Answer:
x + y = 112.5°
Step-by-step explanation:
Step 1 : To find x:
Number of sides in a given regular polygon, n = 8
Each of the angles around a point is xº because given is a regular polygon.
Sum of all the angles of around a point is 360°.
⇒ 8x = 360°
Step 2: To find y:
One interior angle of a regular polygon =
In the given figure, each interior angle is divided by a bisector.
Step 3: Add x+ y
x + y = 112.5°
The counting principle is applied for this problem. There is only one possible combinations for the first two digits: 12. There are four possible combinations for the third digit: 7, 8, 9, 10. There are three possible combinations for the fourth digit: 3, 6, 9. There are three possible combinations for the fifth and sixth digits: 31, 62, 93.
So all in all, 1(4)(3)(3) = 36.
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Line PK is congruent to Line BG
Line PN is congruent to Line BH
Line KN is congruent to Line GH
∠P is congruent to ∠B
∠K is congruent to ∠G
∠N is congruent to ∠H
Answer:
The two lines are not perpendicular because the product of their slopes is not equal to -1
Step-by-step explanation:
The product of the slopes of the perpendicular line is -1
- That means one of them is and additive and multiplicative inverse of the other
- If the slope of one of them is m, then reciprocal m and change its sign, then the slope of the perpendicular is
- The formula of the slope is
Let us find from the graph two points lie on each line and calculate the slopes of them and then find its product if the product is -1, then the two lines are perpendicular
From the graph
∵ The red line passes through points (4 , 0) and (0 , 8)
∴ = 4 and = 0
∴ = 0 and = 8
∵
∴ The slope of the red line is -2
∵ The blue line passes through points (5 , 5) and (0 , -5)
∴ = 5 and = 0
∴ = 5 and = -5
∵
∴ The slope of the blue line is 2
∵ The products of the slopes of the two lines = -2 × 2 = -4
∴ The product of the slopes of the lines not equal -1
∴ The two lines are not perpendicular