If MB = 6x-9, and AM = 27, find x.

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

Answer:

x=11

Step-by-step explanation:

M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x

9x-6=6x+27 (set equal to eachother)

9x=6x+33 (add 6)

3x=33 (subtract 6x)

x=11 (divide by 3)

You might be interested in

An inscribed angle has a measure of 48°. Determine the measure of the intercepted arc.

BabaBlast [244]

An inscribed angle has a measure of 1/2 of the intercepting arc. Since our angle is 48°, we can set up the equation $48=\frac{1}{2}x$ to represent this. Divide both sides by 1/2:
$\frac{48}{\frac{1}{2}}=\frac{\frac{1}{2}x}{\frac{1}{2}}
\\ 48 \div \frac{1}{2} = x
\\ \frac{48}{1} \div \frac{1}{2} = x
\\ \frac{48}{1}*\frac{2}{1} = x
\\ \frac{96}{1}=x
\\ 96=x$
The measure of the intercepted arc is 96°.

3 0

3 years ago

If jana drives 6 hours at a speed of 60 miles/hour and 9 hours at a speed of 62 miles/hour, what is her average speed in miles/h

sergejj [24]

Answer:

c) (61.20)

Step-by-step explanation:

6*60=360

9*62=558

6+9=15

360+558=918

918/15=61.2