1) use distributive property
3x - 6 + 5x + 4
8x - 2
2) 4-2x - 14 - 3
-14 - 2x
Answer:
Step-by-step explanation:
The triangle is isosceles with side WX equal to side WY:
WX = WY
9x -11 = 7x -3
2x = 8 . . . . . add 11-7x
x = 4
Then the side measures are ...
WX = WY = 7(4) -3 = 28 -3 = 25
XY = 4(4) +1 = 16 +1 = 17
Answer:
d=54
Step-by-step explanation:
22 + 15 = d - 17
37=d-17
54=d
d=54
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
