Answer:

Step-by-step explanation:
Given

Required
Solve for s

Add
to both sides

Take LCM




Answer:
see explanation
Step-by-step explanation:
∠c = ∠ a = 47° ( vertical angles )
∠c and ∠b form a straight angle and are supplementary, thus
∠c + ∠b = 180, that is
47 + ∠b = 180 ( subtract 47 from both sides )
∠b = 133°
∠d = ∠b = 133° ( vertical angles )
That is a = c = 47° and b = d = 133°
The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°
360° is the sum of the angles round a point , hence answer is correct
Answer:
Option B. 
Step-by-step explanation:
step 1
Find the central angle of the shaded sector
Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)
so
Let
x -----> the measure of the central angle of the shaded sector
∠x+72°=180°
∠x=180°-72°=108°
step 2
Find the area of the circle
The area of the circle is

we have

assume

substitute


step 3
Find the area of the shaded sector
Remember that the area of the complete circle subtends a central angle of 360 degrees
so
by proportion find the area of a sector by a central angle of 108 degrees

Answer:
Step-by-step explanation:
George is g and Mike is m
Substitute g in the second equation
- 2m - 5 + m = 31
- 3m - 5 = 31
- 3m = 36
- m = 12
Finding g
- g = 2*12 - 5 = 24 - 5 = 19
ANSWER
36 .19
EXPLANATION
We want to estimate

This is the same as

or

We multiply the numerators to get,

We convert to decimals to get
