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Ivenika [448]
3 years ago
8

AABC - ADEF Find the value of x

Mathematics
2 answers:
Nitella [24]3 years ago
7 0

Answer:

4

Step-by-step explanation:

ΔABC ~ ΔDEF

AB/DE = BC/EF

x/3 = 8/6

Cross multiply.

6 × x = 3 × 8

6x = 24

Divide both sides by 6.

(6x)/6 = 24/6

x = 4

kobusy [5.1K]3 years ago
4 0

Answer:

\boxed{x = 4}

Step-by-step explanation:

If ΔABC ~ ΔDEF

Then their sides must be proportional such that:

=> \frac{x}{3} = \frac{8}{6}

Cross Multiplying

=> x * 6 = 8*3

=> 6x = 24

Dividing both sides by 6

=> x = 4

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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

0.3\bar1=0.31111...

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

3.1-0.3=9n

Subtract:

2.8=9n

Divide both sides by 9:

n=2.8/9

Remove the decimal by multiplying both sides by 10:

n=28/90

Reduce:

n=14/45

And we're done!

Use a calculator to check:

14/45\stackrel{\checkmark}{=}0.31111...

7 0
3 years ago
What is the difference between -3 and 7? *
Murrr4er [49]

Answer:

4

Step-by-step explanation:

Hope this helped

6 0
3 years ago
Read 2 more answers
Click an item in the list of groups of pictures at the bottom of the problem and, holding the button down, drag it into the corr
tankabanditka [31]

An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of an exponential function is given by the formula,

y = A (B)ˣ

Now as per the graph, there are two points (1, 50) and (2, 25).

50 = A (B)¹

50 = AB

A = 50/B

Substitute another point in the equation,.

25 = A (B)²

25 = (50/B) (B)²

25 = 50B

B = 0.5

Substitute the value of B,

A = 50/0.5 = 100

Hence, the equation of the exponential graph is A=100(0.5)ˣ.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

3 0
2 years ago
Please please help !!! will give brainliest to first correct answer
Oksi-84 [34.3K]

Answer:

[See Below]

Step-by-step explanation:

❶ It is irrational because to make it repeating it must be <u>EXACT</u>. In this case it is adding a 0 after every 1. So it'd be irrational since it doesn't have an end.

❷ Irrational because no one knows the end of pi. It doesn't have an ending so therefore irrational.

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

3 0
3 years ago
Hector bought 6 bottles of juice for $2.40. At that rate, what is the cost of: 1 bottle, 3 bottles, 5 bottles?
Zinaida [17]

Answer:

1 bottle: $0.40

2 bottle: $1.20

5 bottle: $2.00

Step-by-step explanation:

6 0
3 years ago
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