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3 years ago

HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

m∠LMN = 29°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Set up equation

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

Step 2: Solve for x

Combine like terms: 7x + 2 = 107
Isolate x term: 7x = 105
Isolate x: x = 15

Step 3: Find m∠LMN

Define: m∠LMN = (2x - 1)°
Substitute in x: m∠LMN = (2(15) - 1)°
Multiply: m∠LMN = (30 - 1)°
Subtract: m∠LMN = 29°

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fiasKO [112]

Answer:

coordinates of its image

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Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

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After mirroring in the y- axis you get:

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2 years ago

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3 years ago

Bill spent 70 on fertilizer and weed killer for his lawn .Each pound of fertilizer cost 50 cents and each once of weed killer co

meriva

An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70

Solution:

Given that, Bill spent 70 on fertilizer and weed killer for his lawn

Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50

We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.

Now, total amount = amount for fertilizers + amount for weed killers.

Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

$\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}$