Mathematics
29.09.2021 07:53
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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

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 (7x+8) (10x) с A D. BC. AB. AC Which
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osuigwewhitney487
osuigwewhitney487
4,9(47 marks)

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

fatherbamboo
fatherbamboo
4,9(79 marks)

A. \frac{2}{3}|2-x| = \frac{1}{15}

Step-by-step explanation:

Subtract 2/3 from each side

\frac{2}{3} |2 - x| = \frac{1}{15}

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