<u>Given</u>:
The measure of
is 162°
We need to determine the measure of ∠EAB
<u>Measure of ∠EAB:</u>
Let us determine the measure of ∠EAB
We know that, "If a tangent and chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc".
Applying the above theorem, we get;
![\angle EAB=\frac{1}{2} m(\widehat{ADB})](https://tex.z-dn.net/?f=%5Cangle%20EAB%3D%5Cfrac%7B1%7D%7B2%7D%20m%28%5Cwidehat%7BADB%7D%29)
Substituting
, we get;
![\angle EAB=\frac{1}{2}\times 162^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20EAB%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20162%5E%7B%5Ccirc%7D)
Dividing, we get;
![\angle EAB=81^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20EAB%3D81%5E%7B%5Ccirc%7D)
Thus, the measure of ∠EAB is 81°
Answer:
- 81/2 or -40 1/2
Step-by-step explanation:
3 4/5 (-10)-2 1/2
<span>7650 i think that is the answer please correct me if that wrong
</span>
pls xd
Answer:
We must have less than 10 guests
Step-by-step explanation:
Location 1
cost = 100h+20p where h = hours and p = person
Location 2
cost = 600 for p < 25
Since there are less than 25 guests and h = 4 both equations are valid
Location 1
cost = 100(4)+20p = 400+20p
Location 2
cost = 600
We want location 2 to be less expensive
600< 400+20p
Subtract 400 from each side
600-400 < 20p
200 <20p
Divide by 20
200/20 < 20p/20
10 <p
We must have less than 10 guests
We have to calculate a monthly annuity.
Total = Monthly Amount * [(1 + rate)^(n + 1) -1] / [rate] - Monthly Amount
where "n" is the number of compounding periods per year.
and n = 4.5*12 = 54
rate = rate/n = .055 / 12 =
<span>
<span>
<span>
0.0045833333
</span>
</span>
</span>
Total = 100 * [(1<span>.0045833333)^55 -1] / [</span><span><span><span>
<span>
0.0045833333
</span>
</span>] -100
</span>
</span>Total = 100 * <span><span><span>0.2859624157
/ </span>
</span>
</span>
[<span><span>
0.0045833333
</span>] -100
</span>Total = <span>28.59624157 / </span>[<span>
0.0045833333
] -100
</span>Total =
<span>
<span>
<span>
6,239.18 -100</span>
</span></span>Total =
6,139.18
Source:
http://1728.org/annuity3.htm formula
http://1728.org/annuitym.htm calculator