Answer:
Step-by-step explanation:
One
EH = FG
<F = <H
Two
1. DB divides AC into two right angles: BDA and BDC
2. <ABD = CBD
Answer:
The distance between airport and Ann's home is 21 miles
Step-by-step explanation:
Given Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10. we have to find the equation to determine the distance in miles between the airport and Ann's home.
Let the distance between airport and Ann's home be x miles.
Given, Total fare = $2.10/mile
Tip given = $5
Total money given=$49.10
∴ Equation can be written as
(Taxi fare per mile)(distance)+tip = total money given
⇒
⇒ ⇒ x=21
Hence, the distance between airport and Ann's home is 21 miles
9(5) - (3+5) = x
45 - 8 = x
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Answer:
<h2>
11</h2>
Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 <em>ust the distributive property</em>
n² + n = 8n + 16 + 2
n² + n = 8n + 18 <em>subtract 8n from both sides</em>
n² - 7n = 18 <em>subtract 18 from both sides</em>
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 <em>add 9 to both sides</em>
n = 9
n + 2 = 0 <em>subtract 2 from both sides</em>
n = -2 < 0
n + 2 = 9 + 2 = 11