I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
You are going to want to cross multiply this, so 5/9 would multiply with 1 and 2/3 would be multiplied by x. Now you have 5/9 = 2/3x. You would divide 2/3 on both sides and get 5/6. 5/6 is your answer.
Answer: You determine the coefficient by looking to see if there is a number in front of a variable. If there is a number in front of the variable, then that is the coefficient. The coefficient is the number, and the variable is the letter.
Step-by-step explanation: Hope this helps
Answer:
Number of vans = 7 students
Number of buses = 60 students
Step-by-step explanation:
Let
Number of vans = x
Number of buses = y
2x + 11y = 674 (1)
6x + 14y = 882 (2)
Multiply (1) by 3
6x + 33y = 2,022 (3)
6x + 14y = 882 (2)
Subtract (2) from (3)
33y - 14y = 2,022 - 882
19y = 1,140
y = 1,140 / 19
= 60
y = 60 students
Substitute y = 60 into
2x + 11y = 674 (1)
2x + 11(60) = 674
2x + 660 = 674
2x = 674 - 660
2x = 14
x = 14/2
= 7
x = 7 students
