Answer: What is the complete question? Can you comment it?
Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.
Answer:
Please check the explanation.
Step-by-step explanation:
The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)
a = x₁ + x₂ / 2
b = y₁ + y₂ / 2
Given that the midpoint of AB is (4, -3).
i.e. (a, b) = (4, -3)
Given that A has coordinate (1, 5).
i.e. (x₁, y₁) = (1, 5)
We have to determine the coordinates of B.
i.e. (x₂, y₂) = B
Thus,
4 = (1 + x₂)/2
(1 + x₂) = 4 × 2
1 + x₂ = 8
x₂ = 7
and
-3 = (5 + y₂)/2
(5 + y₂) = -3 × 2
5 + y₂ = -6
y₂ = -11
so (x₂, y₂) = (7, -3) = B
Thus, the coordinates of B = (x₂, y₂) = (7, -3)
Therefore,
x₂ + y₂ = 7 + (-3)
= 7 - 3
= 4
Hence, the value of x₂ + y₂ = 4
I’m not sure if your asking for the solution, but Hope this helps!
Answer:
z = 70°
y = 103°
Step-by-step explanation:
From the picture attached,
110° + z° = 180° [Supplementary angles]
z = 180 - 110
z = 70°
Since sum of interior angles of a polygon = (n - 2)×180°
where n = number of sides of the polygon
For a quadrilateral (n = 4),
Sum of interior angles = (4 - 2) × 180°
= 360°
z° + y° + 100° + 87° = 360°
70° + y° + 187° = 360°
y = 103°
Therefore, measure of the angles x = 70° and y = 103°.
