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Pepsi [2]
3 years ago
9

-3x-12>8x+21 please help 30 points!!!!!!!!!!!!!!

Mathematics
1 answer:
hram777 [196]3 years ago
6 0
-3x-12> 8x + 21
+12 +12
-3x > 8x + 33
-8x -8x

-11x > 33
————-
-11

x < -3

I moved the real numbers to one side and and the variable to the other side to solve for the inequality

I also remembered somewhere that if you divide by a negative number the inequality sign switches.
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Eleven less than five times a number is twenty four?
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Two supplementary angles are in the ratio 3 1 : 5 find both angles​
Zielflug [23.3K]

The two angles are 155 degrees and 25 degrees

<h3><u>Solution:</u></h3>

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5

<em><u>Therefore the angles are:</u></em>

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

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3 0
3 years ago
Find the length of GI in the triangle below. Show your work.
love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

<u>GI = √ 8,110.8 = 90.06 units</u>

4 0
3 years ago
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1 year ago
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gogolik [260]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

6 0
3 years ago
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