Answer:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones
.
Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
1. You need to multiply the denominator by something that will make the content of the radical be a square—so that when you take the square root, you get something rational. Easiest and best is to multiply by √6. Of course, you must multiply the numerator by the same thing. Then simplify.
2. Identify the squares under the radical and remove them.
Answer:
C
Step-by-step explanation
the numbers are decreasing -3
