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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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D

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The measure of the supplement of an angle is 60° less than four times the measure of the complement of the angle. Find the measu
LenaWriter [7]

Answer:

140° and 50°

Step-by-step explanation:

The supplement of the angle (180 - x)

The complement of the angle = (90 - x)

(180 -x) = 4(90-x) - 60

180 - x = 360 -4x - 60

180 -x  = 300 - 4x

180 - x + 4x = 300

 180 + 3x = 300

     3x = 120

      x = 40

   

The supplement (180 - x) =  180 - 40 = 140°

The complement (90 - x) =  90 - 40 = 50°

4 0
3 years ago
there are 5 green marbles, 4 red marbles, and 3 yellow marbles in a bag. John selects a marble at random, keeps it, and then sel
Daniel [21]

Answer:

1/22

Step-by-step explanation:

  1. 12 total marbles
  2. 5/12 - 1/1 = 4/11
  3. 4/11 - 1/1 = 3/10
  4. 5/12 × 4/11 × 3/10 = 1/22
3 0
2 years ago
Subtract: (3x^2 − 8x + 3) − (−5x^2 + 4x − 5)
koban [17]

Answer:

A

Step-by-step explanation:

Add 3x^2 and 5x^2 now it = 8x^2

Add -8x and -4x = -12x

look at your answer choices the only one that has 8x^2-12x is A

6 0
3 years ago
Read 2 more answers
80% of x is equal to 100.<br><br> Find x.
xeze [42]

The number is 125 and the equation is 0.8x = 100

Step-by-step explanation:

80% of x is equal to 100.

Write an equation that shows the relationship of 80%, x, and 100

80% = 0.8

0.8x = 100

x = 100/0.8

x = 125

The number is 125 and the equation is 0.8x = 100

5 0
3 years ago
Read 2 more answers
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