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mel-nik [20]
3 years ago
7

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18          (ANSWER)</span>

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3 0
3 years ago
X-3y=1<br> -x+6y=-7<br><br> Solve the system using elimination
mr_godi [17]

Answer:

x=-5, y=-2. (-5, -2).

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8 0
4 years ago
A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos
Anastasy [175]
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.
=========================================
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.
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