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vredina [299]
2 years ago
9

B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC

Mathematics
1 answer:
3241004551 [841]2 years ago
5 0

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

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If the sine of an acute angle is 3/5, what is the cosine of<br> that angle?
Korvikt [17]

Answer:

The cosine of the angle is 4/5.

Step-by-step explanation:

An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.

For each angle \alpha, we have that:

\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1

We have that:

\sin{\alpha} = \frac{3}{5}

So

\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1

(\frac{3}{5})^{2} + \cos^{2}{\alpha} = 1

\cos^{2}{\alpha} = \frac{16}{25}

\cos{\alpha} = \frac{4}{5}

The cosine of the angle is 4/5.

8 0
3 years ago
Help finding the x &amp; y intercept
nasty-shy [4]
The x-intercept will be the value of x when y=0.  The solutions to (x+1)(x+2)=0 are -1 and -2 since we can substitute them in to have one of the values in parentheses equal to zero, so our x-intercepts are (-1, 0) and (-2, 0).  The y-intercept is the value of y when x=0, or (0+1)(0+2)=2.  Therefore, the y-intercept is (0, 2).
3 0
3 years ago
Guthrie made the input-output table shown below.
Inga [223]

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

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If you check this against the table entries, you find it fits.

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3 0
3 years ago
For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?
FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

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Cross multiply it

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7 0
3 years ago
Four identical robots lie on the ground
iren [92.7K]

Answer:

3’5”

Step-by-step explanation:

14/4

3 0
3 years ago
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