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
Anastasy [175]
3 years ago
10

If dh = 3x -3 and fh = x+7, find the value of x for which defg must be a parallelogram.

Mathematics
2 answers:
rosijanka [135]3 years ago
4 0

Answer:

Option c is correct

x = 5

Step-by-step explanation:

Properties of parallelogram:

  • Opposites sides are congruent.
  • Opposites angle are congruent
  • Diagonal of parallelogram bisect each other.

As per the statement:

In the given DEFG parallelogram,

DH = 3x-3 units

FH=x+7 units

by properties of parallelogram we have;

DH = FH

3x-3 = x+7

Subtract x from both sides we have;

2x-3 =7

Add 3 to both sides we have;

2x=10

Divide both sides by 2 we have;

x = 5

Therefore, the value of x for which DEFG must be a parallelogram is, 5

Ugo [173]3 years ago
3 0
<span>parallelogram
DH = FH
</span><span>3x -3 = x + 7
</span>2x = 10
  x = 5

Answer
<span>c. 5</span>
You might be interested in
What is the missing value in the table below?
Lubov Fominskaja [6]

Answer:

11

Step-by-step explanation:

7 0
3 years ago
1.) Solve 2x^2-12x+20=0 using the quadratic solution set? What is the solution set?
marshall27 [118]
Please, share just ONE problem at a time.  Thanks.

<span>Solve 2x^2-12x+20=0:
Simplify this by dividing each term by 2:  x^2 - 6x + 10 = 0

Identify a, b and c:  a=1, b=-6 and c=10.  Then b^2=36.

Write out the solutions using the quadratic formula:

        6 plus or minus sqrt(36-40)
x = ---------------------------------------
                            2

sqrt(36-40) = sqrt(-4) = plus or minus i2

Then:
 
         6 plus or minus i2
x = --------------------------- (answer)
                  2</span>
4 0
3 years ago
Determine the quotient, q(x), and remainder, r(x) when
Fed [463]
ANSWER

Quotient:

q(x) = {x}^{2} - 4x + 7\\

Remainder:

r(x) = 11x - 29

EXPLANATION

The given functions are

f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6

and

g(x) = 4 {x}^{2} + 4x + 5

We want to find the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = {x}^{2} - 4x + 7

The remainder is

r(x) = 11x - 29

5 0
3 years ago
Help pleaseee guysss
Anvisha [2.4K]

Answer:

8

2

0

2

8

Step-by-step explanation:

f(x)=2x^2

f(x)=y

y=2x^2

y=2(-2)^2

y=2(4)

y=8

y=2x^2

y=2(-1)^2

Y=2

Y=2X^2

y=2(0)^2

y=0

y=2x^2

y=2(1)^2

y=2

y=2x^2

y=2(2)^2

y=8

DON'T FORGET BODMAS

6 0
3 years ago
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Oksi-84 [34.3K]

Answer:

9\sqrt{3} cm^2

Step-by-step explanation:

area of an equilateral triangle = \frac{s^{2} \sqrt{3} }{4} (s = length of the side)

area = \frac{6^{2}\sqrt{3}  }{4}

area = \frac{36\sqrt{3} }{4}

area = 9\sqrt{3} cm^2

4 0
3 years ago
Other questions:
  • Area of a triangle tree 4.2 inches high 6.5 inches wide?
    14·1 answer
  • PLEASE HELP!!! ASAP!!!!!
    8·1 answer
  • How many cg/m² is 0.0044 mg/mm²?
    9·1 answer
  • What is 66 2/3 % of 39
    11·1 answer
  • Factor this polynomial expression.
    6·1 answer
  • Help plsssssssss. find X
    10·1 answer
  • a student throws a baseball with a speed of 8m/s and a kenetic energy of 25J.what is the mass of the baseball
    12·1 answer
  • The probability distribution for a
    8·1 answer
  • Can someone please help me answer this question asap thank you
    5·1 answer
  • I really need help please!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!