Based on the picture, PC = PD
Answer: The lines through the pairs of points are perpendicular.
Step-by-step explanation: The lines when graphed do not have the same slope so they can not be parallel. However, when graphed the points (-3, 5) and (-1, 0) goes through the midpoint of the points (-3,1) and (2,3) meaning that the above points are perpendicular! Hope this makes sense and helps.
3x+4x+5x=90
combine like terms
12x = 90
divide by 12
x = 7.5
sides: 3(7.5) ,4(7.5) ,5(7.5)
22.5, 30, 37.5
Answer:
(write this in the format your curriculum suggests, most are different)
Since BC is longer than AB, this means m<bcd is smaller than m<bad.
A way to prove it mathematically is to look at the triangle on the left. Since It's an isosceles triangle, m<cda and m<dac are equal. However, the triangle on the right does not have two proven congruent sides. All we know is BC is larger than the other side lengths. In a figure like that, the obtuse angle that meets the longest side would be the largest angle.
Apologies for being so wordy.
Answer:
The probability that at most 7 favor the new tax is 0.7869
Step-by-step explanation:
Total number of voting resident = 10000
number of voting resident against new sales tax = 4000
therefore probability of choosing a voting resident against new sales tax = 4000/10000 = 0.4
If 15 eligible voters are selected at random and asked their opinion, what is the probability that at most 7 favor the new tax
Using binomial,
number of selected voters(n) =15,
p=0.4
P(x<=0.7) = binomialcdf(15, 0.4, 7)
Using your calculator
P(x<=0.7) = binomialcdf(15, 0.4, 7) = 0.7869
