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VMariaS [17]
3 years ago
6

State what additional information is required in order to know what the triangles are congruent by SSS

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

SSS is 3 sides, you already know EF and DW are identical and the two triangles share side DF, so you would need to know that ED ≅ WF

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Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$43 thousand less than twice that of an
natka813 [3]

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

6 0
3 years ago
PLEASE HELP ME!!
Natali [406]

First put your numbers in order from least to greatest (These are negative numbers so that means that the smallest number is the one farthest away from zero)

-49, -43, -39, -18, -14, -12, -9

Mean is adding all the numbers together and dividing the sum by how many numbers there are in the data set

-49 + (-43) + (-39) + (-18) + (-14) + (-12) + (-9) = -184

There are seven numbers so divide -184 by 7:

-184 ÷ 7 ≈ 26.29

Median is the number in the middle. Take away the smallest number and the biggest number on each layer until you get to the middle

-49, -43, -39, -18, -14, -12, -9

       -43, -39, -18, -14, -12

              -39, -18, -14

                      -18 <-------------------Median

Mode is whatever number appears the most often in the data. In this case all the numbers appear only once so there is no mode

Range is subtracting the largest number by the smallest number

-9 - (-49) = 40

2. Data in order

13, 13, 13, 15, 21, 23, 25, 37

Outlier is the number that is a number that is rather far from the other number in the data

a. In this case the outlier is 37

b. 13 + 13 + 13 + 15 + 21 + 23 + 25 + 37 = 160

160 ÷ 8 = 20

c. 13 + 13 + 13 + 15 + 21 + 23 + 25  = 123

123 ÷ 7 = 17.57

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
Read 2 more answers
What is the simplified value of the exponential expression 16^1\4
Natalka [10]

If you observe that 16 = 2^4, you can rewrite the expression as

16^{\frac{1}{4}} = (2^4)^{\frac{1}{4}}

Now, if you use the exponent rule (a^b)^c = a^{bc}, you may rewrite the expression again:

(2^4)^{\frac{1}{4}} = 2^{4\cdot\frac{1}{4}} = 2^1 = 2

6 0
4 years ago
Which of the following are quadratic functions?<br> Check all that apply.
Elanso [62]
B and c, anything with an x^2 term is a quadratic.
8 0
4 years ago
Read 2 more answers
A company is planning to manufacture snowboards. The fixed costs are $ 100$100 per day and total costs are ​$55005500 per day at
Rama09 [41]

Answer:

The equation for total cost function is

C(x)=100+270x

Step-by-step explanation:

Variable cost per per board =total cost per day-fixed cost per day/daily output

total cost per day is $5,500

fixed cost per day is $100

20 boards are produced per day

variable cost per board=($5,500-$100)/20=$270 per day

Total cost C(x)=fixed cost per day+ variable per board*number of daily output

Since daily output is represented also by x ,total cost function is given thus:

C(x)=100+270x

4 0
3 years ago
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