All categories

4 years ago

Point m is the midpoint of segment QR. If QM=16+x and MR=2(2x+2), find the length of QM

Mathematics

2 answers:

dimulka [17.4K]4 years ago

6 0

Answer:

Q=20 that's the answer

Step-by-step explanation:

zhannawk [14.2K]4 years ago

4 0

Answer: $QM=20$

Step-by-step explanation:

1. By definition, the midpoint is the point of a segment where it is divided into two equal segments.

2. Keeping the definition above on mind, if $QM=16+x$ and $MR=2(2x+2)$ , you can calculate the lenght of $QM$ as following:

- Equal both equations:

$16+x=2(2x+2)$

- Solve for $x$ :

$16+x=2(2x+2)\\16+x=4x+4\\16-4=4x-x\\12=3x\\x=4$

- Substitute the value of $x$ into $QM=16+x$ :

$QM=16+4=20$

You might be interested in

Kindly answer this one. Thank you.

steposvetlana [31]

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦ The midline's length is the average of the lengths of the top and bottom parallel sides.

$AL=\frac{OR+CE}{2}$

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

$x=\frac{9+5}{2}=7$

2. AL = <em>m</em> - 4, CE = 15, OR = 17

$m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16$

3. OR = y + 5, AL = 15, CE = 18

$15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12$

4 0

3 years ago

This rectangle has 9 straight Lines and 14 squares.<br><br> Can you find them?

juin [17]

Answer:two dimensional shapes

Step-by-step explanation:

7 0

3 years ago

Luke is building a bike ramp. The ramp is going to be 3 feet tall on the high end and 6 feet long. How long is the base of the r

eimsori [14]

Answer: 5.1961

Step-by-step explanation: I believe you would use the Pythagorean’s theorem, since it’s a problem about a ramp, always draw pictures for word problems. So you would plug your numbers in the formula and solve. 3 squared plus B squared (that’s what we are trying to find so its a variable) equals 6 squared. Then you square and it becomes 9 + b2= 36, subtract 9 on both sides, b2=27, then square root on both sides to get 5.1961. Hopefully that’s right. :)

7 0

4 years ago

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost

masya89 [10]

X=the total amount of pounds of peaches bought Y=the total cost....the equation would be y=2x

7 0

4 years ago

Solve for x. Round answer to the nearest tenth

denis23 [38]

Answer:

Hiiiii ,i neeeeeed your help :

b) Match the lines from the song with the corresponding events and dates in American history.

Thaaaaaaaaanks you veryyyyyy veryyyyy muuuuuuuch

8 0

3 years ago