0.5x - 2 < 5.5
Add 2 to both sides.
0.5x < 7.5
Now divide by 0.5 on both sides.
x < 15
Incomplete question. The full question read;
The producer of the news station posted an article about the high school’s football championship ceremony on a new website. The website had 500 views after four hours. Create a table to show how many views the website would have had after the first, second, and third hours after posting if the website receives views at the same rate. How many views would the website receive after 5 hours?
Answer:
<u>625 views</u>
Step-by-step explanation:
<em>Remember,</em> we are told to <u>base our calculation on the assumption that the website receives views at the same rate.</u>
Hence, if after 4 hours there were 500 views, it means the average views per hour would be 500/4 = 125 views. So for every hour, there would be 125 added views to the total.
In other words,
First hour: <u>125 views</u>
Second hour:<u> </u><u>250 views (125 views + 125 views</u>)
Third hour: <u>375 views (250 views + 125 views)</u>
Fourth hour: <u>500 views (375 views + 125 views)</u>
Fifth hour:<u> 625 views (500 views + 125 views)</u>
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
