we know that
area larger triangle (DEF)=[scale factor]²*area smaller triangle (ABC)
solve for scale factor
scale factor=√[area larger triangle/area smaller triangle]
scale factor=√[144/100]------> scale factor=1.2
therefore
measure EF=scale factor *measure BC
solve for measure BC
measure BC=measure EF/scale factor-------> 15/1.2------> 12.5 cm
the answer is
measure BC is 12.5 cm
Answer:
y = (-4/3)x + 4
Step-by-step explanation:
Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.
Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3
So, at this point, y = (-4/3)x + b.
Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.
Thus, we plug in these values into the equation y = (-4/3)x + b, to get
0 = (-4/3)(3) + b
0 = -4 + b, so that
b = 4.
Hence, the answer is:
y = (-4/3)x + 4
