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trasher [3.6K]
3 years ago
12

PLEASE HELP ASAP FIND THE LENGTH

Mathematics
1 answer:
Bond [772]3 years ago
5 0
Triangle ABC:
<ABC=90°
<ACB=y

Triangle CDE:
<CDE=90°
<DCE=y

The two triangles have two congruent angles, then they are similars, and theirs sides must be proportionals:

Adjacent angle to y / Hypotenuse

Triangle CDE       Triangle ABC
CD/CE             =       BC/AC

Replacing the values:
x/7=(20-x)/21

Solving for x. Cross multiplication:
(21)(x)=(7)(20-x)
21x=140-7x
21x+7x=140-7x+7x
28x=140
28x/28=140/28
x=5

Length of CD = x = 5

Answer: The length of CD is 5

Answer: 5  
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Namd the terms in the expression <br><br>3n + 4p + 2 <br>​
Jobisdone [24]
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1.______+ 0.14 +0.23 = 0.9<br>2.______-0.0369=0.1246​
butalik [34]

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______ = 0.1246 + 0.0369 = 0.1615

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