Answer:
<h3>
Acute Angles: ∠TLS, ∠SLT, ∠ULR</h3><h3>
Right Angles: ---------</h3><h3>
Obtuse Angles: ∠RLT, ∠SLU, ∠ULS,</h3><h3>
Straight Angles: ∠RLS, ∠TLU </h3><h3>
Not angles: ∠TRL </h3>
Step-by-step explanation:
The lines intersect at point L, so all angles have a vertex (middle letter) L so there is no angle TRL
Straight angle is a line with dot-vertex, so the straight angles are ∠RLS and ∠TLU.
∠TLS is less than 90° then it is acute angle (∠SLT is the same angle). ∠ULR is vertex angle to ∠TLS, so it's also acute angle.
Two angles adding to straight angle mean that they are both right angles or one is acute and the second is obtuse. ∠TLS is acute so ∠RLT is obtuse (they adding to ∠RLS) and ∠SLU is obtuse (they adding to ∠TLU). ∠ULS is the same angle as ∠SLU.
Answer: One of them is the set {1,2,3,4,5,6}itself; one is the empty set, containing no elements. “Proper subset of a set ” usually denotes a subset in which at least one element of the original set is missing; so one of the subsets - the original set iitself - is not a proper subset. Therefore the answer is 63.
Step-by-step explanation:
Answer:
If we used the quadratic formula to solve the equation we can say:
-b = -5
b² - 4ac = 13
2a = 2
Solving the first and last equations we get b = 5 and a = 1. Substituting these values into the second equation we get:
25 - 4c = 13
Solving this we get c = 3 so the answer is x² + 5x + 3.
Answer:
Test statistic = 2
P-value = 0.0227
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $98
Sample mean, 
= $100
Sample size, n = 100
Population standard deviation, σ = $10
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
Now, we can calculate the p-value from the normal table
P-value = 0.0227
