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Andrews [41]
3 years ago
12

Find the length of the midsegment.

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

57

Step-by-step explanation:

The midsegment is one half the length of the third side of the triangle, that is

6x + 3 = \frac{1}{2}(3x + 87)

Multiply both sides by 2 to clear the fraction

12x + 6 = 3x + 87 ( subtract 3x from both sides )

9x + 6 = 87 ( subtract 6 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Thus

midsegment = 6x + 3 = 6(9) + 3 = 54 + 3 = 57

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4 0
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Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th
Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as \frac{bh}{2}.

Since the height is twice the base, we can substitute the value 2b in as h in the expression, making it \frac{b\cdot2b}{2}. If the area is 16, we can make the equation

\frac{b\cdot2b}{2} = 16

Now to solve for b.

\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4

Hope this helped!

3 0
3 years ago
PLEASE HELP<br><br> FIND THE LENGTH OF RS.
Gwar [14]

Answer:

A

Step-by-step explanation:

Distance between 2 points

=  \sqrt{(x1 - x2)^{2}  + (y1 - y2)^{2} }

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

=  \sqrt{ {[ - 1 -( - 4)] }^{2}  + (9 - 1)^{2} }  \\  =  \sqrt{( - 1 + 4)^{2}  + 8^{2} }  \\  =  \sqrt{ {3}^{2}  + 64 }  \\  =  \sqrt{73}  \\ = 8.54 \: (3 \: s.f.)

Thus, RS is about 8.5 units.

8 0
3 years ago
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igor_vitrenko [27]

Answer:

4000g

Step-by-step explanation:

32kg=32000g

32000/8 bowls=

4000g

3 0
3 years ago
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