All categories

3 years ago

In the parallelogram below, AB=2x+8 and CD=5x-1. What is the length of AB?

Mathematics

2 answers:

pshichka [43]3 years ago

7 0

Answer:

AB = CD

BC = DA

Step-by-step explanation:

Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.

sp2606 [1]3 years ago

4 0

Answer:

AB = 14

Step-by-step explanation:

Lines AB and CD are opposite each other and as the shape is a parallelogram, they are of equal length:

AB = CD

2x + 8 = 5x - 1

Add 1 to both sides to isolate the 5x:

2x + 8 + 1 = 5x - 1 + 1

2x + 9 = 5x

Subtract 2x from both sides to isolate the 9:

2x + 9 - 2x = 5x - 2x

9 = 3x

Divide both sides by 3:

9 ÷ 3 = 3x ÷ 3

x = 3

As AB = 2x + 8, plug the known variable x in:

2x + 8

2(3) + 8

6 + 8

= 14

Hope this helps!

You might be interested in

A sociologist surveyed 300 people about their level of anxiety on a scale of 1 to 100. Unfortunately, the person inputting the d

tiny-mole [99]

Answer:

sampling error i think

Step-by-step explanation:

4 0

3 years ago

A car traveled a distance of 180 miles in 4 hours. Traveling at the same speed, what distance would this car travel in 9 hours?

defon

405 miles is the answer.

3 0

4 years ago

Read 2 more answers

A cell phone company charges a monthly fee plus $0.25 for each text message. The monthly fee is $30.00 and you owe $59.50. Find

ikadub [295]

Answer: The equation would be 59.50 = 30 + .25x. You would solve by subtracting 30 from 59.50, and you get 29.5. Then dividing .25 by that, and you get 118. So you sent 118 texts. i think this is the answer good luck :D

5 0

4 years ago

Consider random samples of size 50 from a population with proportion 0.15

WITCHER [35]

Answer:

a) Mean = 0.75

b) Standard error = 0.051

c) Yes

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample proportion , p = 0.15

a) Mean

$\mu = np = 50(0.15) = 7.5$

b) Standard error

$S.E = \sqrt{\dfrac{p(1-p)}{n}} = \sqrt{\dfrac{0.15(1-0.15)}{50}} = 0.051$

c) Application of central limit theorem

Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.

6 0

4 years ago

What the opposite of 30 degrees North latitude

Taya2010 [7]

30 degrees south

Hope this helps

6 0

4 years ago

Read 2 more answers