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ABCD is a rectangle. If diagonal AC = 2x+6 and diagonal BD= 10, what is the value x?
A. 1
B. 2
C. 3
D. 4


Sagot :

Answer:

B. 2

See the attached photo for an explanation.

View image ALEXINA

Answer:

The correct answer is B. 2

Step-by-step explanation:

Given:

AC = 2x + 6

BD = 10

Solution:

We know that rectangle has 2 pairs of equal sides

So,

BD = AC

Subtract both sides with 6

10 - 6 = 2x + 6 - 6

= 4 = 2x

Then, divide both sides with 2

[tex]\frac{4}{2}= \frac{2x}{2}[/tex]

2 = x

Answer:

x = 2