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Deffense [45]
3 years ago
7

How do I find the X? (sorry the triangle is really small-)

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

  C.  98

Step-by-step explanation:

The sum of angles interior to a triangle is 180°, so you have ...

  x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)

  x + 82° = 180° . . . . . . . . collect terms

  x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation

  x = 98° . . . . . . . . . . . . . . do the arithmetic

_____

<em>Comment on the equation</em>

The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...

  something = (something else)

When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...

  (sum of angles) = 180°

Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.

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Igoryamba
The answer is y+61 or 61+y.

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6 0
3 years ago
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Twice the sum of a number and six decreased by fifteen is the same as eighteen more than the product of five and the number. Fin
Arlecino [84]

Answer:

-9

Step-by-step explanation:

2(n+6) -15 = 5n+18

2n + 12 - 15 = 5n + 18

2n - 3 = 5n + 18

2n = 5n + 21

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n = -9

4 0
3 years ago
The volume of a rectangular prism is 16.328 cm³. The height is 3.14 cm.
Ghella [55]

Answer:

The area of the base is = 5.2 cm²

Step-by-step explanation:

<em>First, we need to know the formula to calculate volume:</em>

volume=height XBase area

<em>if we change to our equations to the values we know:</em>

16.328 = 3.14XB

<em>Since 3.14 is multiplying B,we can pass it to divide the volume to the left side:</em>

\frac{16.328}{3.14} =B

<em>We calculate the operation=</em>

\frac{16.328}{3.14} =5.2

<em>And the answer is 5.2 cm²</em>

<em>Let me know if you have any question :D</em>

5 0
3 years ago
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos
Kamila [148]

Answer:

3

Step-by-step explanation:

The fractions are: \frac{1}{5} and \frac{2}{3}. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: \frac{5}{15} and \frac{10}{15}. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in \frac{2}{3}, we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: \frac{1}{5} + \frac{2}{3}. We know it is the same as \frac{5}{15} and \frac{10}{15}. So now all we do is add the numerators together: 5+10=15 or \frac{15}{15}. Now we have to reduce the fraction. \frac{15}{15} can be reduced to 3 by dividing 15 by 5=3. The final fraction is \frac{3}{3} or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

7 0
2 years ago
Which expression is equivalent to 5x+10y-15?
Papessa [141]

Answer:

Step-by-step explanation:

I think it's 5(x+2y-3)

5 0
3 years ago
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