Question

Please help me. I will give first person brainliest.

Answer 1

Question 3:

Since, EG = EF + FG

$64 = 2x-2+3x+1$

$64 = 5x -1$

$65 = 5x$

x = 13

So, EF = $2x-2$

= $(2 \times 13)-2 = 26-2=24$

So, EF = 24 units.

Question 4:

Since, $XY \cong YZ$

So, $XY = YZ$

$9x-7 = 3x+5$

$6x = 12$

So, x =2

Question 5:

Since, $XY \cong YZ$

By being congruent, the measures of the segments are equal.

So, $9x-7 = 3x+5$

$9x - 3x = 12$

$6x = 12$

So, x = 2

Now, XZ = $XY + YZ$

XY = 9x - 7 = $(9 \times 2) - 7 = 11$

YZ = 3x + 5 $= (3 \times 2) + 5 = 11$

XZ = XY + YZ = 11 + 11 = 22 units.

Question 6:

It is given that $m \angle ABC \cong m \angle DBE$

It means that the measures of these two angles are equal.

Since, measure of angle ABC is 35 degrees.

Therefore, the measure of angle  DBE is 35 degrees.