Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
Tavius would earn his best value if he invests in a three-year certificate of deposit with a nominal interest rate of 4 percent.
Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.
<em><u>Interest rate of the first option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 2 = $150
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<em><u>Interest rate of the second option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 1 = $75
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<em><u>Interest rate of the third option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.04 x 3 = $300
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<em><u>Interest rate of the fourth option</u></em>
FV = P x (1 + r) n
$2500 x (1.03) = $75
A similar question was answered here: brainly.com/question/24748787?referrer=searchResults
Answer:

Step-by-step explanation:
Let
x----> the temperature in degrees Fahrenheit
y ---->insect chirping rate in times per minute
we have the ordered pairs
(82,61) and (91,124)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line
we know that
The equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have
---> the units are chirps per minute/degree F
take the point (82,61)
substitute and solve for b



substitute

Answer:
111111 aka i dont know
Step-by-step explanation: