Answer:
x = 41°
∠1 = 123°
∠2 = 57°
Step-by-step explanation:
If angles 1 & 2 are supplementary, that means...
To find the value of each angle, you first must find the value of x by plugging in the values of both angles...
First, combine like values, then subtract add 25 to both sides.
Then, divide both sides by 5, and plug the value of x into the original equations for angles 1 & 2.
The coordinates of the vertex W are (5 , -1)
Step-by-step explanation:
In the parallelogram, the diagonal bisect each other
To find a missing vertex in a parallelogram do that:
∵ WXYZ is a parallelogram
∴ Its diagonals are WY and XZ
∵ The diagonal bisect each other
- That mean they have the same mid-point
∴ They intersect each other at their mid-point
∵ x = (-2 , -3) and z = (7 , 7)
∴ = -2 and
= 7
∴ = -3 and
= 7
- Substitute them in the rule of the mid point to find the
mid-point of XZ
∴
∴ The mid-point of diagonals WY and XZ is (2.5 , 2)
Let us use it to find the coordinates of vertex W
∵ W = (x , y) and Y = (0 , 5)
∴ = x and
= 0
∴ = y and
= 5
- Equate 2.5 by the rule of the x-coordinate of the mid-point
∵
- Multiply both sides by 2
∴ 5 = x + 0
∴ 5 = x
∴ The x-coordinate of point W is 5
- Equate 2 by the rule of the y-coordinate of the mid-point
∵
- Multiply both sides by 2
∴ 4 = y + 5
- Subtract 5 from both sides
∴ -1 = y
∴ The y-coordinate of point W is -1
The coordinates of the vertex W are (5 , -1)
Learn more:
You can learn more about the mid-point in brainly.com/question/10480770
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Answer:
Vladimir and Robyn both are correct.
Step-by-step explanation:
Let us check whether the points (-5,-3) and (10,9) are on the line or not.
The equation of the straight line passing through the given points (-5,-3) ans (10,9) is
⇒ 5(y - 9) = 4(x - 10)
⇒ 5y = 4x + 5
⇒ .............. (1)
So, Vladimir is correct.
Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).
Then, both of the points satisfy the equation (1).
Therefore, Vladimir and Robyn both are correct. (Answer)