Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
Answer=7:13
Kenny's Weight*6/7=Melvin's Weight
So, for example, if Melvin's weigh was 7...
Kenny's Weight*6/7=7
divide both sides by 6/7
Kenny Weight=6
So we can say that Melvin's weight to Kenny's weight is 7:6
The boys total weights would be...
7+6=13
So Melvin's weight over the total weight of the two boys is:
7:13
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
Answer:
.2
Step-by-step explanation:
when the slope is 7.2 you subtract