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Vladimir [108]
3 years ago
13

Please help ill rate brainliest!Given that line QT is a median of triangle QRS, find RS.

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0
T is the midpoint of the side RS, therefore the segments RT and TS have the same size.
Therefore: 
RT=TS
3x+3=7x-5

we have to solve this equation: 3x+3=7x-5 to find the value of "x"

3x+3=7x-5
3x-7x=-3-5
-4x=-8
x=-8/-4
x=2

We calculate the distance of RT and TS
RT=3x+3=3(2)+3=6+3=9
TS=7x-5=7(2)-5=14-5=9

We calculate the distance of RS:
RS=RT+TS=9+9=18 u

Answer: the length of RS is 18 u 
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To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p
laila [671]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}

Solving for x:

\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

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