∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°
We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).
Since it forms a straight line, ∠BAE is 180°.
Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.
We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
Answer:
2731
Step-by-step explanation:
Mark me brainiest
Step-by-step explanation:

Answer:
<h2><em><u>23</u></em><em><u> </u></em><em><u>days</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
No. of days taken by Jenny to read 7 books
= 8
<em><u>So</u></em><em><u>,</u></em>
No. of days taken by her to read 1 book

<em><u>Therefore</u></em><em><u>,</u></em>
No. of days taken by her to read 20 books

- <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

- <em>[</em><em>On</em><em> </em><em>dividing</em><em>]</em>
= 22.85.....
- <em>[</em><em>On</em><em> </em><em>approximating</em><em>]</em>
= 23 days (approx. )
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Jenny</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>take</u></em><em><u> </u></em><em><u>23</u></em><em><u> </u></em><em><u>days</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>read</u></em><em><u> </u></em><em><u>20</u></em><em><u> </u></em><em><u>books</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)