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kozerog [31]
3 years ago
10

Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi

on and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
8+2x≤6x-20
Mathematics
1 answer:
Evgen [1.6K]3 years ago
7 0

Answer: x=7

Step-by-step explanation:

Simplifying

8 + 2x = 6x + -20

Reorder the terms:

8 + 2x = -20 + 6x

Solving

8 + 2x = -20 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

8 + 2x + -6x = -20 + 6x + -6x

Combine like terms: 2x + -6x = -4x

8 + -4x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0

8 + -4x = -20 + 0

8 + -4x = -20

Add '-8' to each side of the equation.

8 + -8 + -4x = -20 + -8

Combine like terms: 8 + -8 = 0

0 + -4x = -20 + -8

-4x = -20 + -8

Combine like terms: -20 + -8 = -28

-4x = -28

Divide each side by '-4'.

x = 7

Simplifying

x = 7

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Determine the length of the base and the corresponding height of ABC, and use them to find the area of ABC.
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The area of the triangle is 30 units^2. the height of the triangle is 4 units.

<h3>What is the area of the triangle?</h3>

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle can be calulated by the herons formula

base of ABC = AC = 15 units

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Herons formula

Area = \sqrt{s(s-a) (s-b)(s-c)}\\\\Area = \sqrt{16.32(16.32-5) (16.32-12.65)(16.32-15)}\\\\Area = \sqrt{16.32(11.32) (3.675)(1.32)}\\\\Area = 29.93

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Height of the triangle = 2( area) / base

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