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4 years ago

HELP! can someone help me with this math problem pls?

Mathematics

1 answer:

scoray [572]4 years ago

5 0

The answer to this is 180.

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If m is the midpoint of segment JK, JM equals 7x minus 32, and MK equals 89 minus 4x, what is MK?

KonstantinChe [14]

Step-by-step explanation:

Imagine this segment, given that m is the midpoint of segment JK...

J________M________K

JM = 7x-32 MK = 89 - 4x (given)

If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.

$7x -32 = 89 - 4x\\$

Steps to find x (we have to get x by itself):

$7x - 32 + 4x = 89 - 4x +4x$

$11x -32 = 89$

$11x -32 +32 = 89 +32$

$11x = 121$

$\frac{11x}{11} = \frac{121}{11}$

$x=11$ (we haven't found the answer yet! we only found x)

Now that we found x, we can find segment MK. Now we know that:

$MK = 89 - 4x$

$x= 11$

Let's plug x into the equation:

$MK = 89 - 4(11)\\MK = 89- (44)\\MK = 45$

Answer: $MK= 45$

4 0

3 years ago

Help me answer please!!!

VLD [36.1K]

Answer:

A.) -5.85

B.) -5.55

C.) -5

D.) -4.35

8 0

4 years ago

What number is exactly halfway between 1000 and 1500?

Lunna [17]

$the \ number \to \frac{1000+1500}{2}=\frac{2500}{2}\to\boxed{\boxed{1250}}$

3 0

3 years ago

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A police car drives 144 km in 240 minutes. what is its average speed in kilometers per hour?

NeTakaya

Answer: 36km/hour

Explanation: 144/4

7 0

2 years ago

Solve 2sin(2x) - 2sinx +2sqrt3 cosx - sqrt3 = 0

SashulF [63]

Answer:

2sin(2x)-2sinx+2sqrt3cosx-sqrt3 = 0

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4sin(x)cos(x) - 2sin(x) + 2sqrt(3)cos(x) - sqrt(3) = 0

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Factor:

2sin(x)[2cos(x)-1] + sqrt(3)[2cos(x)-1] = 0

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[2cos(x)-1][2sin(x)+sqrt(3)] = 0

Solve:

2cos(x)-1 = 0 or 2sin(x)+sqrt(3) = 0

cos(x) = 1/2 or sin(x) = -sqrt(3)/2

x = +/-pi/3 or x = -pi/3 or (4/3)pi

hope this helps!

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3 years ago

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