∠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:
-22
Step-by-step explanation:
4 + 9 + (16 ÷ 4 - 8 - 3) × 5
= 13 + (4 - 8 - 3) × 5
= 13 - 7 × 5
= 13 - 35
= -22


|x - 5| = 16
x - 5 = +/- 16
x - 5 = 16 or x - 5 = -16
<u> +5</u> <u>+5 </u> <u> +5 </u> <u>+5 </u>
x = 21 or x = -11
Answer: x = {21, -11}
Answer:
<u>40°</u>
Step-by-step explanation:
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x) = 1/x - 1
Domain
All real numbers except for {0}