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klio [65]
4 years ago
12

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E

Mathematics
1 answer:
Gekata [30.6K]4 years ago
5 0

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.  

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

  • Triangle CBA is similar to Triangle FED. (Option A)

Also,

  • Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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Answer:

D. 10

Step-by-step explanation:

Given f(x)=3x-8

f(6)=3(6)-8

f(6)=18-8

f(6)=10

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Carlos has a $5 bill. If he buys an eggplant, how much
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Answer:

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4 years ago
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√125x^4y^2<br> simplify square roots
mamaluj [8]

Answer:

5 x2 • sqrt(5y)

Step-by-step explanation:

Factor 125 into its prime factors

125 = 53

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

25 = 52

Factors which will remain inside the root are :

5 = 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

5 = 5

At the end of this step the partly simplified SQRT looks like this:

5 • sqrt (5x4y)

STEP

2

:

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

(1) variables with no exponent stay inside the radical

(2) variables raised to power 1 or (-1) stay inside the radical

(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

(3.1) sqrt(x8)=x4

(3.2) sqrt(x-6)=x-3

(4) variables raised to an odd exponent which is >2 or <(-2) , examples:

(4.1) sqrt(x5)=x2•sqrt(x)

(4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

SQRT(x4y) = x2 • SQRT(y)

Combine both simplifications

sqrt (125x4y) =

5 x2 • sqrt(5y)

Simplified Root :

5 x2 • sqrt(5y)

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3 years ago
What is the distance between the pivot point and the marking point of a compass when drawing a circle?
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The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
timurjin [86]
75 miles

8/5 = 120/x
cross multiply and complete
4 0
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