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snow_lady [41]
2 years ago
10

Help me pls due tmrw

Mathematics
1 answer:
stiv31 [10]2 years ago
8 0

( a )pairs of vertical angles :

AGB and EGD

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.

( b ) a pair of adjacent angles :

AGB and BGC

Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.

(c) Name a pair if supplementary angles :

AGB and BGD

Two angles are called supplementary when their measures add up to 180 degrees.

(d) A pair of complementary angles :

AGF and FGE

Two angles are called complementary when their measures add to 90 degrees.

(e) Find measure of CGD :

( look into the photo attached for better understanding)

CGD = 55°

<em>hope this helps :)</em>

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The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

  • The braking distance at 25 mph, is approximately <u>63.7 ft.</u>
  • The braking distance at 55 mph,  is approximately <u>298.35 ft.</u>
  • The braking distance at 85 mph,  is approximately <u>708.92 ft.</u>

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.

At 25 mph, the braking distance is approximately <u>63.7 ft.</u>

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945  ft.s

D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.

At 55 mph, the braking distance is approximately <u>298.35 ft.</u>

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.

At 85 mph, the braking distance is approximately <u>708.92 ft.</u>

b. The speed of the car when the braking distance is 450 feet is given as follows;

450 = 2.6 + \dfrac{v^2}{22}

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ <u>98.211 ft./s</u>

Learn more here:

brainly.com/question/18591940

8 0
2 years ago
Determine whether each mapping represents a function. Explain your reasoning.
FinnZ [79.3K]

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

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3 years ago
Talia has a daily budget of $94 for a car rental. Write and solve an inequality to find the greatest distance Talia can drive ea
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Answer:

Step-by-step explanation:

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Cost for travelling 'x' miles = x * 0.20 = 0.2x

Daily budget = $94

Inequality,

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Solution:

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0.2x ≤ 64        {Divide both sides by 0.2

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