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2 years ago

Christy spent half of her weekly allowance at the movies. To earn more money her

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

3 0

Answer:

Step-by-step explanation:

she has $8 now

her parents let her earn $5

so you have to take the $5 from the $8

so $8 - $5 = 3

and she had spent half her allowance so you have to double the $3

$3 * 2 = $6

she has a weekly allowance of $6

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Select the postulate or theorem

Ilia_Sergeevich [38]

Answer: SAS Similarity theorem.

Explanation.

SAS stands for Side - Angle - Side.

SAS theorem states that if two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, then the triangles are similar.

And that is what the figure shows:

1) The angle at M is the same for both triangles.

2) The ratios of the sides are: 2/3 and 4 /6. Given that 2/3 = 4/6 you have that the two corresponding sides have identical ratios.

7 0

3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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2 years ago

Question 2 of 25

tekilochka [14]

Answer: The Answer is C 2.29

Step-by-step explanation: I just got it right on the test

7 0

2 years ago

Use the equation p = 831 where p = pressure and

Inga [223]

Answer:

The lower the volume, the higher the pressure.

Step-by-step explanation:

Volume and pressure are inverse to each other -- so the more pressure, the less volume, and vice versa. Think of it like this: if you were squished into a tiny room, there would be a lot of pressure on you, and not a lot of volume to move in!

You can also think of it numerically. The higher the V in that equation (the higher the denominator) the lower the p in the equation.

6 0

2 years ago

Read 2 more answers

If AC = x + 5 and AB = 3x - 1... what is the length of BC?

Hatshy [7]

If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6

Read more on Brainly.com - brainly.com/question/11324096#readmore

4 0

3 years ago