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Rufina [12.5K]
3 years ago
6

One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical side of

15 and a horizontal side of 33.
Could the hypotenuses of these two triangles lie along the same line?

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

The two triangles are <em>similar</em> because they have:

  • a common angle (90°)
  • corresponding sides with lengths in a 3:1 ratio

All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.

Then the hypotenuses of each triangle will lie along the same line.

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What is the period of y=2cos(3x-2π)?
Strike441 [17]

y=2\cos(3x-2\pi)\\\\\text{The period of a cosine is}\ 2\pi.\\\\P-period\\\\2\cos(3(x+P)-2\pi)=2\cos(3x-2\pi)\qquad\text{divide both sides by 2}\\\\\cos(3x+3P-2\pi)=\cos(3x-2\pi)\iff3x+3P-2\pi=3x-2\pi+2\pi\\\\3x+3P-2\pi=3x\qquad\text{subtract 3x from both sides}\\\\3P-2\pi=0\qquad\text{add}\ 2\pi\ \text{to both sides}\\\\3P=2\pi\qquad\text{divide both sides by 3}\\\\\boxed{P=\dfrac{2\pi}{3}}\\\\Answer:\ \boxed{D.\ \dfrac{2\pi}{3}}

3 0
3 years ago
I need to find the volume of the cube using v=l*w*h
dimulka [17.4K]
3(x+5) each side is x+5 so times that by 3. Distribute the 3 to both the x and the 5 to get 3x+15.
6 0
3 years ago
Read 2 more answers
Please helpp will give brainliest
Alla [95]
Answer :

Length of rectangle = 14m

Width of rectangle = 12m

Explanation :

p = 2l + 2w = 68

l = w + 2

Substitute:

68 = 2(w + 2) + 2w

68 = 2w + 4 + 2w

4w = 64

w = 16

l = 18


I hope this helped out, have a nice day! :D



(P.s. Both taken from source)

8 0
3 years ago
Evaluate the expression if g=2, r=3, and t=11. <br> g + 6t
Paraphin [41]

Answer:

88

Step-by-step explanation:

So if g=2 and t =11 the equation would be

2+6x11

2+6=8      8x11=88

8 0
2 years ago
Solve, using linear combination.
alexandr1967 [171]
P - q = 8.....multiply by -1
2p - q = 19
----------------
-p + q = -8 (result of multiplying by -1)
2p - q = 19
---------------add
p = 11

now we sub 11 in for p in either of the original equations to find q
p - q = 8
11 - q = 8
11 - 8 = q
3 = q

so ur solution is (11,3)
3 0
3 years ago
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