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Artist 52 [7]
2 years ago
6

XY and BD are parallel lines

Mathematics
1 answer:
madreJ [45]2 years ago
6 0

Answer:

a) they are corresponding angles

b) B=55° (proven)

C=55 (Angles opposite equal sides)

B+C+X=180° ( sum of angles of a triangle)

55°+55°X=180

110°+X=180°

X=180°-110°

X=70°

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The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function
MAVERICK [17]

Answer:

P(x) = 3x - 10

Step-by-step explanation:

Given

R(x) = 5x

C(x) = 10 + 2x

Required

Determine P(x) = (R - C)(x)

In functions;

(f - g)(x) = f(x) - g(x)

So, we have:

P(x) = (R - C)(x)

P(x) = R(x) - C(x)

Substitute values for R(x) and C(x)

P(x) = 5x - (10 + 2x)

Open bracket

P(x) = 5x - 10 - 2x

Collect Like Terms

P(x) = 5x - 2x- 10

P(x) = 3x - 10

7 0
3 years ago
Please help!<br> Find m&lt;1<br> A. 147<br> B. 123<br> C. 90<br> D. 57
sergiy2304 [10]
I hope this helps you




1+33+57=180


1+90=180


1= 90
3 0
3 years ago
Read 2 more answers
Monthly rent at Lake View Apartments has increased annually and is modeled by the exponential equation y = 2,400(1.04)x. What is
AfilCa [17]

Answer:

The percent increase per year is 4%

Step-by-step explanation:

we have

y=2,400(1.04^x)

This is a exponential function of the form

y=a(b^x)

where

y represent the monthly rent at Lake View Apartments

x represent the number of years

a is the initial value (y-intercept)

b is the base

r is the rate or percent increase

b=(1+r)

The percent increase per year is the base of the exponential function decreased by 1.

so

r=b-1

In this problem we have

a=\$2,400 ---> initial value

b=1.04\\r=1.04-1=0.04=4\%

Therefore

The percent increase per year is 4%

7 0
4 years ago
Answer any or all. I'll mark you as brainliest if you answer all correctly and explain how you go the answer to each question! P
zimovet [89]

Answer:

16. D. 180 inches

17. A. 1/20 pound

18. D. (2,6)

19. A. 2/8

20. D. 22

Step-by-step explanation:

16. every 5 feet is 60 inches there is 15 feet because 1 yard=3 feet so 60*3=180

17. when you round it upwards you would have 30/40 and 32/40 so it would be 2/40 and then simply 1/20 so therefore it would be 1/20

18. The cost of milk is 3 so that would be (3,y) then every gallon would be y so (3,1)

19. You know this because when you plug in all the other numbers none of the rest of them work but A so therefore it must be A

20. So first you would multiply 2*2*2*2=8 Then you would divide 172/8=22. So therefore your answer would be 22

4 0
3 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nea
Anarel [89]

Answer:

  179.3 square units

Step-by-step explanation:

The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.

__

<h3>Semicircle</h3>

The area of a circle with radius 5 is ...

  A = πr²

  A = π(5²) = 25π

The area of the semicircle is half that:

  semicircle area = (25π)/2 = 12.5π ≈  39.3 . . . . square units

<h3>Rectangle</h3>

The area of a rectangle with length L and width W is ...

  A = LW

The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.

  A = (14)(10) = 140 . . . . square units

<h3>Total area</h3>

The sum of the areas of the parts is ...

  total area = semicircle area + rectangle area

  total area = 39.3 + 140 = 179.3 . . . . square units

3 0
2 years ago
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