In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3. 16 is a perfect square and 10 is not a perfect square
The distance walked by Anne is 14 miles.
Given that,
A hiking trail is 24 miles from start to finish.
Anne claims that the distance she has walked and the distance she has left to walk as a ratio of 5:7.
how many miles has Anne walked is to be determined.
<h3>What is the Ratio?</h3>
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The hiking trail is 24 miles.
Ratio distance travel and distance left = 5 : 7
Now,
the sum of ratios = 12
Distance traveled = 5 / 12 * 24 = 10 miles.
Distance left = 7 / 12 * 24 = 14 miles
Thus, the distance walked by Anne is 14 miles.
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Angles are undefined terms in plane geometry.
The true statements are:
- <em>4. </em><em>.</em>
- <em>5. </em><em />
- <em>6. </em><em> is an obtuse angle</em>
- <em>7. Its supplement must be an acute angle</em>
- <em>8. See attachment</em>
<em />
<u>Question 4</u>
The first statement is represented as:
Supplement of
means that A and B are congruent.
The supplementary of A and B would be the same
The measure of A is then calculated as:
Subtract 22 from both sides
<u>Question 5</u>
If LP and LQ are linear pairs, then:
So:
Substitute
Subtract 90 from both sides
<u>Question 6</u>
--- S and T are supplementary
--- T and U are complementary
Subtract both equations
Make U the subject
This means that:
Hence, is an obtuse angle
<u>Question 7</u>
Obtuse angles are greater than 90 degrees but less than 180.
This means that their supplement must be an acute angle (i.e. less than 90)
<u>Question 8</u>
See attachment
Read more about angles at:
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You should know that 10.75 is equal to 1075/100 so now you can simplify it and you will have:
1075/100 = 215/20 = 43/4 and that is the simplest form :)))
I hope this is helpful
have a nice day
Answer:
Christa went shopping for back to school clothes.
She paid a total of 176 dollars before the tax was added on.
Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.
Solutions:
=> 176 dollars * 6% to get the amount
=> 6% / 100% = 0.06
=> 176 dollars * .06 = 10.56
Now, let’s add to get the answer
=> 176 dollars + 10.56 dollars = 186.56 dollars
Step-by-step explanation:
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