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3 years ago

Find the value of the variables in the figure below

Mathematics

1 answer:

svetlana [45]3 years ago

6 0

Answer:

The answer to your question is:

x = 21

y = 4

∡ = 75° and 105°

Step-by-step explanation:

Process

3(x + y)° + 5x = 180 supplementary angles

3(x + y) = 4x - 9 corresponding angles

Expanding

3x + 3y + 5x = 180 (1) Like terms

3x + 3y = 4x - 9 (2)

8x + 3 y = 180 (1)

8 ( -x + 3 y = -9) (2) Multiply by 8

8x + 3y = 180 (1)

-8x +24y = -72 (2) Elimitation method

27 y = 108

y = 108 / 27

y = 4

8x + 3 (4) = 180

8x +12 = 180

8x = 168

x = 21

3(21 + 4) = 3(25) = 75°

5(21) = 105°

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3 years ago

a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

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$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

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Choosing the points (0,4) and (2,10), we get:

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4 0

3 years ago

What number does x stand for in this equation?

Alex777 [14]

Answer:

C. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

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

Step-by-step explanation:

Step 1: Define

-7x + 6 = 27

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21
[Division Property of Equality] Divide -7 on both sides: x = -3

3 0

3 years ago