Answer:
angle BAC is complementary to angle ACB
Step-by-step explanation:
Complementary angles add up to 90 degrees.
In a triangle, the sum of angles is 180 degrees.
ABC is a right triangle, so angles a+c=90 degrees.
The standard form is
(x-xo)² + (y-yo)² = r²
Where xo,yo is the center of the circumference
and r is the radius.
We find the distance between the points to determine the <span>diameter
d=sqrt ((9-2)</span>² + (4-4)²<span>) = sqrt (49) = 7
The radius of the circumference is d/2 = 7/2 = 3.5
And we can see that those points are at the same coordinate y = 4
The center is given then by , x = (9+2)/2 = 5.5
y = (4+4)/2 = 4
The equation results
(x-5.5)</span>² + (y-4)² = (3.5)²<span>
</span>
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Answer:
61 3/5
Step-by-step explanation:
we realize that 8 4/5 can be written as [8 + (4/5)]
hence 7 x 8 4/5
= 7 x [8 + (4/5)]
= 7 [8 + (4/5)] (use the distributive property, see attached for reference)
= 7(8) + 7(4/5)
= 56 + 28/5 (convert 28/5 into mixed fraction)
= 56 + 5 3/5
= 61 3/5 (answer)