Answer:
Step-by-step explanation:
1. rotation 90 degrees clockwise
2.reflection over y axis
3.rotation 180
4.reflection over x axis
5.rotation 90 degrees counter clockwise
Answer:
Part 1) ![m\angle AFE=55^o](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D55%5Eo)
Part 2) ![m\angle EFB=125^o](https://tex.z-dn.net/?f=m%5Cangle%20EFB%3D125%5Eo)
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so
![m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D%5Cfrac%7B1%7D%7B2%7D%28arc%5C%20EA%2Barc%5C%20DB%29)
substitute the given values
![m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o](https://tex.z-dn.net/?f=m%5Cangle%20AFE%3D%5Cfrac%7B1%7D%7B2%7D%2840%5Eo%2B70%5Eo%29%3D55%5Eo)
Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value
![55^o+m\angle EFB=180^o](https://tex.z-dn.net/?f=55%5Eo%2Bm%5Cangle%20EFB%3D180%5Eo)
![m\angle EFB=180^o-55^o=125^o](https://tex.z-dn.net/?f=m%5Cangle%20EFB%3D180%5Eo-55%5Eo%3D125%5Eo)
3(5j+2)=2(3j-6) do distributed to remove parenthesis 15j+6=6j-3 . Then move all j to left side and the second term to right side 15j-6j=-3-6. Now solve both sides 9j= -9. Now divide both sides by 9 to get j alone to j = -1
Answer:
1. $686.94
2. $735.03
3. $10707.55
4. $17631.94
5. $19635.72
Step-by-step explanation:
1st Question:
The interest rate is 7% for each year. This means that each year the person has to pay 7% more than the previous amount. So we need to multiply the initial amount by (0.07+1=1.07) in order to get the interest for the first year. if we want to find the second year's interests then we will have to multiply 2 (1.07)'s and so on.
in this case our function is: 600*(1.07)^t=P(t)
when t=2 P(2)=600*(1.07)^2=$686.94
2nd Question:
Function: 600*(1.07)^t=P(t)
when t=3 P(3)=600*(1.07)^3=$735.03
3rd Question:
initial value=$8500
1+0.08=1.08
Function: 8500*(1.08)^t=P(t)
t=3
P(3)=8500*(1.08)^3=$10707.55
4th Question:
initial value=$12000
1+1.08=1.08
t=5
Function: P(t)=12000*(1.08)^t
P(5)=12000*(1.08)^5=$17631.94
5th Question:
Function: 14000*(1.07)^t=P(t)
P(5)=14000*(1.07)^5
P(5)=$19635.72
Answer:
yesterday 9 today 10
Step-by-step explanation:
46/5= 9.2
52/5= 10.4