Answer:
Answer is x= 15
Step-by-step explanation:
(3x+18)+(8x-3)=180
11x+15=180
11x=165
x=15
Answer:
11
Step-by-step explanation:
The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.
Answer:
34 square units
Step-by-step explanation:
The figure can be considered to be a trapezoid with a rectangle removed.
The area of the trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(10 +6)(5) = 40
The area of the rectangle is ...
A = LW
A = (3)(2) = 6
Then the area of the shaded portion of the figure is ...
shaded area = trapezoid area - rectangle area
= 40 - 6 = 34 . . . square units
Answer:
Answer options
A) the lines are parallel
B) the lines are perpendicular
C) the lines form angles at the intersection
D) the lines form right angles at the intersection
the answer is C
Step-by-step explanation:
I got it right on my test
Answer:
7.5 hours
Step-by-step explanation:
<u>1 method:</u>
Amber drove at an average speed of 55 mph.
Austin averaged 75 mph per hour.
The difference in speed is 20 mph, this means that each hour Austin drove 20 miles more.
Amber drove 110 miles in 2 hours, then Austin needs 110:2=5.5 hours to catch Amber, so in total after 5.5+2=7.5 hours Austin will catch up Amber.
<u>2 method:</u>
Let t hours be the time Amber was driving, then t-2 hours ia Austin's time.
Amber distance = 55t miles
Austin's distance = 75(t-2) miles
When Austin caught up with Amber, their distances are the same: