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Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Line R would be the line of reflection for the above picture.

The reason why it is is that the two arrows are both equal distance away from each of the arrows. The line of reflection always has each picture equal distance away from each other.

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Please hurry! How is the area of a rectangle related to the area of a triangle?

cricket20 [7]

The area of a rectangle is Base x height whereas the area of a triangle is Base x height divided by 2

5 0

3 years ago

The first four stripes on a wall with 100 stripes are red , blue, white, and purple, These four colors repeat in the same order.

liubo4ka [24]

Answer: the 55th stripe is white

Step-by-step explanation:

The first four stripes on a wall with 100 stripes are red , blue, white, and purple. The four colors repeat in the same order. This means that Red always follow blue which is followed by white and then purple. This means that red would always start each new and consecutive set of four stripes and purple will always end it

We want to determine the 55th stripe. The last four stripes that include 55 ends with the 56th stripe. This means that the 56th stripe is purple. Therefore, the 55th stripe would be white because it follows purple.

3 0

3 years ago

A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s

Pepsi [2]

Answer:

$3\sqrt{3} + 72$

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

$9 \times 8 = 72ft^{2}$

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

$\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}$