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beks73 [17]
3 years ago
15

In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

\frac{AP}{AQ} = \frac{PB}{QC} = \frac{15}{24} = \frac{5}{8} , then

\frac{PB}{QC} = \frac{5}{8} ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

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Plug in any number for x

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Archy [21]

Answer:

Volume: 112 m³.

Surface area: 172 m².

Step-by-step explanation:

The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.

The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.

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3 years ago
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Pepsi [2]

The 5x5 square  grid has 6 , 2 x 2 subgrids and the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12.

<h3>What is a Square ?</h3>

A square is a polygon with four sides and all the sides are equal and parallel and all the angle value is 90 degree.

(a) The 5x5 square  grid has 6 , 2 x 2 subgrids.

(b) the least value of n for which you can be certain that it will have a 2 x 2 subgrid of grey squares is 12

as it can be understood from the figure 2 that only the last square doesn't have a pair and the rest all does

more than that will be extra but 12 will be enough to make all the grey squares of 2 x 2 subgrid .

To know more about Square

brainly.com/question/14198272

#SPJ1

4 0
1 year ago
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