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Scilla [17]
3 years ago
12

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}

7 0
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°

7 0
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:

7 0
2 years ago
Please answer I will mark branlest if you are right and I won't you all to be safe
erastova [34]

Answer:

3. x=21

4. x=28

5. x=35

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.

Can I get brainliest?

3 0
2 years ago
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