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bixtya [17]
3 years ago
14

What is the slope of 10 in 11 roof?

Mathematics
1 answer:
Leokris [45]3 years ago
8 0
10/11. Ten over eleven slopeeee
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Find the value of X AND Y: Show your work.
Lesechka [4]

<u>We are given:                                                                                                         </u>

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

<u>Solving for x:                                                                                                           </u>

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

<u>Solving for y:</u><u>_______________________________________________   </u>

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11

6 0
3 years ago
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