Complimentary angles, when added, = 90 degrees
so if one angle is x, then its compliment is 90 - x
x = 5(90 - x) - 6
x = 450 - 5x - 6
x + 5x = 450 - 6
6x = 444
x = 444/6
x = 74
and its compliment is : 90 - x.....90 - 74 = 16 <==
Joshua delivered 30 hives to the local fruit farm.
If the farmer has paid to use 5% of the total number of Joshua's hives.
So 30 hives is 5% of the total number of hives.
5% of hives = 30
1% of hives = 30 ÷ 5 = 6
100% of hives = 6 × 100 = 600
Thus, Joshua had 600 hives before selling.
Now, he has = 600 - 30 = 570 hives.
Now, Joshua has 570 hives.
Answer:
(x − 1)² + (y + 1)² = 18
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
The center is (1, -1), so plugging that in:
(x − 1)² + (y + 1)² = r²
A point on the circle is (4, 2), so plugging that in:
(4 − 1)² + (2 + 1)² = r²
18 = r²
Therefore, the equation is:
(x − 1)² + (y + 1)² = 18