Since angles 1 and 2 are supplementary, then we know they add to equal 180°. We also know that both angles are congruent. By the given information, we can find that both angles 1 and 2 are right angles. This is because 180/2=90 and a 90° angle is better known as a right angle. That is the only statement that will always be true with the given information. Angles don't have to be adjacent for them to be supplementary, we don't know the location of the angles, so they might be vertical angles, but that might not always be true, and it says the angles are supplementary, so they couldn't be complimentary.
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Answer:
Step-by-step explanation:
If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...
5a +4s = 85
5a +2s = 55
Subtracting the second equation from the first gives ...
(5a +4s) -(5a +2s) = (85) -(55)
2s = 30 . . . . simplify
s = 15 . . . . divide by 2
Substituting this into the second equation, we have ...
5a +2(15) = 55
5a = 25 . . . . subtract 30
a = 5 . . . . . divide by 5
Each adult ticket sold for $5; each student ticket sold for $15.
1/7-9/7n+6/7
1-9/7n
That is the extended form and is simplified
Hope it helps! :)
Answer:
x = 15 cm
Step-by-step explanation:
All the ratio of corresponding sides should be equal
10 corresponds to x
16 corresponds to 24
12 corresponds to 18
<em>Finding the ratio of the known pairs:</em>
<em>Similarly 10 is to x should be 2 is to 3. Finding x:</em>

So x = 15.
<h2>
Hello!</h2>
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

<h2>
Why?</h2>
To solve the problem, we need to remember the following property of square roots:

We are given the expression:

We can rewrite it by the following way:

Now, applying the square root property we have:

Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

Have a nice day!