<h3>
Answer: x = 12</h3>
Explanation:
The two angles shown are vertical angles. This occurs whenever you have an X shape like this, and whenever the angles are opposite one another. Vertical angles are always congruent.
6x+7 = 8x-17
6x-8x = -17-7
-2x = -24
x = -24/(-2)
x = 12
The answer is 64 boys are in the soccer league.
X/160 = 40/100
X/160 * 100 = 40/100 * 100
5x/8 = 40
(8 * 5x)/8 = 40 * 8
5x = 320
5x/5 = 320/5
x = 64
Answer: The group wants to raise $1,200.
Step-by-step explanation:
We can use a proportion to solve.
part/whole = percent/100
If we insert the values:
276/x = 23/100
We can cross multiply.
276 x 100 = 27,600
27,600 / 23 = 1,200
$1,200 is the answer.
Answer:
Distance between Montpelier and Columbia is 1020
Step-by-step explanation:
51 mi/hr average:
d = 51 t
60 mi/hr average:
d t = 60*(t-3)
Substitute (1) into (2)
51 t = 60*(t-3)
51 t = 60 t + 180
9 t = 180
t = 20
d = 51 t
= 51 (20)
= 1020
let see distance is 1020 lets check
51 t = 60 * (t-3)
51 (20)= 60* (20-3)
1020 = 60*17
1020 = 1020
