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grigory [225]
3 years ago
10

For the following right triangle find the side length x

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Step-by-step explanation:

everything can be found in the picture

shusha [124]3 years ago
6 0

Answer:

x=15

Step-by-step explanation:

Hi there!

We're given a right triangle with the measures of the 2 legs (sides that make up the right angle). We're also given the measure of the hypotenuse (the side opposite to the right angle) as x

We need to find x

The Pythagorean Theorem states that if a and b are the legs and c is the hypotenuse, then a²+b²=c²

Let's label the values of a, b, and c to avoid any confusion first

a=12

b=9

c=x

now substitute into the theorem

12²+9²=x²

raise everything to the second power

144+81=x²

add 144 and 81 together

225=x²

take the square root of 225

15=x (note: -15=x is technically also an answer, but since lengths cannot be negative, it's an extraneous solution in this case)

Therefore, the side length of x is <u>15 </u>

Hope this helps! :)

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Which equation could be used to solve this problem? The sum of two consecutive integers is 141. Find the integers. A. n + 1= 141
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4 years ago
Please help me in answers 3 and 5
Mama L [17]
3. The correct answer is 2) 3m² - 6. 
(2m² + 3m - 4) + (m² - 3m - 2)   Given
2m² + m²   These numbers are like terms, because they both end in m².
3m²   Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).

3m + (-3m)   These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0   Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.

-4 + (-2)   These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6   -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.

3m² - 6   Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.

5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.

Hope this helps!
4 0
3 years ago
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