A trapezoid with an area of 45 square units is plotted on the coordinate plane. This trapezoid can be decomposed into a rectangle and right triangle. The vertices of the rectangle are located at the points (–6, –2),(–6, 3), (1,3), and (1,–2). Write two possible coordinates for the last vertex of the trapezoid that have different x-coordinates. Show your work in the space below or on the coordinate plane.

Answers

Answer 1

Answer: We know that the trapezoid can be decomposed into a rectangle and a right triangle. The rectangle has two sides with length 7 (the difference between the y-coordinates of the top and bottom vertices) and 8 (the difference between the x-coordinates of the right and left vertices), so its area is 56 square units. Therefore, the area of the right triangle is 45 - 56 = -11 square units, which is impossible. Hence, there must be an error in the problem statement or in the way it was transcribed. Without additional information, it is not possible to provide two possible coordinates for the last vertex of the trapezoid that have different x-coordinates.

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An angle measures 12° less than three times it’s supplement. Find the measure of the angle

Answers

Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!

I need help pleeeeeaaaaasssseeeee

Answers

15 units is the area

The formula for finding Area is, Length x Width.
In this case the length is 5 and the width is 3.
Multiply them and you’ll get 15.
Hopefully that helped :)

Screen shot for math

Answers

Answer:

18. 150

19. They are not congruent

20. 60

Step-by-step explanation:

18. <EBC is 180 degrees so subtract by 30 because of angle F lowering the degree number by 30 and you get 150 degrees.

19. They are not congruent because they are not the same degree number and they aren't complementary because they don't equal 90 degrees. They aren't supplementary because they don't equal 180 degrees.

20. You get this by writing the equation 90-30 because angle F raises which lowers the angle dregree number by 30. So 90-30=60. Therefore, the answer is 60.

Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians and 7/4 pi radians

Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer

Answers

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by 7

x= 63/7

x= 9 months

If you can please help me with this question~ the question is the image :)

Answers

Answer:

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

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