Saying "a number" is the same as saying "x"
"Three more than a number" is the same as "three more than x"
If you have three more of something (say, marbles) than someone else, then you have their number of marbles plus three more.
Then, "Three more than x" is the same as "three plus x", or "3 + x"
Hope this helps! :)
The standard equation of the circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) it the center of the circle and r is the radius...
so
30.
(x-2)^2+(y-7)^2=16
31.
We need to find the radius...(I'll just use the Pythagorean Theorem)
r^2=6^2+8^2
r^2=36+64
r^2=100 (so the radius is 10) and its center is (-6,-8) so
(x+6)^2+(y+8)^2=100
Answer:
a = 30 degrees; b = 60 degrees; and c = 105 degrees.
Step-by-step explanation:
Angle a and the 30 degree angle are vertical angles and thus are equal.
Since the interior angles of a triangle always add up to 180 degrees, 30 + b + 90 degrees = 180 degrees, so that b must be 60 degrees.
Angle c and the 75 degree angle are straight angles, and so their sum must be 180 degrees. Thus, c = 105 degrees.
Answer:
0.75
Step-by-step explanation:
30/40 as a decimal is 0.75