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elena-s [515]
3 years ago
10

Lines A, B, and C show proportional relationships.

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

For line A,

if we increase x by 1 unit then y increases by 4 units i.e. (1,3) and similarly another point becomes

(2,7).

For line B,

if we increase x by 1 uni then y also increases by 1 unit i.e ( 1,1) and similarly another points becomes (2,2),(3,3),(4,4), etc.

For line C,

if we increase x by 3 units then y increases by 1 units i.e.(3,1) and similarly another points becomes

(7,2) and so on.

In above lines, the value of x is exactly equal to that of y in line B.

therefore, line B has constant proportionality between x and y.

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Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10
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Yolanda drove 638 miles in 11 hours at the same rate how many miles would she drive in 13 hours
kondaur [170]

Answer: 754

Step-by-step explanation:

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Multiply that by how many hours you have, 13, and you get 754.

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2 years ago
Please help!! It is easy!!<br> 180:60 in simplest form<br><br> 15 pts for this question
alexandr1967 [171]
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4 years ago
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1/2x-7=1/3(x-12) pls find the value of x
KIM [24]

Answer:

x=18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(1 /2 )x−7 =  (1 /3 )x−4 (Distribute)

Step 2: Subtract 1/3x from both sides.

(1 /6) x−7=−4

Step 3: Add 7 to both sides.

(1 /6 )x=3

Step 4: Multiply both sides by 6.

x=18

6 0
4 years ago
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Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!
AnnZ [28]
<h3>Answer:  HF = 5</h3>

=============================================

Explanation:

Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.

The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.

Let y be the length of segments JA and JB.

Let z be the length of segments CF and CA.

So in short we have

  • x = HF = HB
  • y = JA = JB
  • z = CF = CA

We know that

  • CH = 13
  • HJ = 19
  • CJ = 22

This must mean

  • CH = CF+HF = z+x = 13
  • HJ = HB+JB = x+y = 19
  • CJ = CA+JA = z+y = 22

Or in short,

  • z+x = 13
  • x+y = 19
  • z+y = 22

Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.

Now plug this into the third equation to get

z+y = 22

(z) + y = 22

(-x+13) + y = 22 ... replace z with -x+13

-x+13+y = 22

-x+y+13 = 22

-x+y = 22-13 .... subtract 13 from both sides

-x+y = 9

------------------------------------

So we have this reduced system of equations of two variables and two equations

  • x+y = 19 ... found earlier
  • -x+y = 9 .... what we just found above

Add the equations straight down. This is the elimination property.

Doing so leads to the x terms canceling out since x + (-x) = 0x = 0

The y terms add to y+y = 2y

The terms on the right hand side add to 19+9 = 28

We are left with 2y = 28 which solves to y = 28/2 = 14.

If y = 14, then,

x+y = 19

x+14 = 19

x = 19-14

x  = 5

In which we can then say

z = -x+13

z = -5+13

z = 8

Though we don't need to find z (unless you're curious about it).

Since x = 5, and we set HF equal to x, this means that HF = 5.

6 0
3 years ago
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