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Olegator [25]
3 years ago
9

Are the triangles similar? ​

Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.

Hope this helps !

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Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?
svetlana [45]

Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.

<h3>How to graph a transformed function</h3>

Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.

The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.

To learn more on functions: brainly.com/question/12431044

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5 0
1 year ago
What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You facto
ZanzabumX [31]

Answer:

Step-by-step explanation:

1

6 0
3 years ago
Suppose that 30% of all houses need a paint job. Also, 15% of all houses need both a paint job and a new roof. Further, 7% of al
ivann1987 [24]

Answer:

0.0105

Step-by-step explanation:

given that 30% of all houses need a paint job. Also, 15% of all houses need both a paint job and a new roof. Further, 7% of all houses that need a new roof also need new windows.

If total houses are 100, then 30 require a paint along.  15 require both paint and new roof.

Out of 15 houses which require new roof 7% need new windows

i.e. no of houses which need new windows = 15*7%\\=1.05

If there are total 100 houses, 1.05 houses require a new window

So probability that a randomly selectede house needs a new window

= 0.0105

8 0
2 years ago
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yell
Viktor [21]

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

5 0
3 years ago
How to find the Perimeter?
SOVA2 [1]

Answer:

8+2\sqrt{20\\}\\

Step-by-step explanation:

2+2+2+2+\sqrt{20\\}\\+\sqrt{20\\}\\=8+2\sqrt{20\\}\\

4^2+2^2=h^2

20=h^2

h=\sqrt{20\\}\\

7 0
3 years ago
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