You have to isolate the (a) so you multiply the 2/3 by 3/2 and you have to do that to the right side. So -24 times 3/2 equals to -36. Therefore, a=-36.
I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation:
y = 30x
Here, x represent the number of hours and y represent the number of miles.
When x = 12 hours then
y = 30(12) = 360 miles
If draw the graph the equation y = 30x, it will be a linear equation.
(refer attached picture)
Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
mEFD= 90°
mEHF=130°
mHFG=55°
mG=75°
mE=15°
Step-by-step explanation:
mEFD: as you see on the other side of that mEFD there is a right angle. A right angle is =to 90°. An angle on the other side of it has to add up to the 90° angle to equal 180°. Therefore, it equals 90° because 180-90=90
mEHF: so mEHF (or c°) has an angle of 50° on the other side of it. angle c° plus 50° has to equal 180°. Therefore, c°=130 because 180-50=130
mHFG: This one is fairly simple. Since there is already a right angle (90°) when 35°is added to b°, you can figure this out by simple algebra. 90-35=55. The answer to mHFG (b°)= 55°
mG: Now that we know that b°=55° and we have the other angle of the triangle at 50, we just need to add all the angles to equal 180°. so we get 55+50+a°=180. This brings us to a°=180-105. So a°=75°.
mE: since we now know what °c equals (130°) we can solve the answer by equating 130+35+d°=180. we can move 165 on the other side to get d°=180-165. Therefore, d°=15°