Answer:
∠B = 156°
Step-by-step explanation:
A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:
Solving for x:
Solving Angle B if x = 11.
6 (3) - 4 + 32
hope this helped
Answer:
The domain is (x : 2 < x < 6}
The range is {y : 160 < y < 480}
Step-by-step explanation:
Assume that y is the total charge for x hours
∵ He charges $80 an hour
∵ The number of hours is x
∴ y = 80 x
x is the domain and y is the range
∵ He works between 2 to 6 hours a day
- That means x is between 2 and 6
∴ 2 < x < 6
∵ x represents the domain
∴ The domain is {x : 2 < x < 6}
Lets find the value of y at x = 2 and x = 6 to find the range
∵ x = 2
∴ y = 80(2)
∴ y = 160
∵ x = 6
∴ y = 80(6)
∴ y = 480
- That means y is between 160 and 480
∴ 160 < y < 480
∵ y represents the range
∴ The range is {y : 160 < y < 480}
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
