1. Identify a pair of alternate exterior angles.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Option a. ∠3 and∠4

These angles are interior angles.

Option b . ∠1 and∠2

These angles are linear pair.

Option c . ∠1 and ∠6

These angles are outer angles

Option d . ∠2 and ∠6

According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles

Hence Option d is pair of alternate exterior angles.

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Find the value of x.round to the nearest tenth

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Answer:

$\displaystyle x \approx 8.2$

General Formulas and Concepts:

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Order of Operations: BPEMDAS

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Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
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Trigonometry

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = 23°

Opposite Leg = x

Hypotenuse = 21

Step 2: Solve for x

Substitute in variables [sine]: $\displaystyle sin(23^\circ) = \frac{x}{21}$
[Multiplication Property of Equality] Isolate x: $\displaystyle 21sin(23^\circ) = x$
Rewrite: $\displaystyle x = 21sin(23^\circ)$
Evaluate: $\displaystyle x = 8.20535$
Round: $\displaystyle x \approx 8.2$