Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
Answer:
Relation 3: yes, it can be a function
Relation 4: no, it cannot be a function
Step-by-step explanation:
in a function, for every input x there can only be one correlating output y.
Odd integers are represented by 2n+1 where n is a whole number
consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2
the sum of them is at least 16
2n+1+2n+1+2<u>></u>16
4n+4<u>></u>16
minus 4
4n<u>></u>12
divide 4
n<u>></u>3
sub back
2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9
they have to be at least 7 and 9
Answer:
The solution for is all real numbers less that or equal to 36.
Step-by-step explanation:
Given expression:
To find the solution for
Solution:
In order to solve for , we will make sure to isolate the unknown variable on left side alone by doing math operations on both sides of the inequality.
We have:
Multiplying both sides by 2.
The 2 on left side will cancel each other leaving alone.
Thus, we have:
Thus, solution for is all real numbers less that or equal to 36.