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Allisa [31]
3 years ago
12

What’s the Value for k?

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

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Rectangle ABCD is reflected over the y-axis. What rule shows the input and output of the reflection, and what is the new coordin
Vitek1552 [10]

Solution:

As given Rectangle ABCD is reflected over the y- axis.

When a shape or geometrical figure is reflected through a line it's distance that is distance of image from line and distance of Pre-image from that line is always same.Also perpendicular distance of vertices of any polygon that is considered for reflection has same distance from that line after reflection and before reflection.

Suppose the coordinate of A be (x,y) and considering Rectangle A B CD lie in first quadrant then when it is reflected through y - axis that is through the line x=0, it's new coordinate will become A' (-x,y).

If rectangle is in second quadrant having Vertices that is vertices of A (-x,y) then reflected over line that is x=0,→ y axis then Vertices of A' (x,y).

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6 0
3 years ago
F(x)=3/x+2-√x-3 f(7)=
Paladinen [302]

Divide each term by x and simplify.

(Ok so I don’t make it confusing the first part after “F=“ will be on top The I’ll put the bottom part below oh btw the top and bottom r negative so put the negative sign in front of the fraction)

F= - 21fx+x√x-2x-3(top of fraction)

F=-x^2(bottom of fraction)

6 0
3 years ago
Please help it's due today!!!!!!
BlackZzzverrR [31]

Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

6 0
3 years ago
Question within image.
julia-pushkina [17]

1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram

2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees

6 0
2 years ago
What is the value of the expression 83?
jarptica [38.1K]

Answer:

83+11_

Step-by-step explanation:

5 0
3 years ago
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