Answer: x is 9° , y is 21°. The measure of angle ABE is 48°.
Step-by-step explanation:
First we will solve for x.
The variable x appears in the angle 8x + 18 and that angle is a right angle.
Right angles have the measure of 90 degrees so we will set the angle equal 90 and solve for x.
8x + 18 = 90 Subtract 18 from both sides
- 18 -18
8x = 72 divide both sides by 8
x = 9
y is also on the right side and the combination of both angles has to also equal 90 degrees because they form a right angle.
Since we already know x is 9 we will input it into the left side for x and solve for y.
y + 3(9) + 2y = 90
3y + 27= 90
-27 -27
3y = 63
y = 21
Now we need to find the measure of angle ABE.
ABE is represented by y + 3x so since we know the value of y and x we will input it into the expression and solve for the angle.
21 + 3(9) = m∠ABE
21 + 27= m∠ABE
48 = m∠ABE
This means the measure of angle ABE is 48°
step 2 i believe is the answer
It would take him 7.2hours
Show work
262/5=52.4
52.4•7.2=377.28
Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
To solve the system of equations, we first need to isolate one of the variables in one of the equations. For this example, I'll isolate x from the second equation, because it will be much easier and I'll end up with simpler fractions.
2x + y = -3 Given
2x = -y - 3 Subtract y from both sides
x = -1/2y - 3/2
Now, we need to substitute x in the other equation for -1/2y - 3/2 so that we can find y.
3(-1/2y - 3/2) - 7y = 4 Substitute
-3/2y - 9/2 - 7y = 4 Multiply
-17/2y - 9/2 = 4 Collect like terms (wow, this is turning out to be a tough one, isn't it?)
-17/2y = 17/2
y = -1
Wow, such complicated work for such a simple answer. Anyway, now we can plug that into our answer for x to get x's value.
<span>x = -1/2y - 3/2 Given
</span>x = -1/2(-1) - 3/2 Substitute
x = 1/2 - 3/2 Multiply
x = -1 Subtract
Therefore, the solution for the system of equations is (-1,-1). It can be a bit intimidating with all the fractions, but the question decided to be nice and give us simple answers.
Hope this helps!
