Answer:
Lines a and b are considered parallel due to their corresponding angles being equal.
Step-by-step explanation:
The corresponding angle postulate states that two lines are parallel when a transversal intersects them and their corresponding angles are congruent.
In this case, line a and line b are intersected by transversal e, with both corresponding angles measuring 110 (which are congruent), hence, according to the corresponding angle postulate, we can conclude that line a and line b are indeed parallel to each other.
Xy = 450
y = x/2 => x=2y plugging this into the first equation yields 2y*y=450 => y^2 = 225
y=15 since 15*15=225
x=2y therefore x=2*15 = 30
x=30
y=15
I hope this is helpful to you
We aim to verify the assertion that generally, 10% of students repeat a course, leading us to this hypothesis setup:
Null hypothesis:
Alternative hypothesis.
The most fitting choice for this scenario is:
d) H0:p=0.1 vs. H1:p ≠ 0.1.
For this case, the provided information includes: the number of students repeating the course, the selected sample size, and the estimated proportion of repeaters. We are testing the claim that generally, 10% of students retake classes, which will be validated through established hypotheses.
Y = 6
Here’s a step-by-step explanation:
On the initial day of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $72.
On the following day, the school collected $152 from 7 adult tickets and 16 student tickets.
What is the price of a student ticket?
Day 1: 3x + 8y = 72
Day 2: 7x + 16y = 152
This leads to a system of equations.
By manipulating these equations, we find:
Ultimately, y = 6.
If you wish to continue from this point, substituting y into the equation will give the value for x.
