Answer:
since angle B and angle C contains the same arc AD. set the angles equal
11x-3=8x+15
x=6
so the angle has a measure of 63 degrees
the central angle is the angle of the arc
and it is always 2 times the angle that we just that contains the arc but does touches the end of the circle.
so its 63 *2 =126 degrees.
Answer:
what is the step by step of 1/ cos x csc^2 x = sin x/ cot x
Step-by-step explanation:
1
.
csc
x
=
1
sin
x
2
.
cot
x
=
cos
x
sin
x
Given,
1
−
cos
x
sin
x
=
csc
x
−
cot
x
Simplify the right side.
csc
x
−
cot
x
=
1
sin
x
−
cos
x
sin
x
=
1
−
cos
x
sin
x
∴
, LS
=
RS.
The total amount is $ 1015.82 and interest amount is $ 165.82
<em><u>Solution:</u></em>
<em><u>The formula for amount when interest is compounded annually is:</u></em>

Where,
"A" is the total amount
"P" is the principal
"r" is the rate of interest in decimal form
"n" is the number of years
<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>
P = 850
t = 9 years

<em><u>Substituting the given values we get,</u></em>

Thus total amount is $ 1015.82
Interest amount = Total amount - principal
Interest amount = 1015.82 - 850
Interest amount = 165.82
Thus total amount earned is $ 1015.82 and interest amount is $ 165.82
Answer:
SAS requires two congruent sides and the included angle be also congruent
Given is the picture are congruent triangles
<u>ΔACB ≅ ΔECD, because:</u>
- AC ≅ EC, given
- BC ≅ DC, given
- ∠ACB ≅ ∠ECD, vertical angles