is two m
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7 0
4 years ago
There are 2820 cars in Farmington. The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size ca
oee [108]

Answer:

Number of full size cars = 900

Step-by-step explanation:

The ratio of medium size cars to compacts is 7 to 5 and the ratio of compacts to full-size cars is 8 to 9. Since compact cars are  there in both ratios , we need to  make the number in the ratio for compact cars to be the same.

\frac{medium}{compact} = \frac{7}{5}

Multiply by 8 on numerator and denominator

\frac{medium}{compact} = \frac{56}{40}

\frac{compact}{full size} = \frac{8}{9}

Multiply numerator and denominator by 5.

\frac{compact}{full size} = \frac{40}{45}

Ratio of medium, compact and full size are in ratio 56,40,45.

Total number of cars =2820.

(56 + 40 + 45)x = 2820

x = \frac{2820}{141}

x = 20

Number of full size cars = 20\times 45 =900

3 0
3 years ago
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