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telo118 [61]
3 years ago
7

Y is between X and Z on a line. XZ = 15 and XY = 10. What is the length of YZ?

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

5

Step-by-step explanation:

if xz is 15 and xy is 10 then we can infer that z is 10 and x is 5

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How are the functions y = x and y = x+ 5 related? How are their graphs related?
sesenic [268]

Answer:

b

Step-by-step explanation:

the graph gets translated 5 units above its parent graph of y = x

6 0
2 years ago
Please help me as fast as you can. thanks
Angelina_Jolie [31]

Answer:

<h2><DEF = 40</h2><h2><EBF = <EDF = 56</h2><h2><DCF = <DEF =40</h2><h2><CAB = 84</h2>

Step-by-step explanation:

In triangle DEF, we have:

<u>Given</u>:

<EDF=56

<EFD=84

So, <DEF =180 - 56 - 84 =40 (sum of triangle angles is 180)

____________

DE is a midsegment of triangle ACB

( since CD=DA(given)=>D is midpoint of [CD]

and BE = EA => E midpoint of [BA] )

According to midsegment Theorem,

(DE) // (CB) "//"means parallel

and DE = CB/2 = FB =CF

___________

DEBF is a parm /parallelogram.

<u>Proof</u>: (DE) // (FB) ( (DE) // (CB))

AND DE = FB

Then, <EBF = <EDF = 56

___________

DEFC is parm.

<u>Proof</u>: (DE) // (CF) ((DE) // (CB))

And DE = CF

Therefore, <DCF = <DEF =40

___________

In triangle ACB, we have:

<CAB =180 - <ACB - <ABC =180 - 40 - 56 =84(sum of triangle angles is 180)

HOPE \:  THIS \:  HELPS.. GOOD  \: LUCK!

7 0
3 years ago
Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expres
love history [14]

Answer:

C = 299x + 59.99y + 29.99z

Step-by-step explanation:

An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc

Fo mentioning an algebraic expression, we do have following components

x = number of consoles purchased

y = number of games purchased

z = number of controllers purchased

C = total cost

Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above

So, the algebraic expression is

C = 299x + 59.99y + 29.99z

3 0
3 years ago
A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sampl
jeka94

Answer:

<h3>The standard error of the mean is <u>15</u></h3>

Step-by-step explanation:

Given that a simple random sample of 64 observations was taken from a large population.

Hence it can be written as n=64

The population standard deviation is 120.

It can be written as \sigma_{\overline{X}}=120

The sample mean was determined to be 320.

It can be written as \overline{X}=\mu =320

<h3>To find the standard error of the mean :</h3>

The formula for the standard error of the mean is given by

\sigma_{\overline{X}}=\frac{\sigma}{\sqrt{n}}

Now substitute the values in the formula we get

\sigma_{\overline{X}}=\frac{120}{\sqrt{64}}

=\frac{120}{8}

=15

\sigma_{\overline{X}}=15

<h3>∴ The standard error of the mean is 15</h3>
3 0
3 years ago
What is 3 to the third power divided by 3 to negative 4th power
skad [1K]

Answer:

Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

Step-by-step explanation:

8 0
3 years ago
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