Answer:
DEC+DEF=180
DEC=180-116
DEC=64°
in triangle DCE
angle D+angle C+angle E=180
7y+6+4y+64=180
11y+70=180
11y=180-70
11y=110
y=110/11
y=10°
angle C=4y
=4(10)
=40°
In this problem, an angle like angle BAC where the
vertices like on the circle itself is called the inscribed angle.
While angle BOC, where O is the center of the circle, is
called the central angle.
Using Proposition III.20 from Euclid's Elements, this is called
the Inscribed Angle Theorem wherein:
∠BOC = 2∠BAC
or ∠BOC / 2 = ∠<span>BAC</span>
Simplifies to:
1.690196x+396.139706=2
Let's solve your equation step-by-step.
1.690196x+396.139706=2
Step 1: Subtract 396.139706 from both sides.
1.690196x+396.139706-396.139706=2-396.139706
1.690196x=-394.139706
Step 2: Divide both sides by 1.690196.
1.690196x/1.690196 -394.139706/1.690196
x= -233.191716
Answer: x= -233.191716
<h3>
Answer:</h3>
It would be 21b² -32b -5
<h3>
Step-by-step explanation:</h3>
By using the FOIL method, you can simplify the equation.
<em>The Foil Method is </em><u><em>ac + ad + bc +bd</em></u><em>, or </em><u><em>First, Outer, Inner, Last.</em></u>
First, you multiply the first term in each bracket.
3b * 7b = 21b²
Next, you multiply the outer term in each bracket.
3b * 1 = 3b
Then, you multiply the inner term in each bracket.
-5 * 7b = -35b
After that, you multiply the last term in each bracket.
-5 * 1 = -5
Lastly, you combine like terms.
21b² + 3b -35b -5 ---> 21b² -32b -5
<em>21b² -32b -5 would be your answer, since you cannot simplify the equation anymore.</em>
