First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "t<span>he measure of an angle is seventeen times the measure of a complementary angle" is
</span>∴ <span>x = 17y
The sum of complementary angle is 90</span>°. It can be written as<span>
</span>∴ x + y = 90°
<span>
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90</span>°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°
Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°
The measure of each angle is 5° and 85°
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.
The length of the entire dash is 700 meters.
