Answer:
B
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
p = 180° - (80 + 20)° = 180° - 100° = 80° and
q = 180° - (45 + 55)° = 180° - 100° = 80°
Thus p = q → B
Answer:
42 student tickets and 98 adult tickets
Step-by-step explanation:
Let's call the number of student tickets 's' and the number of adult tickets 'a'.
Then, we can write the two equations below:
5s + 8a = 994
a = 2s + 14
Using the value of 'a' from the second equation in the first one, we have:
5s + 8*(2s + 14) = 994
5s + 16s + 112 = 994
21s = 882
s = 42
Now, finding the value of 'a', we have:
a = 2*42 + 14 = 98
Correct.
PB is twice that of PA
So QC must be twice that of QA
The triangles are similar triangles.
Answer:
a(n) = -3(-1/5)^(n - 1)
Step-by-step explanation:
From the first term, -3, we get the second term, 3/5, by multiplying -3 by -1/5.
Thus, the common ratio is -1/5.
The general formula in this case is a(n)=(first term)(common ratio)^(n - 1), or
a(n) = -3(-1/5)^(n - 1)
Answer:
z ≥ 2
Step-by-step explanation:
Step 1: Write inequality
-7z - (-5z - 4) ≤ -3z - 2 + 4z
Step 2: Solve for <em>z</em>
- Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4z
- Combine like terms: -2z + 4 ≤ z - 2
- Add 2z to both sides: 4 ≤ 3z - 2
- Add 2 to both sides: 6 ≤ 3z
- Divide both sides by 3: 2 ≤ z
- Rewrite: z ≥ 2
