5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
.
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° =
108°.
That seems reasonable, because A appears to be an obtuse angle.
6)
m∠BAE + m∠DAE + m∠ABC = 180°
∠ABC ≅ ∠ADC.
m∠ABC =
m∠ADC =
81°.
7)
DC =
29
Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
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 = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Answer:
x=9
Step-by-step explanation:
I took one side, and made proportions:
12:16
3:4
so, x-1:6=3:4
(x-1)/6=3/4
solve it for x=9
Answer:
20.526%
Step-by-step explanation:
This can be found by dividing 31.2 by 152. The answer that shows up on the calculator is .20526. Then, move the decimal place over two to the left.
First, figure out the new salary. To do this, multiply 15.50 and 0.18. This is 2.79. Add this to 15.50.
15.50 + 2.79=18.29
Therefore, $18.29 is her hourly pay.
To find how much money she earns in 10 hours, multiply this pay per hour (18.29) times the hours worked (10).
18.29 x 10
182.9
This means that Paige earns $182.90 for working 10 hours.
Hope this helps! Please comment if you need any more explanation and I’ll get back to you ASAP :)
