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.
Answer:
2.9375
Step-by-step explanation:
15 divided by 16 equals .9375 so 2 15/16 is 2.9375
<h3>
Answer: (1,4)</h3>
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Explanation:
The notation <-5,2> is the same as writing the translation rule 
It says: move 5 units to the left and 2 units up
The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).
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Or you could write out the steps like so
We see that (6,2) moves to (1, 4)
Answer:
2 4/5 pictures
Step-by-step explanation:
We can use a ratio to solve
4/5 picture x picture
-------------- = -------------
2/7 hour 1 hour
Using cross products
4/5*1 = 2/7x
Multiply each side by 7/2
4/5 * 7/2 = 7/2 * 2/7 x
28/10 =x
2 8/10=x
2 4/5
