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Thepotemich [5.8K]
2 years ago
13

In the diagram triangles ABE and ACD are similar.

Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

p = 7.2

q = 6.4

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional :

AC/BA = CD/BE

9/5 = p/4 cross multiply expressions

5p = 36 divide both sides by 5

p = 7.2

same goes for q

9/5 = (q+8)/8 cross multiply expressions

72 = 5(q+8) divide both sides by 5

14.4 = q+8 subtract 8 from both sides

6.4 = q

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Step-by-step explanation:

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6 0
3 years ago
Solve using elimination.<br> 3x − 5y = 18 <br> -10x + 5y = 10
olga55 [171]

3x - 5y = 18 over

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Add them because the 5y's have the right symbols for us to add

-7x = 28

Divide

x = -4

Now you can plug in -4 for x in one equation, I would use the first equation!

3(-4) - 5y = 18

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Add 12

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Divide

y = -6

Your solutions are going to be:

x = -4

y = -6

To check your work plug x and y into one equation:

3(-4) - 5(-6) = 18

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18 = 18

Since 18 does equal 18 you know that your solution's work!

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2 years ago
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Step-by-step explanation:

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