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atroni [7]
3 years ago
7

Plz help. Find the measure of each angle indicated.

Mathematics
1 answer:
Doss [256]3 years ago
6 0

to find the angle at point E you would take 180-105. which equals 75.

75+55= 130

180-130=50

Angle D= 50 degrees

Angle C= 55 degrees

Angle E= 75 degrees

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Which function's graph has x-intercepts at x=−1 and x=3, and a vertex at point (1,−4)?
Luda [366]

Answer:

Top right option: g(x) = (x+1)(x-3)

Step-by-step explanation:

x=-1 is the solution to x+1=0

x=3 is the solution to x-3=0

Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.

Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:

x=-b/2a

1=-(-2)/2(1)

1=2/2

1=1

Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)

5 0
3 years ago
The number of visits to public libraries increased from 1.5 billion in 1991 to 1.7 billion in 1996. Find the average rate of cha
nexus9112 [7]

The average rate of change between 1991 and 1996 is 40 million

<h3>How to determine the average rate of change between 1991 and 1996?</h3>

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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brainly.com/question/8728504

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6 0
2 years ago
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b
zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

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8 0
2 years ago
Michael has a collection of 1404 race cards.He hopes to sell the collection in packs of 36 cards,and make 633.75 when all the pa
Anna007 [38]
He should charge 16.25 for each pack
6 0
3 years ago
You own a motel and have a pricing structure that encourages rentals of rooms in groups.
zheka24 [161]

Answer:

$41

Step-by-step explanation:

  • One room rents for $68,
  • Two rooms for $65 each,
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So,

a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...

where a_n is the rate per nth room rented.

This is an arithmetic sequence, so

a_n=a_1+(n-1)\cdot d

In your case,

a_1=68\\ \\n=10\\ \\d=-3

Hence

a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41

This means if a group rents 10 rooms, the charge per room is $41.

5 0
3 years ago
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