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iren [92.7K]
3 years ago
9

Help,anyone can help me do quetion.​

Mathematics
1 answer:
swat323 years ago
4 0

Answer:

Step-by-step explanation:

The given figure is parallelogram becasue their opposite sides are equal.

68+45+30+x=180 degree (sum of adjacent sides of a parallelogram are equal)

143 +x=180

x=180-143

x=37 degree

y=45 degree

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The following data show the number of cars passing through a toll booth during a certain time period over 15 days. 18 19 17 17 2
IgorLugansk [536]

Answer: <em>third from the top</em>

Step-by-step explanation:

<em>The correct answer is third from the top.</em>

<em>Arranging numbers in ascending order: </em>

<em>15 17 17 17 18 18 18 19 19 19 21 21 22 23 24</em>

<em>Let's count how many times each number occurs in this series of numbers.</em>

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<em>15 </em>+

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<em>17 </em>+ + +

<em>18 </em>+ + +

<em>19 </em>+ + +

<em>20 not</em>

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Finding area in miles
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A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle​
gulaghasi [49]

Answer:

Length of rectangle = 24 inches

Width of rectangle = 1 inches

Step-by-step explanation:

Area of rectangle = 24 square inches

Perimeter of rectangle = 50 inches

Formulas:

Area of rectangle = l\times w

Perimeter of rectangle = 2(l+w)

where l represents length of rectangle and w represents width of rectangle.

So, we can get two equations for l and w

A) l\times w=24    [Area]

B) 2(l+w)=50     [ Perimeter ]

Simplifying equation B.

Dividing both sides by 2.

\frac{2(l+w)}{2}=\frac{50}{2}  

l+w=25  

Solving for l in terms of width.

Subtracting w both sides.

l+w-w=25-w  

∴ l=25-w

Substituting value of l in terms of w in equation A.

(25-w)w=24

Using distribution.

25w-w^2=24

Adding w^2 both sides.

25w-w^2+w^2=24+w^2

25w=24+w^2

subtracting 25 w both sides

25w-25w=24+w^2-25w

0=w^2-25w+24

We have a quadratic equation. w^2-25w+24=0

We solve for w by factor method.

Splitting middle term into two terms such that the sum of the two =-25w and product of two = 24w^2

w^2-24w-w+24=0

Factoring in pairs.

w(w-24)-1(w-24)=0

Factoring as a whole

(w-24)(w-1)=0

So, we have

w-24=0 and w-1=0

By adding 24 to one equation and adding 1 to other we get

w-24+24=0+24 and w-1+1=0+1

w=24 and w=1

So length can be found out by plugging value of w in the length equation.

l=25-24=1 and l=25-1=24

Since length is always the longer side of rectangle so,  the dimensions of rectangle can be given by.

length = 24 inches  (answer)

width = 1 inches (answer)

6 0
3 years ago
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