Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.
2 answers:
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Answer:
1.25 cm
Step-by-step explanation:
Draw a radius line from the center to one of the top corners. This forms a right triangle where the hypotenuse is r, the width is 1, and the height is 2−r. Using Pythagorean theorem:
(2−r)² + 1² = r²
4 − 4r + r² + 1 = r²
5 − 4r = 0
r = 5/4
r = 1.25
