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3 years ago

Solve the inequality –8 < x – 14.

Mathematics

2 answers:

Ilya [14]3 years ago

7 0

Answer:

x=6

Step-by-step explanation:

DaniilM [7]3 years ago

5 0

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

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20 points and Brainliest if answered and explained!

Rasek [7]

What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
We then have the following equation that is given by:
(2x) + (3x) + (4x) = 180
Clearing x we have:
9x = 180
x = 180/9
x = 20
Therefore we have:
m∠A = (40) °
m∠B = (60) °
m∠C = (80) °
Answer:
B) m∠B = 60 °

6 0

3 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

One number is 18 more than another number. The sum of the numbers is 36. find the numbers

tatuchka [14]

We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.

We can make two equations from the given:

x = 18 + y

("One number is 18 more than another number")

x + y = 36

("The sum of the numbers is 36")

If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:

x + y = 36

(18 + y) + y = 36

18 + 2y = 36

2y = 18

y = 9

Input the value of 'y' into the first equation:

x = 18 + y

x = 18 + 9

x = 27

One number is 27 and the other number number is 9.

Let me know if you'd like me to explain anything I did here.

- breezyツ

7 0

4 years ago

Whitch simplified fraction is equal to 0.53

Flura [38]

The decimal .53 has the 3 in the hundredths place, so the fraction that this was originally is $\frac{53}{100}$ . When you divide 53 by 100 on your calculator, you will get backk .53

6 0

3 years ago

Read 2 more answers

1. Sarah and Maya both need notebooks and pencils. The equation that represents Sarah's

STALIN [3.7K]

Step-by-step explanation:

We have y = 13 - 3x and y = 7 - x.

=> 13 - 3x = 7 - x

=> 2x = 6, x = 3.

Then y = 7 - (3), y = 4.

Hence the price of a pencil is $3 and the price of a notebook is $4. (C)

8 0

3 years ago

Read 2 more answers