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My name is Ann [436]
3 years ago
8

Line a is parallel to line b, m∠1=2x+44 and m∠ 5=5x+38 Find the value of x.

Mathematics
1 answer:
Mumz [18]3 years ago
8 0
<span>Line a is parallel to line b:
</span><span>m∠1=m∠ 5, because they are correspondent angles, then:
2x+44=5x+38
Solving for x:
2x+44-2x-38=5x+38-2x-38
6=3x
3x=6
Dividing both sides of the equation by 3
3x/3=6/3
x=2

Answer: Third option: 2</span>
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whats an rational and a irrational number between 1.4 and 1.6. include the decimal approximation of the irrational number to the
Liono4ka [1.6K]
1.5 is a rational number because it can be written as a fraction.
1.56 or 1.555555 repeating is not a rational number.
7 0
3 years ago
Read 2 more answers
a man makes a profit 15% by selling an article for rs.250. for what amount should he sell it to make profit of 38%​
Ulleksa [173]

Answer:

$300

Step-by-step explanation:

original price = $250

the profit= 15%

ok now let the cost price of article be ₹ x

x + 15% of x = 250

1.15x = 250 => 115x ÷ 100 = 250

115x = 25000 => x = 25000 ÷ 115

x = 5000/ 23

cost price of article = ₹5000/ 23

required profit = 38%

= 38% of 5000/ 23 = 0.38 × 5000/ 23

= 1900/ 23

the required will be selling price to gain about 38%

= cost price + required profit which is

= (5000/ 23) + (1900/ 23)))

= 6900/ 23 = $300

Answer:  now its required selling price = $300

5 0
2 years ago
Read 2 more answers
How to solve for shaded area
tamaranim1 [39]

Answer:

(a)  12.96 ft²

(b)  21.5 in²

Step-by-step explanation:

(a) For the first diagram

Area of the shaded region (A) = Area of Tripezium- area of circle

A = [1/2(a+b)h]-[πr²]............... Equation 1

Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.

From the diagram,

Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.

Constant: π = 3.14

Substitute these values into equation 1

A = [12(15+6)/2]-(3.14×6²)

A = 126-113.04

A = 12.96 ft²

(b) For the second diagram,

Area of the shaded region (A') = Area of square- area of circle

A' = (L²)-(πr²)............. Equation 2

Where L = lenght of one side of the square, r = radius of the circle

From the diagram,

Given: L = 2r = (2×5) = 10 in, r = 5 in

Substitute these values into equation 2

A' = (10²)-(3.14×5²)

A' = 100-78.5

A = 21.5 in²

5 0
2 years ago
Carlos wrote three numbers between 0.33 and 0.34 what numbers could Carlos have written
Andrew [12]
0.331 0.332 0.333.
you basically just need to add any number to the end.
8 0
3 years ago
Qustion 21
sweet-ann [11.9K]

Answer:

8km

Step-by-step explanation:

Going by the sketch attached in the picture, the distance between starting point and present position is 8 km.

The sketch is crucial to determine the answer to the question, Hence, kindly check the picture attached for reasoning being the choice of result.

5 0
2 years ago
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