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Bad White [126]
3 years ago
13

What is the length of CD in the figure below? Show your work.

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

5

Step-by-step explanation:

First, notice that these two triangles are similar using AA.

Because sides BC and EC are corresponding, you can divide 24 by 8, to determine that the ratio of similitude is 3.

That means that because sides AC and DC are corresponding, 25 - 2x divided by x is 3.

25 - 2x / x = 3

25 - 2x = 3x

25 = 5x

x = 5

x is the same as side CD, so CD = 5.

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6.
abruzzese [7]

Answer:

10.50

Step-by-step explanation:

7 0
3 years ago
Seventy-eigth hundred-thousandths​
s2008m [1.1K]

The decimal number for seventy eight hundred-thousandths is 5.

<h3>What is decimal number?</h3>

A decimal is a number that consists of a whole and a fractional part

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

What is the decimal number for seventy eight hundred-thousandths?

= 78 x 10⁻⁵

<u>note</u>: a hundred thousandth = 10⁻⁵

= 0.00078

Thus, the decimal number for seventy eight hundred-thousandths is 5.

Learn more about decimal number here: brainly.com/question/1827193

#SPJ1

8 0
1 year ago
Write and solve an equation to find the measure of the unknown angle.please I am tired help
andreev551 [17]

Answer:

I believe the equation your looking for is 45+x=180!

Step-by-step explanation:

The total degrees your are going to get is 180°. You already know one angle which is 45°. So you would do 180-45 to solve the equation and find the unknown angle! Hope that helped

3 0
3 years ago
Read 2 more answers
How many license plates can be made using 2 digits then 5 letters if repeated digits and letters are not allowed?
sveta [45]
In this question, we made a license that does not allow repeated digit and letter. That means the probability count of letter and digit will be decreased by 1 for every roll.
There is 10 kinds of digits (0-9) and 26 kinds of letters (a to z). So, 2 digits and 5 letter would be:
(10 * 9) * (26 * 25 * 24 * 23 * 22)= 710424000 kinds of license plates
3 0
3 years ago
What is the equation of the translated function, g(x), if
Ivanshal [37]

Answer:

D.  g(x)  =  (x+ 4)² + 6

Step-by-step explanation:

Here, the given function is f(x)  = x²

Now,if a graph  x² is translated by (h,k) where:

h = Translation  done towards RIGHT

k = Translation  done towards UP

Then the translated equation is given as:

y =    (x-h)² + k    .... (1)

Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.

⇒  h =  - 4 and k = 6

Substituting the value of h, k in (1) , we get:

g(x) =  (x-(-4))² + 6  =  (x+ 4)² + 6  

⇒ g(x)  =  (x+ 4)² + 6

Hence,  the equation of the translated function, g(x) is g(x)  =  (x+ 4)² + 6.

3 0
3 years ago
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