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AlekseyPX
4 years ago
7

Find the value of x for which r || S. A) 44 B) 10 C) Can't be determined. D) 14

Mathematics
2 answers:
nlexa [21]4 years ago
5 0
The answer is A because 10 and 14 don’t fit the question at all.
Elodia [21]4 years ago
4 0

Answer:

x=44

Step-by-step explanation:

For the two lines to be parallel, the two angles have to add to 180 degrees

45+3x+3 =180

Combine like terms

3x+48 = 180

Subtract 48 from each side

3x+48-48=180-48

3x=132

Divide each side by 3

3x/3 = 132/3

x =44

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HELP ASAP BRAINLIEST FOR FIRST CORRECT ANSWER In triangle ABC, m∠A=(5x−10)∘, m∠B=(12x)∘, and the exterior angle at C is (16x)∘.
kirill [66]

Answer:

160

Step-by-step explanation:

5x-10+12x=16x

17x-16x=10

x= 10

exterior angle at C = 16x= 16×10 = 160°

5 0
3 years ago
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What is the range of this equation? f(x) = x + 41 – 2
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The range is the set of all valid
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3 0
3 years ago
A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it f
choli [55]

Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     

     

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

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The length of the ladder = 6.5 ft

8 0
3 years ago
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0
3 years ago
You like the size of your MP3 player. The width is 4 centimeters. The length is 7 centimeters. The height measures 1 centimeter.
Basile [38]

Answer:

78mm^2

Step-by-step explanation:

based on the information given, we can tell that the shape of the MP3 player is a rectangle. The formula for the surface area of a rectangle is SA=2WL+2LH+2HW

SA = Surface Area

W = Width

L = Length

H = Height

SA = 2(4)(7) + 2(7)(1) + 2(1)(4)

= 2(28) + 2(7) + 2(4)

= 56 + 14 + 8

= 78

8 0
3 years ago
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