What do you need help with
Answer:
109 degrees
Step-by-step explanation:
Since we can see that the line on the top, the one across the yellow box, is the main one, and that one measures 180*, so that means that we have to just subtract 180 by 71, and that will be our answer!
180-71 =109
So, the angle of the missing angle is 109 degrees.
Another proof that this is your answer is that 109 degrees is obtuse, and we can easily say that the angle here is also obtuse.
Answer:
7/8 > 5/6
Step-by-step explanation:
Well look at it this way: 7/8 needs 1 more eighth until 1. 5/6 needs one more sixth until one. One eighth is smaller, so it requires a smaller amount to get to a greater number, if that makes sense. So 7/8 is greater than 5/6.
Answer is B. 48
By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.
The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553