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deff fn [24]
2 years ago
13

Triangle ABC is similar to triangle WYZ.

Mathematics
1 answer:
LenaWriter [7]2 years ago
4 0

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

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The volume of a rectangular prism with a square base is 180 in3. Its height is 5 in. Find the length of the edge of the square b
amid [387]

Answer:

l = 6 inches

Step-by-step explanation:

We have,

The volume of a rectangular prism with a square base is 180\ in^3.

Height of the prism is  5 in

It is required to find the length of the edge of the square base. Let it is l.

The formula of the volume of the rectangular prism is given by :

V=l\times b\times h

A is area of base of prism

It has a square base, l =b

V=l^2\times h\\\\l=\sqrt{\dfrac{V}{h}} \\\\l=\sqrt{\dfrac{180}{5}} \\\\l=6\ in

So, the length of the  edge of the square base is 6 inches.                  

4 0
3 years ago
Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.2​, 0.3​, and 0.5​, respectively
svetlana [45]

Answer:

Expectation number of books a customer will​ purchase  =  1.3

Step-by-step explanation:

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Expectation

E(X) = ∑x P(x)

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Expectation  E(X) =  1.3

Expectation number of books a customer will​ purchase  =  1.3

3 0
3 years ago
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of till
Cerrena [4.2K]

Answer:

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Step-by-step explanation:

If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.

3 0
3 years ago
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lara [203]

Answer:

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Step-by-step explanation:

Hope you got it.

4 0
3 years ago
ALGEBRA 2 <br> WORK MUST BE SHOWN <br> y=2x^2 -12x+11 in VERTEX form and find it’s vertex after.
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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