Mathematics, 30.01.2021 01:50 bri663

Analyze the diagram below and complete the instructions that follow. 1117
X
x + 3
Find the value of x.

Analyze the diagram below and complete the instructions that follow.

1117
X
x + 3
Find the value

Answers: 1

Show answers

Answers

Answer from: adhanom12

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)FactoringMultiple Roots

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Identify

a = x + 3

b = x

c = √117

Step 2: Solve for x

Substitute [PT]: (x + 3)² + x² = (√117)²Expand [FOIL]: x² + 6x + 9 + x² = (√117)²Combine like terms: 2x² + 6x + 9 = (√117)²Exponents: 2x² + 6x + 9 = 117[SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0Factor out GCF: 2(x² + 3x - 54) = 0[DPE] Divide 2 on both sides: x² + 3x - 54 = 0Factor Quadratic: (x - 6)(x + 9) = 0Solve roots/solve x: x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

Answer from: Quest

we know that

applying the law of sines

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is ≈29°

part b) the measure of angle k could also be

(180-29)=151°

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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Analyze the diagram below and complete the instructions that follow. 1117
X
x + 3
...

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