1. You have that:
- The<span> lengths of the bases are (6x-1) units and 3 units.
- The midsegment has a length of (5x-3) units.
2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below:
Midsegment=Base1+Base2/2
As you can see, the midsegment is half the sum of the bases of the trapezoid.
3. When you substitute the values, you obtain:
(5x-3)=[(6x-1)+3]/2
4. Now, you can solve the problem by clearing the "x":
</span>
(5x-3)=[(6x-1)+3]/2
2(5x-3)=6x-1+3
10x-6=6x+2
10x-6x=2+6
4x=8
x=8/4
x=2
Triangle XWV is an equilateral triangle(every angle is 60). So both angle V's are vertical angles, which means the are the same(60). Y is 90. So once you have 60 and 90 in triangle YZV, you know the last angle(Z) is 30. But since angle Z is 30 and angle X is 60, they are complementary and not supplementary(which adds up to 180)
(6.50 * 7) + (4.90 * 6)
45.50 + 29.40 = 74.90
He will earn $74.90
Answer:
B = 2xy
Step-by-step explanation:
pretty sure this is it
First of all, I must assume that the correct cost for carpet is $4.25 per <em><u>square</u></em> foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.
Area of the room = (15-ft x 14-ft) = 210 square feet
Area of the closet = (4-ft x 8-ft) = 32 square feet
Total area = (210 + 32) = 242 square feet.
Total cost of carpet = (242 x $4.25) = <u>$1,028.50</u> plus pad and installation.
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You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's <em><u>awfully</u></em> expensive carpet.
I suspect the actual price is $4.25 per <em>square yard</em>. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)
If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.
The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.
$4.25 x 27 = <u>$114.75</u> plus pad and installation. That sounds cheap but better.
