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Solve for x (5x +40) A. AB. BC, AC B. BC. AC. AB C. AC. AB. BC (7x+8) (10x) с A D. BC. AB. AC Which of the following lists the sides in order from shortest to longest?​

Solve For X 5x 40 A AB BC AC B BC AC AB C AC AB BC 7x8 10x С A D BC AB AC Which Of The Following Lists The Sides In Order From Shortest To Longest class=

Sagot :

Answer:

D

Step-by-step explanation:

The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.

First find the measure of the angles in the triangle.

The sum of the 3 angles = 180° then

5x + 40 + 10x + 7x + 8 = 180

22x + 48 = 180 ( subtract 48 from both sides )

22x = 132 ( divide both sides by 22 )

x = 6

Then

∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°

∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°

∠ C = 10x = 10(6) = 60°

The shortest side is opposite ∠ A , that is BC

The longest side is opposite ∠ B , that is AC

The sides in order from shortest to longest are

BC, AB, AC → D

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