∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.
step-by-step explanation:
When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).
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Keywords: Transversal, angles
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.
The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).
For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.
As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]
C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250
Thus, the range of this function is [0, 3250]
To start, calculate the return for each
price per unit
Return = quantity sold x price
per unit
Return1 = 5000 units x Php 900
Return1 = Php 4,500,000
Next, figure out the return for the other price per
unit
Return2 = quantity sold x
price per unit
Return2 = (5000 + 1500 units) x (
Php 900 – 100)
Return2 = Php 5,200,000
Thus, a price of Php 800 per unit will result in a higher return.
Answer: 0.1289
Step-by-step explanation:
Given: The proportion of students absent on Mondays at a large university.: 
Sample size: 
Mean: 
Standard deviation = 
Let x represent a binomial variable.
Referencing the standard normal distribution table,
(1)
Z score for normal distribution:-
For x=4
For x=3
Thus, from (1)
Consequently, the likelihood of four students being absent = 
Answer: 504 Step-by-step explanation: To find the result for the left-leaning poll, Total voters = 900 + 1100 = 2000. Voters who say Trump was responsible = 56% of 2000, which equals 1120. Voters who say otherwise = 44% of 2000, which amounts to 880. For this network, those who say Trump is responsible = 1120 × (900/2000) = 1008000/2000, resulting in 504 registered voters.
