We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so

solve for x


step 2
Find the measure of an exterior angle
2x
substitute the value of x

step 3
Find the measure of an interior angle
4x
substitute the value of x

In this problem the regular polygon is a hexagon
Answer:

Step-by-step explanation:
Step 1. Calculate the number of capsules
Marilyn takes 2 capsules per day

Step 2. Convert capsules to milligrams
There are 20 mg in each capsule.
