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3 years ago

Find the value of x line 1 and m are parallel Helppp

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

Answer:

The angle ACB = 50 degree.

Step-by-step explanation:

Given that angle E = 40 degree

Angle D = 90 degree

Triangle ABC is congruent to triangle DEC.

Now Angle ACB = Angle ECD = 90 -40 = 50 degree

So, angle ACB = 50 degree.

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Shop is giving 10% discount on each item the mark price of an item is $60 so the discount amount should be

maxonik [38]

<h3>Answer: $6</h3>

Explanation:

To take 10% of anything, move the decimal point 1 spot to the left.

The number 60.0 will become 6.00 or simply 6.

In other words, we chop off the 0 at the end go from 60 to 6.

6 0

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

3 0

3 years ago

Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit

Tema [17]

Answer: 3

Step-by-step explanation: QPEX VERIFIED JUST DID IT

4 0

3 years ago

Question 9

True [87]

Answer:

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

5 0

3 years ago

Factor the expression 1.5x+6

swat32

There is no way to factor this so i would assume the answer is no solution.

7 0

3 years ago