Answer:
13.7 cm
Step-by-step explanation:
- there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
- since we know that 360°-260.4°=99.6°
- The angle measure of arc AD is 99.6°
Now that we covered that, we can use the arc length formula in order to find the length of arc AD.
- arc length = 2πr(Θ/360°)
- 2π(7.9)(99.6°/360°) = 13.7329
- rounded to the nearest tenth = 13.7
Answer:
25
Step-by-step explanation:
180-90-65 = 25
Opposite angles are same
In light of the fact that point y is the point at which segment xz is divided, the value of the variable an is equal to 4.
<h3>How can I determine what the value of the variable an is?</h3>
Due to the fact that point y divides segment xz into two distinct halves, the following equation may be used to get segment xz's total length:
xz = xy + yz.
The following are the parameters for the test:
xy = 7a. yz = 5a. xz = 6a + 24.
As a result, we need to substitute into the equation and then solve for a.
xz = xy + yz
6a + 24 = 7a + 5a
12a = 6a + 24
6a = 24
a = 24/6
a = 4.
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Answer: y=-3x+29
Step-by-step explanation:
First put in y-intercept form to find the slope

Slope of the 1st equation is 1/3- the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3
Use the point and the new slope to write the new equation in point slope format

Polar coordinates=<span>(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?
x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6
y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6
Rectangular coordinates of the point = (x,y) =(-6,6)
Answer: Option a. (-6,6) </span>