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VARVARA [1.3K]
3 years ago
8

Which statements must be true?

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

CB || XY

AB || XZ

CA=\frac{1}{2}YZ (This wasn't an option you listed, but my test offered it)

Step-by-step explanation:

Verified correct with test results.

iVinArrow [24]3 years ago
5 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file:

Using the formula for Mid-point:

\bar{AB} || \bar{XZ} \\\\CA= \frac{1}{2} \ YZ\\\\\bar{CB} |||\bar{XY}

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A square tabletop has an area of
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s = 3x - 15 is the required expression for perimeter of table top

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<em><u>Solution:</u></em>

A square tabletop has an area given as:

(9x^2 - 90x+225) cm^2

The dimensions  of the tabletop have the form cx - di  ,where cand d are whole numbers

To find perimeter of tabletop when x = 25 centimeters

Let us first find the length of each side of square

<em><u>Given area is:</u></em>

area = (9x^2 - 90x+225)

We know that,

area = (side)^2 = s^2

Therefore,

s^2 = (9x^2 - 90x+225)\\\\s^2 = (3x - 15)(3x - 15)\\\\s^2 = (3x - 15)^2

Taking square root on both sides,

s = 3x - 15

The above expression is the required expression for perimeter of table top

<em><u>To find perimeter when x = 25 centimeter</u></em>

<em><u>The perimeter of square is given as:</u></em>

perimeter = 4s

perimeter = 4(3x - 15)

Substitute x = 25

perimeter = 4(3(25) - 15)

perimeter = 4(60) = 240

Therefore perimeter of square tabletop is 240 cm

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