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3 years ago

EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x.

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

X=11
The triangle equals to 180
Hope this helps!!

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Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 h

WARRIOR [948]

Answer:

11.50 x 40 regular hours is $460

double time is 11.50 x 2 = $23 an hour

She makes $23 an hour for 8 hours = $184

$460 + $184 = $644 paycheck

5 0

3 years ago

There are about 1.5 grams of fat in 1 tablespoon of hummus. How many grams of fat are in 2 1/2 cups of hummus? ( Note: 16. Table

grin007 [14]

2 and 1/2=2.5cups
2.5 times 16=40tablespoons

1.5g=1tbs
1.5 times 40=60
60 grams

8 0

3 years ago

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78+22=22+78<br> (16+4)+11=(11+4)+16<br> (12+8)+9=(9+8)+12

Ksju [112]

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4 0

3 years ago

I WILL MARK YOU BRAINLIEST PLEASE !!!!

Illusion [34]

Answer:

Step-by-step explanation:

8 0

2 years ago

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

3 years ago