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Drupady [299]
3 years ago
9

Name the similar triangles

Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

abc-fed

Step-by-step explanation:

First, compare the two triangles:

-<em>we can see the two triangles contain very similar details.</em>

Look at A and see what angle is similar on the other:

-<em>it's F</em>

Now, we know that the triangle is going to start with F, meaning we can cross out the first 3 options from our list and make option 4 our answer.

hope this helps :)

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Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

7 0
2 years ago
A $20 shirt was 30% off and you had a coupon for another 10% off. What is the new price?
laila [671]

Answer:

$12.60 is the new price!

Step-by-step explanation:

20 x 0.7 = 14

14 x 0.9 = 12.6

Hope this helped!

4 0
3 years ago
Read 2 more answers
Convert the measurements as indicated 4^1/4 ft to inches
Nadya [2.5K]

Answer:

Step-by-step explanation:

if it is (4)^(1/4) ft.

4^{\frac{1}{4} } =(2^2)^{\frac{1}{4} }\\=2^{\frac{2}{4} }\\=\sqrt{2} ft\\=12\sqrt{2} ~inches.\\\approx 16.97 inches

if it is (4^1)/4

then

\frac{4^1}{4} =\frac{4}{4} =1 ~ft=12~inches

3 0
3 years ago
What is the square root of m^6?
Nastasia [14]
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

4 0
3 years ago
A warehouse received a shipment of 368 bicycles. Each bicycle is in a large box. The boxes are stored in 8 rows. How many boxes
diamong [38]
The are 46 boxes in each row
6 0
3 years ago
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