Answer:180 degrees
Step-by-step explanation:Let "x" be the measure of the angle the problem is asking for.
"when twice of a angle is added to 45" is the angle (2x+45) degrees.
The problem says that the angle (2x+45) is the supplement to the given angle.
It means that
x + (2x + 45) = 180 degrees. <<<---=== This equation is the exact meaning of the condition.
Simplify and solve this equation for x:
3x + 45 = 180 ====> 3x = 180 - 45 = 135
====> x = 135/3 = 45 degrees.
Answer:
x^2-4x+3
Step-by-step explanation:
Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:
(x-1)(x-3)
=x^2-4x+3
We can further check that this is the right answer by evaluating it at the vertex:
(2)^2-4*2+3=-1
Since that corresponds to the graph, the answer is x^2-4x+3
Answer:
The formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax.
Step-by-step explanation:
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Answer:
Result is statistically significant.
Step-by-step explanation:
Given that :
Chisquare statistic, χ² = 67.81
Critical value for the distribution, χ²critical = 3.84
α = 0.05
The Decison region :
If χ² statistic > Critical value ; Reject H0 ; this. Eans that result is statistically significant.
Therefore, since, 67.81 > 3.84 ; This means that the result is statistically significant at 0.05
Answer:
===========================
The amount of simple interest is:
- Interest = Loan * rate * time
or
Given:
- P = $60000, r = 6.5%, t = 12 years
Substitute and calculate:
- I = 60000*(6.5/100)*12 = 46800
The matching choice is D.