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3 years ago

90° 30 x help me with this work

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

90°

Step-by-step explanation:

$x + 90 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: x = 180 \degree - 90 \degree \\ x = 90 \degree$

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There are 13 salespeople at a car dealership. last year, they each sold the same number of cars. Together, they sold 1,157 cars.

klemol [59]

Answer:

Each salesperson sold 89 cars last year.

Step-by-step explanation:

13x = 1157 Set up an equation with an x-varible in place of the number of cars to be found

13x/13 = 1157/13 Divide 1157 by 13

x = 89

3 0

3 years ago

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:

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

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2 years ago

The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures

hoa [83]

Answer:

ans is 16°,40°and64°

let ratio be 2x,5xand 8x

Step-by-step explanation:

their sum=120°

2x+5x+8x=120

15x=120

x=120/15=8°

2x=2×8=16°

5x=5×8=40°

8x=8×8=64°

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3 years ago

What is the probability of the spinner landing on 1 or 3

yan [13]

Answer:

Assuming there are 3 possibilities for the spinner, the answer is $\frac{2}{3}$

Step-by-step explanation:

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2 years ago

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erastova [34]

Answer:

3. x=21

4. x=28

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Step-by-step explanation:

I did ths step by step on my whiteboard and I know my answers are right. Sorry if that sounds cocky.

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2 years ago