Answer:
b
Step-by-step explanation:
the graph gets translated 5 units above its parent graph of y = x
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)

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
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 
The sample mean was determined to be 320.
It can be written as 
<h3>To find the standard error of the mean :</h3>
The formula for the standard error of the mean is given by

Now substitute the values in the formula we get




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