Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 3, 4, blank. Triangle 2 has side lengths 9, 12, blank.
a.
StartFraction 3 Over 4 EndFraction = StartFraction 9 Over 12 EndFraction = StartFraction 3 Over 4 EndFraction
b.
StartFraction 3 Over 9 EndFraction = StartFraction 4 Over 12 EndFraction = StartFraction 1 Over 3 EndFraction
c.
StartFraction 3 Over 12 EndFraction = StartFraction 4 Over 9 EndFraction = StartFraction 1 Over 4 EndFraction
d.
StartFraction 4 Over 3 EndFraction = StartFraction 12 Over 9 EndFraction = StartFraction 4 Over 3 EndFraction

answer: the answer is 127 degrees

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

they used 313 gallons of paint