1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
7

ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

∴ <u>CF = 18 (answer)</u>

<u></u>

You might be interested in
What is the value of x?<br> A. 3<br> B. 9<br> C. 15<br> D. 30
ra1l [238]

Answer:

<em>C. 15</em>

Step-by-step explanation:

Assuming that these segments formed from each parallel line are proportional, x/5 = x-6/3.

Now cross multiply by multiplying each denominator by the opposite numerator, this is so the denominators or bottom numbers of each fraction will cancel.

x/5 = x–6/3 → (3)(x/5) = (3)(x–6/3) → 3x/5 = x–6 →

(5)(3x/5) = (5)(x–6) → 3x = 5(x–6) → 3x = 5x – 30.

The last step is to do the basic algebra to find x:

3x = 5x – 30

–5x –5x

[5x will cancel when you subtract both sides by 5x]

-2x = -30

(-1) (-1)

[2 negatives make a positive when -1 is multiplied by an expression with a negative coefficient]

2x = 30

÷2 ÷2

[divide both sides by 2 to simplify 2x to x]

x = 15

_____

You can also check that both sides are proportional because

5 → x

x = 15

5 → 15

3 → x – 6

x = 15

3 → 9

5 × <u>3</u> = 15

3 × <u>3</u> = 9

7 0
3 years ago
I really need help with this
postnew [5]

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

7 0
3 years ago
What is 10/13 + 8/13 ?
ludmilkaskok [199]
18/13 or in simplified form, 1 and 5/13.
4 0
4 years ago
Read 2 more answers
What is a 3 sided polygon with at least two sides the same length??
timama [110]

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

4 0
3 years ago
Read 2 more answers
IM TAKING A TEST HELP
nignag [31]
What’s the question???...
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the reason for each step in the solution of the equation?
    9·2 answers
  • How do you use a number line to solve 58+19
    10·1 answer
  • What does pi mean? I foro=got..
    8·1 answer
  • A sign at the store shows that nine shirts cost $72. Another sign shows that four pairs of pants cost $172. If each pair of pant
    12·1 answer
  • Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.A y = −3x − 13 ,B y = −3x + 1
    14·1 answer
  • On Monday it was 70 degrees. On Tuesday it dropped to 45 degrees. What was the percent of change?
    11·2 answers
  • If x varies inversely as v, and x = 35 when v = 3, find x when v = 15
    10·1 answer
  • If you rotate a equilateral triangle by a side, what is the name of the resulting 3d shape
    14·1 answer
  • Find the area of the trapezoid HELP PLEASE
    5·1 answer
  • Factor the expression.<br> 12x+10
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!