Answer:
Step-by-step explanation:
1) The sum of angles on a straight line is 180 degrees. Therefore
75 + a + 70 = 180
145 + a = 180
a = 180 - 145 = 35 degrees
2) Sum of the angles in a triangle is 180 degrees. Therefore,
a + b + 95 = 180
35 + b + 95 = 180
130 + b = 180
b = 180 - 130 = 50 degrees
3) c + 95 = 180 degrees (sum of angles on a straight line).
c = 180 - 95 = 85 degrees
4) 70 + c + d = 180 degrees
70 + 85 + d = 180
155 + d = 180
d = 180 - 155 = 25 degrees
5) e = 75 degrees
6) f + e + 75 = 180 degrees
f + 75 + 75 = 180
f + 150 = 180
f = 180 - 150 = 30 degrees
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1) 
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
Area of a triangle = 1/2 × base × height
Plug in what we know.
78 = 1/2 × b × 9¾
Multilply each side by 2 to get rid of the 1/2...
156 = b × 9¾
Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)
156 = b × 39/4
Multiply each side by 4...
624 = b × 39
Divide each side by 39...
16 = b
Done! The length of the base of the triangle is <u>16</u> inches.
You take 150/3. The answer is 50.
Answer:
I believe the answer you chose is correct. D
