Answer:
19
Step-by-step explanation:
if the triangles are similar then EG/BC = FG/BD
51/(x+4) = 57/(2x-7) cross multiply expressions
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides by 45
x = 13
BD = 2x -7 and 13×2 - 7 = 19
The inequality would be
0.75q ≥ 0.70(q+1)
q is defined as the number of questions he answers after the first one. We are told he gets 75% of those correct; 75%=75/100=0.75. This gives us 0.75q.
Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%. This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.
He has already answered 1 question and answers q more; this gives us a total of q+1. Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70. This gives us the expression 0.70(q+1).
Our total inequality would then be 0.75q ≥ 0.70(q+1)
117 miles in 2.25 hours
Divide both numbers by 2.25
52 miles per hour
The given points are (4,8) & (9,-4)
slope of a line = <u>Y2 - Y1</u>
X2 - X1
====> <u>(-4) - 8</u> = <u>-12</u>
9 - 4 5
