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quester [9]
3 years ago
15

PLEASE HELP!

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

CD=14

DE=21

Step-by-step explanation:

ΔCDE is similar to ΔFNE (∠E≅∠E, ∠NFE≅∠DCE) by AA similarity

Using Thales' Intercept Theorem Corollary, you know that:

EN/ED=EF/EC=NF/CD=12/20

Let DN be 8x and NE be 12x

Let NF be 12y and CD be 20y

Then you have a system of equations:

20x+20y+20=55

8x=12y

By solving them, you get y=0.7 and x=1.05⇒

DE=21 and CD=14

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What is the value of r in the equation -3(4r - 8)=-36
Marianna [84]

Answer:

r=5

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    -3*(4*r-8)-(-36)=0  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  4r - 8  =   4 • (r - 2)  

Equation at the end of step  2  :

 (0 -  12 • (r - 2)) -  -36  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  60 - 12r  =   -12 • (r - 5)  

Equation at the end of step  4  :

 -12 • (r - 5)  = 0  

Step  5  :

Equations which are never true :

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    r-5 = 0  

Add  5  to both sides of the equation :  

                     r = 5  

One solution was found :

                  r = 5


brainliest pllzz thx god bless

3 0
3 years ago
Read 2 more answers
17. Add - 16 + (-27)
Akimi4 [234]

just add the whole numbers and add negative infront          -16+-27= -43

4 0
3 years ago
13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two
Ghella [55]

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in

3 0
3 years ago
Faind the value of 9z-2 when z=3
allsm [11]

Answer: 25

9(3)-2

9(3)=27

27-2=25

7 0
2 years ago
What does 351 = (y × 8) + 7 equal
bogdanovich [222]

Simplify brackets

351 = y * 8 + 7

Regroup terms

351 = 8y + 7

Subtract 7 from both sides

351 - 7 = 8y

Simplify 351 - 7 to 344

344 = 8y

Divide both sides by 8

344/8 = y

Simplify 344/8 to 43

43 = y

Switch sides

<u>y = 43</u>

6 0
3 years ago
Read 3 more answers
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