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Nat2105 [25]
3 years ago
6

If B is the midpoint of AC, and AC=8x-20, find BC.​

Mathematics
2 answers:
Natali5045456 [20]3 years ago
3 0
2(3x-1)=8x-20
SIMPLY

6x-2=8x-20
SUBTRACT 6x ON BOTH SIDES

-2=2x-20
ADD 20 TO BOTH SIDES

18=2x
DIVIDE 2 ON BOTH SIDES

X=9
SUBSTITUTE

3(9)-1

27-1

26

BC=26
Semmy [17]3 years ago
3 0

Answer:

BC=26

Step-by-step explanation:

Start with:

AB+BC=AC

Since B is the midpoint, we also know that:

AB=BC

Knowing this, we can use a system of equations and substitute AB for BC in the equation we started with:

AB+AB=AC

Let's identify our values:

AB=3x-1\\AC=8x-20

Substitute:

3x-1+3x-1=8x-20

Combine like terms:

6x-2=8x-20

Add 20 to both sides of the equation:

6x+18=8x

Subtract 6x from both sides of the equation:

18=2x

Divide by the coefficient of x, which is 2.

x=9

Substitute 9 into 3x-1

3(9)-1

Solve:

AB=26

Remember that AB=BC, thus:

BC=26

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It costs $5.44 for a pack of 16 pens. Find the unit price in dollars per pen. Round your answer to the nearest cent​
Artist 52 [7]

$3.68 for 16 pens

$3.68 per 16 pens

($3.68) / (16 pens)  

$0.23 / (1 pen)

$0.23 / pen

$0.23 per pen

I am not 100% sure sorry

3 0
3 years ago
Read 2 more answers
QUICKK - Which inequality matches the graph?
Marizza181 [45]

B.

5a < 20 \\ a <  \frac{20}{5}  \\ a < 4

5 0
2 years ago
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This one too!!! This is from the same project that I was struggling with and was similar to the other problem but I couldn't fig
evablogger [386]

9514 1404 393

Answer:

  y = 1/4x^1 -x -4

Step-by-step explanation:

Same question as previous parts. The working is identical, using different numbers.

Focus-vertex distance is (y-difference) p = -4-(-5) = 1. Vertex is (h, k) = (2, -5). Putting these values into the vertex form and expanding to standard form, you get ...

  y = (1/(4p))(x -h)^2 +k

  y = 1/4(x -2)^2 -5 . . . . . . . . fill in the values for p, h, k

  y = 1/4(x^2 -4x +4) -5 . . . .  expand the square

  y = 1/4x^2 -x +1 -5 . . . . . . . use the distributive property to eliminate parens

  y = 1/4x^1 -x -4 . . . . . . . . . collect terms

_____

Additional information may be found at ...

  brainly.com/question/20338735

6 0
3 years ago
#22 #24 and #26 HELP
Grace [21]
#22)
4(t - 8) + 20 = 5
Distribute the 4.

4t - 32 + 20 = 5
Combine like terms.

4t - 12 = 5
Add 12 to both sides.

4t = 17
Divide both sides by 4.

t = 4.25


#24)
17 = -5(3 + w) + 7
Distribute the -5.

17 = -15 - 5w + 7
Combine like terms.

17 = -8 - 5w
Add 8 to both sides.

25 = -5w
Divide both sides by -5.

w = -5


#26)
9 = -(r - 5) + 11
Distribute the -.

9 = -r + 5 + 11
Combine like terms.

9 = -r + 16
Subtract 16 from both sides.

-7 = -r
r = 7
7 0
3 years ago
Find:P(large or blue)
siniylev [52]

Answer:

7/10

Step-by-step explanation:

Total number = 17+3+8+12 = 40

The ones that are large are 17 and 8

The ones that are blue are 17 and 3

Do not count the 17 twice

P(large or blue) = (17+3+8)/40

                          = 28/40

                         =7/10

7 0
3 years ago
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