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10 months ago

Given:B is the midpoint of AC. Complete the statement. If AB = 7,then BC = _, and AC = .

Mathematics

1 answer:

Alex73 [517]10 months ago

5 0

Midpoint

We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.

This can be visualized as follows:

Since AB=7, then BC = 7 and AC=AB+BC = 14

Answer: BC = 7, and AC=!4

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Answer:

x = 13

Arc RQ = 180°

Step-by-step explanation:

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2 years ago

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Find the measure of angel 3

Elena-2011 [213]

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens

Arc1 = 60

Arc2 = 100

Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

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3 years ago

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3 years ago

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The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c

Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = $\frac{1}{2} \times3=\frac{3}{2} \ cm$

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = $\frac{1}{3}\ of\ length$

$3=\frac{1}{3}\times length$

By multiplying both sides by 3

$3\times3=\frac{1}{3} \times3\ length\\9= length\\$

Thus, length of prism = 9 cm

Now, as we know:

$Volume\ of\ rectangular\ prism=length\times breadth\times height$

$=9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm$

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0

3 years ago

Given:B is the midpoint of AC. Complete the statement. If AB = 7,then BC = _____, and AC = ____.

Given:B is the midpoint of AC. Complete the statement. If AB = 7,then BC = _, and AC = .