Answer: B. Line AC is congruent to line BD
Step-by-step explanation:
The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
Since they both share Leg DC, their hypotenuse should be congruent to use this proof.
Answer:
Parallel
Step-by-step explanation:
In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.
2x +8y= 56
Let's rewrite this equation into the slope-intercept form.
8y= -2x +56
Dividing both sides by 8:


Slope= -¼
y= -¼x -5
Slope= -¼
Since both lines have the same slope, they are parallel to each other.
Answer:
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Answer:
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Answer:
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7079
The margin of error is:
M = T*s = 2.7079*234.12 = 633.97
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams
The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams
The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams