I need some help solving for x! Thanks :)

Given:

The figure of a rhombus.

To find:

The value of x.

Solution:

We know that, if two lines intersect each other, then the vertically opposite angles are equal.

From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.

Since and are vertically opposite angles, therefore

Hence, the value of x is 95°.

$7 + $0.20p = $5 + $0.30p

Step-by-step explanation:

UPS charges $7 for the first pound and $0.20 for each additional pound.

FedEx charges $5 for the first pound and $0.30 for each additional pound.

Let's take the number of  additional pounds that will make UPS and FedEx cost the same to be p.

$7 + $0.20p = $5 + $0.30p

$7 - $5 = $0.30p - $0.20p

$2 = $0.10p

p = = 20 additional pounds