Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:



x = 60°
Answer:
-138/7
Step-by-step explanation:
use l.c.m . Or multiply through by 30.
Linear pairs add up to 180 degrees.
x=4y-5
x+y=180
Substitute x
4y-5+y=180
5y-5=180
5y=185
y=37
Plug the y value in
x+37=180
x=143
Final answer: angle 1= 143 degrees, angle 2= 37 degrees
Answer:
The value of x is 5.
Step-by-step explanation:
Given that:
Base of triangle = b = x
Length of side of triangle = a = 4x-3
Perimeter = 39
In an isosceles triangle, two sides of the triangle are equal.
Perimeter of an isosceles triangle is given by,
P = 2a+b
Putting the values
39 = 2(4x-3)+x
39=8x-6+x
39=9x-6
39+6=9x
45=9x
9x=45
Dividing both sides by 9

Hence,
The value of x is 5.
Answer:Lateral Surface Area is 672m^2
Step-by-step explanation:
Surface Area of Triangles= 8m*12m=96
Surface Area of Top & Bottom Rectangles= 12m*18m*2=432m^2
Surface Area of Middle Triangle=12m*18m=216
Total Surface Area= 216+432+96
672m^2