Complementary angles = 90
x+y =90
y=x+24
substitute this in to the equation
x+x+24=90
2x+24=90
subtract 24 from each side
2x = 66
divide by 2
x=33
y = 33+24
y=57
Answer: 33, 57
We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.
Answer:
Account A: Decreasing at 8 % per year
Account B: Decreasing at 10.00 % per year
Account B shows the greater percentage change
Step-by-step explanation:
Part A: Percent change from exponential formula
f(x) = 9628(0.92)ˣ
The general formula for an exponential function is
y = ab^x, where
b = the base of the exponential function.
if b < 1, we have an exponential decay function.
ƒ(x) decreases as x increases.
Account A is decreasing each year.
We can rewrite the formula for an exponential decay function as:
y = a(1 – b)ˣ, where
1 – b = the decay factor
b = the percent change in decimal form
If we compare the two formulas, we find
0.92 = 1 - b
b = 1 - 0.92 = 0.08 = 8 %
The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.
Account B recorded a greater percentage change in the amount of money over the previous year.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> 
There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>
Step-by-step explanation:
From the question we are told that the claim is
The mean growth rates of all four species are equal.
The null hypothesis is
Th alternative hypothesis is
From question the p-value is 
And since the 
so the null hypothesis will be rejected
So
The decision is to <u>reject</u> the <u> null hypothesis</u> at a significant level of <u>significance </u> There is <u>sufficient </u> evidence to conclude that <u>at least one of the population mean</u> is <u>different from</u> <u>at least of the population</u>
Answer: The graph will move 9 spaces to the right.
