Can someone help me match these up? i know the given is number one I need help with the rest.1.line RS || segment AB, ∠1=∠2
2.∠B = ∠1
3.∠A = ∠2
4.∠A = ∠B
5.RA = RB
A: If two ∠'s of a triangle are =, sides opposite are =
B: If lines ||, alternate interior ∠'s =
C: Given
D: Substitution
E: If lines ||, corresponding ∠'s are =
Answers
Answer:
1-C, 2-E, 3-B, 4-D, 5-A
Step-by-step explanation:
Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.
Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.
Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.
Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.
If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.
Related Questions
Which input value produces the same output value for the two functions on the graph?A.) x = -3 B.) x = -2 C.) x = -1 D.) x = 3
Here is a picture of my math problem.
What is ³√16 simplified?
What is the solution set of the following equation 4/5x^2=2x-4/5
False
Answers
The correct answer is:
True.
Explanation:
An association between two variables in a scatterplot is shown by most of the points following a pattern. This pattern can be linear or non-linear. The more closely the points seem to follow this pattern, the stronger the association.
An association in a scatterplot can be negative, meaning that as one variable increases the other decreases, or positive, meaning that as one variable increases the other increases as well. A negative association will appear to decrease on a graph, and a positive association will appear to increase on a graph.
Answers
Answer:
15/36 or 41.667%
Step-by-step explanation:
B. x ≥ -1
C. x ≤ -5 or x ≥ -1
D. x ≥ -5 or x ≥ -1
Answers
4 | x + 3 | ≥ 8 =>
| x + 3 | ≥ 2
Then eliminate the absolute operator like this:
| x + 3 | ≥ 2 =>
-x-3 ≥ 2 or x+3 ≥ 2
Simplify:
-x ≥ 5 or x ≥ -1=>
x ≤ -5 or x ≥ -1
That's answer C
4x + 12 >=8
4x >= =4
x >= -1
or
4x + 12 <= -8
4x <= -20
x <= -5
Answer is C
Answers
Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.
20% is also 20/100 or 1/5, so we can calculate this like this:
so the discount is 7 dollars.
4 ^sqrt 400/ 4^ sqrt 5
Answers
Answers
Answer:
$894.97 is needed more to break even
Step-by-step explanation:
In this question, we want to know how much money the pizza shop need so that their profits will equal their expenses.
Let’s calculate their profit
This can be calculated from the pizza sales
That would be;
61(3.06) + 89(1.42) = $186.66 + $126.38 = $313.04
Now, given that their bills for the first month is $1,208.01, the amount still needed to break even would be the amount of their bills minus the profit made from selling soda and pizza
That would be 1,208.01 - 313.04 = $894.97