Divide distance with time
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
Answer: A) 126.6
<u>Step-by-step explanation:</u>
Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.
∠A + ∠B + ∠C = 180
∠A + 85 + 53 = 180
∠A + 138 = 180
∠A = 42
Now we have:
A = 42 B = 85 C = 53
a = 85 b = ??? c = ???
We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).
Answer:
x = -1
Step-by-step explanation:
7(4x+1)−3x=5x−13
Distribute
28x +7 -3x = 5x -13
Combine like terms
25x+7 = 5x-13
Subtract 5x from each side
25x-5x +7 = -13
20x +7 = -13
Subtract 7 from each side
20x+7-7 = -13-7
20x = -20
Divide by 20
20x/20 = -20/20
x = -1
Answer:
Calculate the third missing measure.
Use the interior angle sum of a triangle.
Compare angle measures.
Triangles with two pairs of congruent angles are similar.
The angle-angle criterion applies.
Step-by-step explanation: e2020