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crimeas [40]
3 years ago
12

The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missin

g leg? Round to the nearest tenth, if necessary.
Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer: 27.7 millimeters

Step-by-step explanation:

Let the missing leg be represented by x.

We will use Pythagoras formula to solve this. The measure of the missing leg will be:

x² = 37² - 24.5²

x² = 1369 - 600.25

x² = 768.75

x = ✓768.75

x = 27.7

The missing leg is 27.7 millimeter

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Explanation:

"Like" radicals can be added and subtracted in the same way any like terms can be combined. It can be helpful to simplify the radical as much as possible so that it can be seen whether the radicals are "like" or not.

<u>Examples</u>:

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4 0
3 years ago
Lines c and d are parallel lines cut by transversal p. Which much be true by the corresponding angles theorem?
Flura [38]
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The corresponding angle theorem states that if two parallel lines are cut my a transversal, then the corresponding angles are congruent. Therefore, the correct answer is:
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4 0
3 years ago
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8 0
3 years ago
Help me asap!!!!
qaws [65]

Answer (numbers needed in boxes, going from top to bottom):

1

-1

-3

3

Step-by-step explanation:

f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.

1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:

y = 2(1)-1\\y = 2 - 1\\y = 1\\

So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.

2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:

x = 0

y = 2(0) - 1\\y = 0 - 1\\y = -1

x = -1

y = 2(-1) - 1\\y = -2 -1 \\y = -3\\

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y = 2(2)-1\\y = 4-1\\y = 3\\

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B11%7D%20%20%3D%20" id="TexFormula1
katrin2010 [14]

Solve. To solve this equation, you must change the divide sign into a multiplication sign.

To do so, change it into a multiplication sign, and flip the second fraction

(5/12)/(2/11) = 5/12 x 11/2

Multiply across

5/12 x 11/2 = 55/24

55/24, or 4 7/12

hope this helps

<em>~Rise Above the Ordinary</em>

7 0
3 years ago
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