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Trava [24]
3 years ago
8

A landscaping company placed two orders with a nursery. The fist order was for 13 bushes and four trees, and totaled $487. The s

econd order was for six bushes and two trees, and totaled $232. The bills do not list the per-item price. What were the coast of one bush and tree?
Mathematics
1 answer:
Setler [38]3 years ago
4 0
About $58. that is if they are the same price.
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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.
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AB = AU + UB = 20x + 108 + 273 = 20x + 381

\cfrac{AU}{AB} =\cfrac{UV}{BC}    \\  \\  \cfrac{20x+108}{20x+381} =\cfrac{444}{703}   \\  \\ 703(20x+108)=444(20x+381)\\\\14060x+75924=8880x+169164 \\  \\ 14060x-8880x = 169164 - 75924 \\  \\ 5180x = 93240 \\  \\ x=93240/5180 \\  \\ x=18
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The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

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Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ1

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