Answer:
the measure of AB equals the measure of BC
2x+1=3x-4
4+1=3x-2x
5=x
BC=3x-4=3*5-4=15-4=11
AB=2x+1=2*5+1=10+1=11
AC=AB+BC=11+11=22
Step-by-step explanation:
Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
X axis : -t1 cos 60 + t2 cos 60 = 0
t2 cos 60 = t1 cos 60 ; t2 = t1
Y axis : t1 sin 60 + t2 sin 60 - 150 = 0
since t2 = t1
2t1 sin 60 = 150
t1 ( sqrt(3)/2) = 150/2
t1 = 50 [sqrt(3)]
t2 = 50 [sqrt(3)]
t3 = 150 N
hope this helps
The distance in kilometers in scientific notation 
<h3>Scale factors</h3>
Scale factors are values or constants multiplied with a variable
If Alvin and Simon raced a distance of
kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:
- Distance travelled =

- Distance travelled =

Hence the distance in kilometers in scientific notation 
Learn more on distance here: brainly.com/question/23848540
21/30 as a percent would be 70%.