Corresponding angles are congruent and appear on the same side of the transversal (the dividing line). Out of the answer choices, letter A (angles 1 and 5) fit that description. Hope this helped
Answer:
the equation of the perpendicular bisector of segment AB is y = -2x + 7
Step-by-step explanation:
Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2. Thus, the slope of this line is m = rise / run = 2/4, or 1/2.
Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2: that'd be -2.
3 - 1 6 + 4
The midpoint of line segment AB is ( --------- , ---------- ), or (1, 5)
2 2
Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:
Starting from y = mx + b, we get 5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is
y = -2x + 7
Answer:
D - Type of restaurant - fast food or more expensive.
Step-by-step explanation:
By a lurking variable we mean or refer to any variable that is unknown and not controlled for or out of individual control. When there is one or more lurking variables in any study it could results in accidental bias. According to Soares (1985), lurking variables are intrinsic and they are not actually caused by “accidents” in real sense. Hence he suggests that “lurking-variable bias” is a more suitable name for accidental bias.
Concluding that individuals who spend a lot on groceries also spend a lot at restaurants could be misleading in the sense that, groceries may have a more uniform price than restaurant regardless of your social class. For instance, type of restaurant could determine food cost. At some restaurant, food is quite expensive at another food is quite affordable. I may not to go any groceries store in a month but I patronize restaurant to eat daily.
It is also possible I don't patronize restaurants! And yet, I am frequent at groceries store.
In real sense, what I spent at groceries might be nothing compare to what I spend at restaurant and vice versa. Hence, the possible lurking variable is type of restaurant - fast food or more expensive which is unknown and not controlled for.
1 5/8 - 3/8 = 1 1/4
Subtract the numerators because the common denominators are the same and leave the whole number to make 1 2/8. To simplify it you divide it by 2 because that's the highest number that can go into both numerator and denominator to make is 1 1/4.
Answer:
ok
Step-by-step explanation:
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