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BigorU [14]
2 years ago
7

FIND THE MEASUREMENT OF THE MISSING ANGLES ON THE GIVEN FIGURE BELOW AND STATE YOUR REASON

Mathematics
1 answer:
marusya05 [52]2 years ago
3 0

Answer:

Step-by-step explanation:

1) ∠1 +  ∠2 = 180    {linear pair}

    105 +∠2 = 180

            ∠2 = 180 - 105

            ∠2 = 75°

Reason: Linear pair

2) ∠3 = ∠1          {Vertically opposite angles are congruent}

   ∠3 = 105

Reason: Vertically opposite angles are congruent

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shepuryov [24]

Answer:

<em>The maximum area of the second board must be (5x^2+3x-6) square inches.</em>

Step-by-step explanation:

The total area of two different size boards cannot exceed (7x^2-6x+2) square inches.

The area of one board is  (2x^2-9x+8) square inches.

Suppose, the area of the second board is  y square inches.

That means......

y+(2x^2-9x+8)\leq 7x^2-6x+2\\ \\ y\leq (7x^2-6x+2)-(2x^2-9x+8)\\ \\y \leq 7x^2-6x+2-2x^2+9x-8\\ \\ y\leq 5x^2+3x-6

So, the maximum area of the second board must be (5x^2+3x-6) square inches.

7 0
3 years ago
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Coughing forces the trachea (windpipe) to contract, which in turn affects the velocity of the air through the trachea. The veloc
Rzqust [24]
To find the maximum velocity you have to differentiate the function respect to r.

v = k(R - r)r^2 = kRr^2 - krr^2 = kRr^2 - kr^3

k and R are constants.

=> v' = 2kRr - 3kr^2 = kr(2R - 3r)

maximum velocity => v' = 0 => kr(2R - 3r) = 0

r = 0 or 2R - 3r = 0 => r = 2R / 3

Answer: r = 2R / 3




8 0
3 years ago
Answer this please and the first person to do it will get Branilest !! Don’t forget to explain
Mandarinka [93]

Answer:

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7 0
3 years ago
The difference of 21 and 16​
pogonyaev

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6 0
3 years ago
What is the midpoint of the line segment with endpoints(-2,-2) and (4,6)
Ann [662]

Answer:

The midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

Step-by-step explanation:

Given points are (-2,-2)\ and\ (4,6). We need to find the midpoint of the line segment.

The formula of finding midpoints between the point (x_1,y_1)\ and\ (x_2,y_2) is

(\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)

W have points (x_1,y_1)=(-2,-2). And (x_2,y_2)=(4,6)

Let us plug the value in Equation (1)

(\frac{-2+4}{2} ),(\frac{-2+6}{2})

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So, the midpoint of points (-2,-2)\ and\ (4,6) is (1,2).

3 0
3 years ago
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