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Answer:</h2>
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Step-by-step explanation:</h2>
We use the concept of inequality to refer to values that are different. To solve this type of problems we need to use the symbols:
In this problem, Megan is making quilts that require 11 feet of cloth each. We also know that she has 50 feet of cloth. So the maximum quilts she can make is:
Writing this using inequalities, she can make:
Since 4.54 is a real number and since quilts need to be represented with whole numbers, we can say that she can make 1, 2, 3, or 4 quilts.
Answer:
f'(12)= 5
Step-by-step explanation:
Use the data in the table to approximate f ′(12).
x 3 4 7 11 13
f(x) 2 8 10 12 22
f'(12) is nothing but the slope at x=12
To find slope at x=12 we two points from the table x=11 and x=13
(11,12) and (13,22)
Slope formula =
(11,12) is (x1,y1) and (13,22) is (x2,y2)
f'(12) =
so f'(12)= 5
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
sum the 4 angles and equate to 360
x + 2x + 1 + 50 + 30 = 360 , that is
3x + 81 = 360 ( subtract 81 from both sides )
3x = 279 ( divide both sides by 3 )
x = 93
Then
∠ A = 2x + 1 = 2(93) + 1 = 186 + 1 = 187°
∠ B = x = 93°
Answer:
x =4 and y =1
Step-by-step explanation:
Triangle ADB is an equilateral triangle that means the side a 3 unit each
so,
y + 2 = 3
y = 1
Triangle DBC is an isosceles triangle that means two legs are equal
So,
y + 2 = x -1
we already know that y+2 = 3
So,
3 = x -1
4 = x
All you do is multiply and divide and yuor answer will be 7 ]