Short Answer: 150
Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.
Given
angle at B = 75 degrees.
Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150
Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
Answer:
Option d is correct.
Equation : P=7n+20.
Explanation;
Given the perimeter of each figure is;
Perimeter of triangle is equal to the sum of all the sides of a triangle.
Perimeter of 1 triangle is 21
Perimeter of 2 triangle is 34 and
Perimeter of 3 triangle is 41
Let n be the number of figure and P be the perimeter of the figure;
the only equation which satisfy the given perimeter is;

Check:
for n =1 which means 1 triangle then;

for n = 2 , [ i.e 2 triangle]

and for n =3 [i.e, 3 triangles]

Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).
Answer:
No, because the cone has a smaller volume than the ice cream
Step-by-step explanation:
V=4
3πr3=4
3·π·33≈113.09734
Volume of scoop: 113.1 cm^2
V=πr2h
3=π·2.52·10
3≈65.44985
Volume of cone: 65.45 cm^2
65.45 < 113.1
Answer:
RT = 20
Step-by-step explanation:
Point S is on line segment
R------------S------------T
RS + ST = RT
Given
ST=3x-8
RT=4x
RS=4x-7,
Step 1
We find x
4x - 7 + 3x - 8 = 4x
4x + 3x -7 - 8 = 4x
7x - 15 = 4x
7x - 4x = 15
3x = 15
x = 15/3
x = 5
Step 2
We find RT
RT = 4x
x = 5
RT = 4 × 5
RT = 20
The numerical length of RT is 20
Answer:
a ^ 2 - b ^ 2 = ( a + b ) ( a - b ) where a = 4p and b = 3q.
( 4p + 3q ) ( 4p - 3q )