Complete question :
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side.
Answer:
x = 9
All sides have 35 units length
Step-by-step explanation:
Recall: Equilateral triangles have 3 sides, all of equal length.
QR = 2x + 17
RS = 6x - 19
QS = 4x - 1
Take :
QR = RS = QS
To find x
QR = RS
2x + 17 = 6x - 19
2x - 6x = - 19 - 17
-4x = - 36
x = 9
QR = 2(9) + 17 = 35
RS = 6(9) - 19 = 35
QS = 4(9) - 1 = 35
Answer:
C. All trapezoids have exactly one set of parallel sides.
Answer:
I agree with Elena
Step-by-step explanation:
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, v.
Elena writes a = 6 times v
Andre writes v =1/6 times a.
Mathematically
The number of ants a is directly proportional to the number of legs
=a ∝ v
Because if
1 ant = 6 legs
2 ants = x legs
x = 6 legs × 2
x = 12 legs
The number of ants is directly proportional to the number of legs
Therefore, Elena is correct and Andre is wrong.
Answer:
The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 14 - 1 = 13
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 3.0123
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 664.14 - 224.85 = $439.29
The upper end of the interval is the sample mean added to M. So it is 664.14 + 224.85 = $888.99.
The 99% confidence interval for the true mean checking account balance for local customers is ($439.29, $888.99).
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