Answer:
(x+3)^2 +(y-5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 +(y-5)^2 = 6^2
(x+3)^2 +(y-5)^2 = 36
Answer:
0.077
Step-by-step explanation:
From the table :
Number of students aged 31 - 35 = 60
Number of students over 35 = 26
Total number of students = total possible outcomes = 1123
Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86
Probability = required outcome / Total possible outcomes
Probability (at least 31) = 86 / 1123 = 0.0765
= 0.077 (3 decimal places)
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
Answer:
102
Step-by-step explanation:
triangle area = 180 degrees
straight line = 180 degrees
180 - 127 = 53
49
49 + 53 + 3rd angle = 180
3rd angle = 78
180-78 = x
x = 102
Answer:
No.
Step-by-step explanation:
No because if we substitute the given values into the equation they do not fit:
y = 7x
x = 1 and y = 4:
Left side = 4
right side = 7*1 = 7.
