Speed=distance/time
suppose the distance of the first day is d, and the time is t
distance of the second day: d+0.17d=1.17d
time of the second day: t+0.2t=1.2t
speed of the second day: 1.17d/1.2t=0.975(d/t)=(1-0.025)(d/t)
so the speed of the second day is 2.5% slower than the first day.
Answer:
31, 32, 33
Step-by-step explanation:
x + x + 1 +x + 2 = 96
3x + 3 = 96
-3 -3
3x = 93
/3 /3
x = 31
31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.
Answer:
Step-by-step explanation:
<u>Step 1: Add 4 to both sides
</u>
Answer:
<h3>
Answer: perpendicular slope is -2/3</h3>
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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
When a transversal cuts (or intersects) parallel lines several pairs of congruent and supplementary angles are formed.
