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DochEvi [55]
3 years ago
6

Solve for x in the problem below

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

x = 9

Step-by-step explanation:

This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°.  Supplementary angles add up to 180° and form a straight line.  In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°.  Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x.  We also know that this angle plus the other two angles of the triangle will add up to 180:

89 + 179 - 14x + 5x  - 7 = 180

Combine like terms:  261 - 9x = 180

Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81

Solve for x:  x = 9

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The product of two consecutive negative even integers is 24. Find the largest integer.
natali 33 [55]

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

3 0
3 years ago
Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l
marta [7]

Answer:

\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}

4 0
1 year ago
What 2 numbers equal -80
mina [271]
-10 and 8 multiply them to equal 80 but if there both negative it will be a positive 80 because if you multiply 2 negatives its postive hope this helps
4 0
4 years ago
Read 2 more answers
If f(x) = 5x, what is f -1 (x) ?
Gala2k [10]

Answer:

f^{-1}(x) = \frac{x}{5}

Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

f(y) = x

⇔ 5y = x

\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

4 0
2 years ago
What is the slope and u-intercept of the equation represented by the following graph?
Alisiya [41]
The answer is E, the fifth answer choice,
slope = -1; y-intercept = 5

Hope this helps :)
8 0
4 years ago
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