57 miles about I'm not positive but I think this is right
Answer:
C. 98
Step-by-step explanation:
The sum of angles interior to a triangle is 180°, so you have ...
x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)
x + 82° = 180° . . . . . . . . collect terms
x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation
x = 98° . . . . . . . . . . . . . . do the arithmetic
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<em>Comment on the equation</em>
The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...
something = (something else)
When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...
(sum of angles) = 180°
Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.
Answer:
(8, 5)
Step-by-step explanation:
Let's take a look at the y-intercept, (0, 5). If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units. If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5). In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.
The only answer choice that matches this is the second one: (8, 5).
A.
To get dividend per share, we need to divide total dividend by total numbers of shares outstanding.
Dividend per share =
dollars.
B.
Since per share you get $0.8, for 100 shares you will get
dollars.
Also, that is
percent of the total dividends.
ANSWER:
A. $0.8 per share
B. $80 (and that is 0.2% of total dividend)