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djverab [1.8K]
3 years ago
7

Find the value of x in the parallelogram.

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

75

Step-by-step explanation:

Since the two angles are on the same side of the parallelogram, they're supplementary.

x + (2x - 45) = 180

3x - 45 = 180

3x = 225

x = 75

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The rate of 225 mi in 7 hr written as a unit rate
mel-nik [20]

Answer:

32.14 an hour

Step-by-step explanation:

3 0
3 years ago
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If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
Read 2 more answers
Kala drove 260 miles using 12 gallons of gas. at this rate, how many gallons of gas would she need to drive 286 miles
dybincka [34]
Kala will use 13.2 gallons of gas to drive a distance of 286 miles.
3 0
3 years ago
3. In the figure, c || d. What are the measures<br> of 1 and 2
dem82 [27]

Answer:

1: 105 degrees

2: 75 degrees

Step-by-step explanation:

2 is a corresponding angle with 75.

1 is supplementary so  x+75 = 180

x=105

5 0
3 years ago
Suppose M is the midpoint
AysviL [449]

x   =   9

Since M is the midpoint of XY:

XM   =   MY

XM =  2x  +  11

MY  =  5x  -  16

2x  +  11   =  5x  -  16

5x  -  2x   =  11  +  16

3x    =   27

x    =  27/3

x   =   8

Learn more here: brainly.com/question/18315903

6 0
3 years ago
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