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Phantasy [73]
3 years ago
14

How do I solve for #23​

Mathematics
2 answers:
Natalija [7]3 years ago
8 0

Answer:

137

43

Step-by-step explanation:

A straight line is another way of saying that the angle making the straight line always has 180 degrees. So the two angles in brown add up to 180 degrees.

6x + 20 + 2x + 4 = 180                Combine like terms on the left.

8x + 24 = 180                               Subtract 24 from both sides.

8x + 24-24 = 180-24

8x = 156                                        Divide both sides by 8

8x/8 = 156/8                                  Do the division

x = 19.5

The two angles are

6x + 20 = 6*19.5 + 20 = 117 + 20 = 137

2x + 4 = 2*19.5 + 4 = 39 + 4 =          43

These do add to 180

fomenos3 years ago
4 0

Answer:

m<RQS = 43 deg

m<TQS = 137 deg

Step-by-step explanation:

The measure of a straight angle is 180 deg.

The measures of angles RQS and TQS add up to 180 deg.

m<TQS + m<RQS = 180

6x + 20 + 2x + 4 = 180

8x + 24 = 180

8x = 156

x = 19.5

m<RQS = 2x + 4 = 2(19.5) + 4 = 43

m<TQS = 6x + 20 = 6(19.5) = 137

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kotegsom [21]
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Constant of proportionality is 4

equation: x/y = 4

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5 0
3 years ago
Read 2 more answers
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
2 years ago
!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
USPshnik [31]

Answer:

rectangular prism

Step-by-step explanation:

The sides fold up into a rectangular shaped box, or a prism. Hope this helps!

4 0
3 years ago
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