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2 years ago

Pleasseeee help I'll give you brainlest answer

Mathematics

1 answer:

Greeley [361]2 years ago

5 0

Answer:

The value of x is 10

Step-by-step explanation:

The measure of the exterior angle at one vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex.

In ΔNOP

∵ ∠OPQ is an exterior angle of the triangle at vertex P

∵ ∠PNO and ∠NOP are the opposite interior angles of vertex P

→ By using the rule above

∴ m∠OPQ = m∠PNO + m∠NOP

∵ m∠OPQ = (6x - 15)°

∵ m∠PNO = (2x + 18)°

∵ m∠NOP = (2x - 13)°

→ Substitute them in the equation above

∴ 6x - 15 = 2x + 18 + 2x - 13

→ Add the like terms in the right side

∵ 6x - 15 = (2x + 2x) + (18 - 13)

∴ 6x - 15 = 4x + 5

→ Subtract 4x from both sides

∵ 6x - 4x - 15 = 4x - 4x + 5

∴ 2x - 15 = 5

→ Add 15 to both sides

∵ 2x - 15 + 15 = 5 + 15

∴ 2x = 20

→ Divide both sides by 2 to find x

∴ x = 10

∴ The value of x is 10

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3 years ago

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astra-53 [7]

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g(-2) = -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is x = -3 for function f(x)

g(-2) is x = -2 for function g(x)

Step 2: Evaluate

f(-3)

Substitute in x [Function f(x)]: f(-3) = 3(-3) - 3
Multiply: f(-3) = -9 - 3
Subtract: f(-3) = -12

g(-2)

Substitute in x [Function g(x)]: g(-2) = 3(-2)³ + 5
Exponents: g(-2) = 3(-8) + 5
Multiply: g(-2) = -24 + 5
Add: g(-2) = -19

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