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Mamont248 [21]
3 years ago
9

4x+20 = 20 + 4x solve for x

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

x = 16

Step-by-step explanation:

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that mod
elena-14-01-66 [18.8K]

Answer:

16,000

Step-by-step explanation:

16,000 - answer

7 0
2 years ago
If 35+(16x-8)+(2x+9)=180 what does x equal
Mnenie [13.5K]

Answer:

x = 8

Step-by-step explanation:

combine like terms:

18x + 36 = 180

18x = 180-36

18x = 144

x = 144/18

x = 8

3 0
3 years ago
What is the solution for 2y=x+2<br> x-3y=-5
Mars2501 [29]

Answer:

x = 4

y = 3

Step-by-step explanation:

<u>Given </u><u>equations </u><u>:</u><u>-</u>

  • 2y = x + 2
  • x - 3y = -5

<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>

  • x - 3y = -5
  • -3y = -x - 5

<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>

  • -3y + 2y = 2 -5
  • -y = -3
  • y = 3

<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

  • x = 3y - 5
  • x = 3*3 - 5
  • x = 9 -5
  • X = 4
8 0
2 years ago
Read 2 more answers
What is 7^5 equal to
Alona [7]
The answer to 7^5 = 16807
5 0
2 years ago
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