Answer: The correct answer is option C: 67
Step-by-step explanation: So we have four different lines intersecting at one point or the other and these are lines m, n, s and t. Also lines m and n are parallel, so we shall start from there. If lines m and n are parallel, then angle 74 along line n is equal to angle 9X + 2 along line m {corresponding angles are equal}. Therefore
9x + 2 = 74
9x = 74 - 2
9x = 72
Divide both sides of the equation by 9
x = 8.
Also the angle bounded by the intersection of lines m and s equals 74 {opposite angles are equal} because it’s opposite angle 9x + 2 and it’s also alternate to angle 74.
Looking at angle 5x - 1 along line t, substitute for the value of x
= 5(8) - 1
= 40 - 1
= 39
Therefore if angle 5x - 1 is calculated as 39, observe carefully that lines m, t and s intersect to form a triangle. The angles in the triangle are 39, 74 and S (labeled as angle 2). To calculate angle S,
S + 39 + 74 = 180 {Sum of angles in a triangle equals 180}
S + 113 = 180
Subtract 113 from both sides of the equation
S = 67
Therefore angle 2 equals 67 degrees.
A) 19m because 3 times 6 is 18 then you add m, which would be 19m
Answer:
The cost per adult is $16.
Step-by-step explanation:
Given that:
Total number of children = 20+22 = 42 children
Total number of adults = 2 + 5 = 7 adults
Total cost for both groups = $490
Cost per child = $9.00
Cost of children ticket = 9.00*42 = $378
Cost of adult tickets = 490-378 = $112
This is the cost for 7 adult tickets.
Cost per ticket = 
= $16
Hence,
The cost per adult is $16.
Answer:
IV
Step-by-step explanation:
