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3 years ago

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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3 years ago

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Aloiza [94]

Answer:

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Step-by-step explanation:

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2 years ago

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Makovka662 [10]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the following sets of inequalities

Ludmilka [50]

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

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The inequality for the blue portion is,
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y-intercept is -1.

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Hence, the correct options are 2 and 3.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

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1 year ago

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iren2701 [21]

Answer:

arc BC = 140

Step-by-step explanation:

Comment

Pick a point inside the circle. It should look like this point is the center of the circle. Call this point D. Draw lines CD and BD

CD makes a right angle with AC

BD makes a right angle with AB

The central angle formed by The given information above is

<BDC = 360 - 90 - 90 - 40

<BDC = 140.

Answer The arc measurement of BC = 140

5 0

1 year ago

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

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