3 years ago

In the construction of a segment congruent to a given segment shown, what is CD?

Mathematics

1 answer:

pogonyaev3 years ago

4 0

If segments AB and CD are congruent, then they have equal lengths:

5x-2=2x+7.

Solve this equation.

1. Separate terms with x and without x in different sides:

5x-2x=7+2,

3x=9.

2. Divide by 3:

x=3.

Then CD=2x+7=2·3+7=6+7=13.

Answer: correct choice is B.

You might be interested in

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

mariarad [96]

Answer:

$4x + 42 = 3$

Step-by-step explanation:

Given:

$\frac{2}{3}x + 7 = \frac{1}{2}$

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

$2 = 2,4,6,8,10,..$

$3 = 3,6,9,12..$

So, 6 is the least common multiple.

Multiply both sides by 6

$6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6$

$6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6$

$\frac{12}{3}x + 42 = \frac{6}{2}$

$4x + 42 = 3$

<em>Hence, an equivalent expression.</em>

3 0

2 years ago

* This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *

Alex

Answer:

thank you so much!!!!!!!!!

5 0

3 years ago

PLS HELP WILL MARK BRAINLIEST On a piece of paper, draw a box plot to represent the data. Then determine

sineoko [7]

D is correct. The median is 28, Q1 is 22, Q3 is 38

8 0

2 years ago

What is indicated by arrowheads on a line

Molodets [167]

Arrowheads indicate that the line will continue traveling on a number line infinitely. In other words the line never ends.

7 0

3 years ago

Read 2 more answers

Find measure jk <br> Answers are 52, 128, 154 & 180

Mamont248 [21]

Answer:

b. 128°

Step-by-step explanation:

arc LJ = 2 (26) = 52°

arc KL = 180° (half circle)

arc JK = 360° - (arc LJ + arc KL)

arc JK = 360° - 232°

arc JK = 128°

Answer

b. 128°

8 0

3 years ago