Answer:
A = $56,740
Step-by-step explanation:
Use the Compound Amount formula A = P(1 + r)^t. Substitute 0.05 for r and $40,000 for P:
A = $40,000(1 + 0.05)^6
A = $56,740.26, or, rounded off to the nearest dollar,
A = $56,740
Given:


To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B

Subtract 24° on both sides.

Subtract 6x from both sides.

Divide by 4 on both sides.

The value of x is 12°.



The measure of ∠A is 144°.
Answer:
<em>x = 5</em>
Step-by-step explanation:
The figure shows two pairs of opposite sides parallel, so quadrilateral KLMN is a parallelogram. Angles N and L are opposite angles in a parallelogram, so their measures are equal.
m<N = m<L
5x = x + 20
4x = 20
x = 5