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Alja [10]
3 years ago
6

What is the measure of each angle?

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

The measure of the angles are 46, 89, and 41 degrees.

Step-by-step explanation:

In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.

x + 2x - 3 + x - 5 = 180

4x - 8 = 180

4x = 188

x = 46

Now we can find the value of each angle using the value of x.

Angle 1:

x = 46

Angle 2:

2x - 3

2(46) - 3

92 - 3

89

Angle 3:

x - 5

46 - 5

41

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Tim just took a job working for a software company. His contract states he will receive an annual salary of $61,500 and be paid
PilotLPTM [1.2K]

Answer:

$3,722.875

Step-by-step explanation:

It was stated that the $61,500 would be payed to Tim annually, therefore before we can calculate the deductions we would first have to divide the annual pay by 12 (months in a year). You would then find that Tim receives $5,125 each month. The total value of the deductions would be 21.7% ( 6.2 + 1.5 + 3 + 11 = 21.7). 21.7% of 5,125 is 1,112.125 therefore, we would subtract this value and the value for the insurance from his monthly pay to find his net paycheck per month [5,125 - (1,112.125 + 290) = $3,722.875]

3 0
2 years ago
George had one sheet of paper. He cut it into 6" x 5", and 3" x 6". What were the dimensions and total area of his original shee
Deffense [45]

Answer:l={8}'' ,b={6}'',l={6}'' ,b={8}''

and area is=48 inch square

Step-by-step explanation:

area of sheet=l\times b

area of sheet first={6}''\times {5}''

=30 inch square

area of sheet second={3}''\times {6}''

=18 inch square

total area of both sheet=30+18

=48 inch square

area of sheet=l\times b

=48 inch square

l={6}'' ,b={8}''

or

l={8}'' ,b={6}''

perimeter of sheet

=2\left ( l+b \right )

=2(6+8)

={28}''

3 0
3 years ago
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A quadratic model is fitted to a set of data that has a quadratic trend. What can be
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Answer: C & D

Step-by-step explanation:

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3 years ago
For f(x)= x+5 and g(x)=4x+2 <br> find (fog)(x) And (gof)(x)
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Composing functions means that the input of the outer functions is the output of the inner function.

In fact, you can rewrite the circle notation as

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So, we can substitute g(x) with its expression:

(f\circ g)(x)=f(g(x))=f(4x+2)

And since f(x)=x+5, we simply have to add 5 to its input:

f(4x+2)=(4x+2)+5=4x+7

Similarly, we have, substituting f with its expression,

(g\circ f)(x)=g(f(x))=g(x+5)

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:

g(x+5)=4(x+5)+2=4x+20+2=4x+22

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3 years ago
A scale drawing of a patio is shown at right. The scale is 3 inches : 5.2 feet. What are the length and width of the patio? Find
ANTONII [103]

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