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Darina [25.2K]
2 years ago
7

Exterior angle theorem

Mathematics
1 answer:
Ivanshal [37]2 years ago
7 0

m1 = 79 + 58

m1 = 137

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13. The equation of line l is given as y = 0.6x – 4.
Luden [163]

Answer: 16.6

Step-by-step explanation:

a = slope = 0.6

b = y-intercept = -4

c = x intercept = 20/3. (Set y=0 and solve for x)

So, a+b+3c = 0.6 - 4 + 3*20/3 = 16.6

3 0
3 years ago
Place the indicated product in the proper location on the grid. (x + y)(x2 - xy + y2)
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Step-by-step explanation:

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Determinar el área de un hexágono que esta inscrito en una circunferencia de 4 unidades de radio
Dmitrij [34]

Answer:

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6 0
2 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
What is the slope of (-3,-6) and (4,7)​
Gelneren [198K]

Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

3 0
3 years ago
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