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2 years ago

R, S, Q and P are the midpoints of OC, CB, BA and OA respectively.

Mathematics

1 answer:

Stolb23 [73]2 years ago

3 0

Answer:

See below.

Step-by-step explanation:

Draw segment OB.

In triangle OBC, points R and S are the midpoints of sides OC and BC, respectively. That makes RS parallel to OB.

In triangle OBA, points P and Q are the midpoints of sides OA and BA, respectively. That makes PQ parallel to OB.

Since segments RS and PQ are parallel to segment OB, then RS and PQ are parallel to each other.

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What is x if n≠m? Please help!

lorasvet [3.4K]

Answer: $x = \frac{mn(q - p)}{n-m}\\\\$

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Work Shown:

Part 1

$\frac{x-m}{m} + p = \frac{x-n}{n} + q\\\\\frac{x-m}{m} - \frac{x-n}{n} = q - p\\\\\frac{n(x-m)}{mn} - \frac{m(x-n)}{mn} = q - p\\\\\frac{xn-mn}{mn} - \frac{xm-mn}{mn} = q - p\\\\\frac{xn-mn-(xm-mn)}{mn} = q - p\\\\$

Part 2

$\frac{xn-mn-xm+mn}{mn} = q - p\\\\\frac{xn-xm}{mn} = q - p\\\\\frac{x(n-m)}{mn} = q - p\\\\x(n-m) = mn(q - p)\\\\x = \frac{mn(q - p)}{n-m} \\\\$

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Explanations:

There are quite a bit of steps. I decided to break things into two parts.
The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.
Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.
From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).
The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero.
If the formulas don't properly display, then you might have to refresh the page.

7 0

2 years ago

What is 14x-5<br> What is 22x+5

Lubov Fominskaja [6]

Answer:

14x-5=70 and 22x5=110

Step-by-step explanation:

i hope this helped have a good day

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2 years ago

Mrs. Balcon owes the dentist $342. She wants to have her payments taken from her checking account over the next 7 1/2 months. By

kiruha [24]

Answer:

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Step-by-step explanation:

She owes the dentist $342.00

you take $342.00 divided by 7.5(the amount of months)

and get $45.60 per month

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2 years ago

The inflation rate of the U.S. dollar is 3.7 percent. What this means is that every year, prices increase by 3.7 percent. If a q

Dennis_Churaev [7]

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2 years ago

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20 points helppppp which pair shows equivilent fractions

skelet666 [1.2K]

Answer:

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2 years ago

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