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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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Solve the given system by the substitution method. <br>3x + y = 14 <br>7x - 4y = 20​
Eva8 [605]

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

8 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME PLS!!!!
Anastaziya [24]

Step-by-step explanation:

the two opposites Angles of this quadrilateral are equal, again the angles should sum up to 360

t-9+t-91+t-16+t+25=360

4t=360-101

4t=259

t=64.75

8 0
3 years ago
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
iVinArrow [24]

Answer:

acceleration \approx 2.78\,\,\frac{m}{s^2}

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}

so in this case the acceleration becomes:

accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}

7 0
3 years ago
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kow [346]
These are so easy, you won't believe it !

A negative exponent only means

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So    (any number)^negative power =

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The first few problems on that sheet:

1).  5^-3  =  1 / 5^3

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3).  (-2)^-5  =  1 / (-2)^5

Got it ?    You can do the rest of them now in about 2 minutes. 
4 0
3 years ago
Someone answer? Please
mina [271]
The formula for the volume of a pyramid is (1/3)area of the base x height.
And the questions gives us all the information we need! All we need to do is plug in the values.

V = 1/3 b x h
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V = 10 x 625
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Hope this helps!
6 0
3 years ago
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