Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
Step-by-step explanation:
Let n = 1st number
n+2 2nd even number
n+4 = 3rd even number
The sum of these 3 numbers is
n+n+2+n+4
It must be between 84 and 96 (it does not include this 84 and 96)
84< n+n+2+n+4 < 96
Now we need to solve this
Combine like terms
84 < 3n +6< 96
Subtract 6 from all sides
84 -6 < 3n+6-6 < 96 -6
78 < 3n < 90
Divide all sides by 3
78/3 < 3n/3 < 90/3
26 < n< 30
Answer:
13sqrt(2)
Step-by-step explanation:
Using pythagoras theorem
Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
Answer:
i would say the answer is (b) 40
Step-by-step explanation:
The sum of measures of angles A and B is 90°
Hence the angles are complementary
- As complementary angles have sum 90°
