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VikaD [51]
3 years ago
5

Determine whether each number is a solution of the inequality below. 3x+4<-7

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Step-by-step explanation:

3x + 4 < -7

3x < -7 - 4

3x < -11

x < -11/3 ≈ -3,666

x = {3,2,1,0, etc}

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X = [ ? ] <br><br> PLEASE HELP
evablogger [386]

Step-by-step explanation:

60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)

Therefore 2x = 60° and x = 30°.

3 0
3 years ago
Read 2 more answers
Please help numbers 28, 30, 32, 34
Juliette [100K]
<h3>28.</h3>

The path of any fair ball will divide the 90° angle between foul lines into complementary angles. The angle with the first-base foul line is ...

... 90° -27° = 63°

<h3>30.</h3>

The attached picture shows the two angles "constructed" using a protractor. It is not possible to construct a 97° angle with compass and straight-edge

<h3>32.</h3>

Let x represent the measure of the complement. Then the angle that is 6° less than the meaure of the complement is x-6°. The angle and its complement total 90°, so we have ...

... (x-6°) + (x) = 90°

... 2x - 6° = 90° . . . . . simplify

... 2x = 96° . . . . . . . . .add 6°

... x = 48° . . . . . . . . . . divide by 2

... (x-6°) = 48°-6° = 42°

The angles are 42° and 48°.

<h3>34.</h3>

Let x represent the measure of the angle. Then its supplement is 180°-x, and half that is (180°-x)/2. The angle is 3° more than this, so we have

... x = (180° -x)/2 +3°

... x -3° = (180° -x)/2 . . . . subtract 3°

... 2x -6° = 180° -x . . . . . .multiply by 2

... 3x -6° = 180° . . . . . . . .add x

... x - 2° = 60° . . . . . . . . . divide by 3 to get x by itself

... x = 62° . . . . . . . . . . . . add 2°

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One angle is 62°; half the measure of its supplement is 59°; it supplement is 118°.

5 0
4 years ago
Find the distance between the points (5, -6) and (-1, 3).
emmasim [6.3K]

Answer:

\sqrt{117}

Step-by-step explanation:

Use the distance formula.

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2}

d = \sqrt{(-6)^2 + 9^2}

d = \sqrt{36 + 81}

d = \sqrt{117}

6 0
3 years ago
How to get slope from standard form.
lidiya [134]

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

3x + 5y = 15 \\  - 3x  \:  \:  \:  \:   \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  - 3x

5y =  - 3x + 15

Now solve for y by dividing each term by 5.

\frac{5y}{5}  =  \frac{ - 3}{5} x +  \frac{15}{5}

Now simplify.

y =  \frac{ - 3}{5} x + 3

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-  \frac{3}{5}

5 0
3 years ago
Can somebody please help me?
ANTONII [103]

Answer:  .499/1000

Step-by-step explanation:

499/1000

4 0
3 years ago
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