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3 years ago

Given: l | | m m 1 = 140° m 3 = 50° m 6 =

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

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3 years ago

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?

Minchanka [31]

Answer: $-5x^3y^3+8x^4y^2-7xy^5+x^2y^4+8x^6$

Step-by-step explanation:

$-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5$

$-5x^3y^3+8x^4y^2+(-xy^5-6xy^5)+(-2x^2y^4+3x^2y^4)+8x^6$

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3 years ago

Read 2 more answers

What Is the area of the shaded part???

Aloiza [94]

Answer: The area of the shaded region is 27.74 centimeters squared

Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.

Area of Rectangle = L x W

Area of rectangle = 8 x 7

Area of rectangle = 56

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Area of circle = Pi x r^2

Area of circle = 3.14 x 3^2

Area of circle = 3.14 x 9

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Area of shaded region is given as area of rectangle minus area of circle

Therefore, shaded region = 56 - 28.26

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3 years ago

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Step-by-step explanation:

The given information are;

The number of digits contained in the pin = 4 digits

The number of digits that can be the first number = 1 (given that the first digit is 4)

The number of digits that can be the second number = 4 (6, 7, 8, or 9)

Therefore, we have;

The number of digits that can be the third number = 10 (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9)

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Therefore, the total number of possible combinations are;

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3 years ago