All categories

2 years ago

. Find the value of x for which ABCD must be a parallelogram.

Mathematics

1 answer:

Alona [7]2 years ago

4 0

The value of x that would make ABCD a parallelogram is x = 5

<h3>How to find the interior angle of a parallelograms?</h3>

A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.

Opposite sides of a parallelogram are congruent and parallel

Therefore,

5x - 3 = 14x - 48

subtract 5x from both sides

5x - 5x - 3 = 14x - 5x - 48

-3 = 9x - 48

add 48 to both sides

-3 + 48 = 9x - 48 + 48

45 = 9x

x = 45 / 9

x = 5

Therefore, the value of x that would make ABCD a parallelogram is x = 5

learn more on parallelograms here: brainly.com/question/9370590

#SPJ1

You might be interested in

A culture of bacteria obeys the law of uninhibited growth. if 500 bacteria are present initially, and there are 800 after 1 hour

lesantik [10]

Since this culture of bacteria obeys the law of uninhibited growth. Given that 500 bacteria are present initially, and there are 800 after 1 hour, a growth rate of 0.470003629246 (k value) has been calculated. <span>5243 </span>will be present after 5 hours.

8 0

4 years ago

Read 2 more answers

PLEASE HELP I WILL MARK AS BRAINLIEST!!! HELP PLEASE!!!!!

Natasha2012 [34]

Answer:

The answer would be x=7

4 0

3 years ago

A Square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches.The area of the result

LekaFEV [45]

Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.

The area of this rectangle is (s+9)(s-2) = 60 in^2.

This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:

s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.

4 0

3 years ago

Click to select the figure in the image that would portray the rotation of the given pre image and the rotation arrow. The first

sashaice [31]

Answer:

its a

Step-by-step explanation:

7 0

3 years ago

Find x.<br> 8x + 11<br> 12x - 1

ELEN [110]

Answer:

x = 3

Step-by-step explanation:

If T is the midpoint, that means segments ST and TU are congruent.

Step 1: Set up expression

8x + 11 = 12x - 1

Step 2: Solve

11 = 4x - 1

12 = 4x

x = 3

4 0

3 years ago