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marin [14]
4 years ago
13

Find the length of the mid segment the diagram is not to scale

Mathematics
1 answer:
zepelin [54]4 years ago
4 0
Using the left or right side of triangle, you can conclude that the midsegment will divide the triangle in both midlines of the sides. This means the length of the line would be half of the line below it. The equation would be:

47/4x+2= 94/ 4x+44
4x+44/ 4x+2 = 94/47
4x+ 44 / 4x+2  =2
4x+44  = 2(4x+2)
4x+44 = 8x+4
 4x-8x= 4-44
-4x= -40
x= 10

Then the length of midline would be:
4x+2= 4(10)+2= 42
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Julio has $2.75 in his pocket in nickels and dimes . The number of dimes is 10 less than twice the number of nickels. Find the n
Margaret [11]

Answer:

A dime is worth 2 nickels.  

let no of dimes be x

let no of nickles be y

so as per the data mentioned in the question , x=2*y-10

total amount = $2.75  

so total amount should comprise of nickels and dimes

x*dimes + y*nickels = $2.75

x*( 2 nickels)+ y *nickels = $2.75

=> nickles( 2x+y) = $ 2.75

but 20 nickels = 1 dollar

nickles(2x+y) = 2.75*20 nickels

cancelling nickles on both sides

2x+y = 55

already we know that x= 2y-10  

so 2(2y-10) +y= 55

4y-20+y=55

5y -20 =55

add 20 on both sides

5y-20+20=55+20

5y=75

divide with 5 on both sides

5y/5 =75/5

y= 15

so x= 2y-10  

x= 2*15-10  

x= 30-10

x= 20

so # of dimes =20  

# of nickels =15

4 0
4 years ago
What is the y-intercept of the quadratic function y=x2+5x-25?
Llana [10]

Answer:

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Step-by-step explanation:

To find the y- intercept, let x = 0 in the function

y = 0² + 5(0) - 25 = 0 + 0 - 25 = - 25 ← y- intercept

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Answer:

A

Step-by-step explanation:

2x + 10 = 105

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