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Readme [11.4K]
2 years ago
7

Identify which line from the graph the following right triangles could lie on.

Mathematics
1 answer:
qaws [65]2 years ago
7 0

Answer:

Step-by-step explanation:

Slope of line A = \frac{\text{Rise}}{\text{Run}}

                         = \frac{9}{3}

                         = 3

Slope of line B = \frac{9}{6}

                         = \frac{3}{2}

Slope of line C = \frac{6}{8}

                         = \frac{3}{4}

5). Slope of the hypotenuse of the right triangle = \frac{\text{Rise}}{\text{Run}}

                                                                                = \frac{90}{120}

                                                                                = \frac{3}{4}

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = \frac{30}{10}

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = \frac{18}{24}

                                        = \frac{3}{4}

Given triangle may lie on the line C.

8). Slope of hypotenuse = \frac{21}{14}

                                        = \frac{3}{2}

Given triangle may lie on the line B.

9). Slope of hypotenuse = \frac{36}{24}

                                        = \frac{3}{2}

Given triangle may lie on the line B.

10). Slope of hypotenuse = \frac{48}{16}

                                          = 3

Given triangle may lie on the line A.

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Hardy has three times as many tennis balls as kerns. They have 940 tennis balls in all. How many tennis balls does Hardy have th
topjm [15]

Answer:

Hardy has 470 more tennis balls than Kerns.

Step-by-step explanation:

Given that:

Total number of tennis balls = 940

Let,

x represents the number of tennis balls Hardy has.

y represents the number of tennis balls Kerns has.

According to given statement,

x+y=940     Eqn 1

x = 3y         Eqn 2

Putting x = 3y in Eqn 1

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4y=940

Dividing both sides by 4

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Putting y=235 in Eqn 2

x = 3(235)

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Difference = Hardy's tennis balls - Kerns' tennis balls

Difference = 705 - 235 = 470

Hence,

Hardy has 470 more tennis balls than Kerns.

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