10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =

<u>End of year 3 (capital + interest + new deposit)</u>

and we can see that at the end of year 50, the future value is

The sum

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

and the future value is then

The <em>present value PV</em> is

rounded to the nearest hundredth.
Answer:
not proportional
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Answer:
X= -13
Step-by-step explanation:
The goal is to get x by itself!
<em>Rule of thumb: whatever you do to the left, you MUST do to the right</em>
Step 1: Subtract 8 from the left side of the equation (the = sign)
x + 8 = (-5)
- 8 --> this gets x by itself
Step 2: Subtract 8 from (-5) on the right side <em>(because you did it on the left</em>
x = (-5)
- 8
*<em>note: x is now by itself*</em>
Step 3: Solve!
x = (-5) - 8 -13
x = -13