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Sergeu [11.5K]
3 years ago
10

The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain

or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
<span>49+576=625 81+1600=1681</span>
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HELP MEEEEE PLEASEEEEEE
Sindrei [870]

Answer:

x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}

Then

\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}

From the similarity of triangles,

\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}

6 0
4 years ago
Please hurry will give Brainliest answer please quick
Keith_Richards [23]
Y is the answer so thank me later
4 0
3 years ago
Read 2 more answers
1 2/5m-3/5(2/3m+1) pls help me I need to simply it
tamaranim1 [39]

In fraction form: -(3/5)

Decimal form: -0.6

Hope this helps!

8 0
3 years ago
A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim
diamong [38]

The function H(t) = -16t^2 + 64t exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists -16t^2 + 64t = 0

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

H(t) = -16(2^2) + 64(2)

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

#SPJ4

8 0
2 years ago
Convert.<br><br> 32 ft = <br> yd <br> ft Helpp
Nadusha1986 [10]

Answer:

10.667 yards

Step-by-step explanation:

7 0
3 years ago
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