Answer:
30° and 12
Step-by-step explanation:
The sum of the exterior angle and the interior angle = 180°
sum the parts of the ratio, 1 + 5 = 6 parts
Divide 180° by 6 to find the value of one part of the ratio
180° ÷ 6 = 30° ← value of 1 part of the ratio
(i)
The exterior angle = 30°
(ii)
The sum of the exterior angles of a polygon is 360°
To find the number of sides n divide 360 by 30 , that is
n = 360 ÷ 30 = 12
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer:y=17
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
7+5=12
12-5=7
7/12
These lines are perpendicular!
y = x
y = -x–2
The slopes are reciprocals of each other, so they are perpendicular.