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chubhunter [2.5K]
3 years ago
6

Identify the angles that each have a measure of 124º.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

Angle 1, angle 3 and angle 7 will be the equal angles.

Step-by-step explanation:

In the figure attached,

Two lines are parallel and a transversal line is intersecting these parallel lines.

Congruent angles to the angle measuring 124° will be,

m(∠7) = 124° [Vertical angles]

m(∠1) = 124° [Corresponding angles]

m(∠3) = 124° [Alternate interior angles]

Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.

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Drag the expressions to the correct functions. Not all expressions will be used.
postnew [5]

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

<h3>What is composition function?</h3>

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

To learn more about the function refer to:

brainly.com/question/26709985

#SPJ9

7 0
2 years ago
???? please help lol
kow [346]

Answer:

  1. 150π ft²
  2. 10π ft.

Step-by-step explanation:

Area of the sector :

Area (sector) = \pi r^{2} \times \frac{\theta}{360^{o}}

Finding the area given r = 30 ft. and θ = 60° :

⇒ Area = π × (30)² × 60/360

⇒ Area = π × 900/6

⇒ Area = 150π ft²

===========================================================

Length of the arc :

Length (arc) =2 \pi r} \times \frac{\theta}{360^{o}}

Finding the arc length given r = 30 ft. and θ = 60° :

⇒ Arc Length = 2 × π × 30 × 60/360

⇒ Arc Length = 60/6 × π

⇒ Arc Length = 10π ft.

7 0
2 years ago
Read 2 more answers
Help me figure this out
Semenov [28]

Answer:

Each number matches up below. The left side is x, and the right is y.

1 ⇒ 192

2 ⇒ 384

4 ⇒ 768

6 ⇒ 1152

10 ⇒ 1920

Step-by-step explanation:

We know in 1 serving, there is 192 calories. Following this, to find the calories for 2 servings, we multiply 192 by 2.

192*2 = 384

When we know the calories but not the serving, you divide the calories by 192

768/192 = 4

6 0
2 years ago
Write a rule to describe each translation
ArbitrLikvidat [17]

Answer:

slide - translate

Step-by-step explanation:

you slided them both as neither of the figures changed

6 0
1 year ago
Jane, Jasmine, and Jocelyn have record collections. Jane has 3 times as many records as Jocelyn has. Jasmine has 2 more than twi
dangina [55]
X = jane, y = jasmine, z = jocelyn

x + y + z = 56
x = 3z
y = 2z + 2

3z + 2z + 2 + z = 56
6z + 2 = 56
6z = 56 - 2
6z = 54
z = 54/6
z = 9 <==== jocelyn

x = 3z
x = 3(9)
x = 27 <=== jane

y = 2z + 2
y = 2(9) + 2
y = 18 + 2
y = 20 <=== jasmine
7 0
3 years ago
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