You can solve this problem by using the Gauss method. The Gauss method is a method where you can add the first and last numbers together, and then multiply by how many times that appears. Here, the sum of the first and last number is -11. In this sequence, it would appear ten times (since there are ten terms and the terms are used twice in every eleven). -11 * 5 is -55, so that means the answer to this question is -55.
Here's one way to do it.
AB ≅ AC . . . . . . . . . . given
∠BAY ≅ ∠CAY . . . . given
AY ≅ AY . . . . . . . . . . reflexive property
ΔBAY ≅ ΔCAY . . . .. SAS congruence
XY ≅ XY . . . . . . . . . . reflexive property
∠AYB ≅ ∠AYC . . . . CPCTC
BY ≅ CY . . . . . . . . . . CPCTC
ΔXYB ≅ ΔXYC . . . .. SAS congruence
Therefore ...
∠XCY ≅ ∠XBY . . . . CPCTC
This is easy!
The overall amounts of flips is 32, which puts it on the bottom. It gave you a number of times you flipped it and received 8.
Giving us 8/32
which is 1/4 and in percentage form it is 25%
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
<h2>Answer:</h2>
<u>The value of the notebook in 2014 is </u><u>$980</u><u>.</u>
Answer:
84
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
2k² = 10k - 2 ( subtract 10k - 2 from both sides )
2k² - 10k + 2 = 0 ← in standard form
with a = 2, b = - 10 and c = 2, thus
b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84
