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OverLord2011 [107]
3 years ago
8

Choose the linear inequality that describes each graph

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

≤, ≥ - solid line

<, > - dotted line

≤, < - shaded below the line

≥, > - shaded above the line

--------------------------------------------------------

<h3>Therefore your answer: A. y ≥ -1</h3>
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find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measu
Inga [223]

Answer:

First angle: 60°

Second angle: 30°

Step-by-step explanation:

Let the two angles be signified by the variables x & y.

Let the first angle = x, and the second angle = y.

It is given that:

"The measure[ments] of the complementary angles...": x + y = 90°

"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°

Use the system of equations. Plug in y + 30 for x in the first equation:

(y + 30) + y = 90

Combine like terms:

(y + y) + 30 = 90

2y + 30 = 90

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:

2y + 30 (-30) = 90 (-30)

2y = 90 - 30

2y = 60

Next, divide 2 from both sides of the equation:

(2y)/2 = (60)/2

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y = 30°

Plug in 30 for y in one of the equations:

x = y + 30

x = (30) + 30

x = 60°

Your answers:

First angle: 60°

Second angle: 30°

6 0
3 years ago
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