Answer:
28 degrees
Step-by-step explanation:
step 1
Find the measure of angle 1
----> by supplementary angles
![m\angle 1=180^o-65^o=115^o](https://tex.z-dn.net/?f=m%5Cangle%201%3D180%5Eo-65%5Eo%3D115%5Eo)
step 2
Find the value of x
----> by corresponding angles
substitute
![(10x+5)^o=115^o](https://tex.z-dn.net/?f=%2810x%2B5%29%5Eo%3D115%5Eo)
![10x=110\\x=11](https://tex.z-dn.net/?f=10x%3D110%5C%5Cx%3D11)
step 3
Find the measure of angle 2
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
![m\angle 1+m\angle 2+(4x-7)^o=180^o](https://tex.z-dn.net/?f=m%5Cangle%201%2Bm%5Cangle%202%2B%284x-7%29%5Eo%3D180%5Eo)
substitute
![115^o+m\angle 2+(4(11)-7)^o=180^o](https://tex.z-dn.net/?f=115%5Eo%2Bm%5Cangle%202%2B%284%2811%29-7%29%5Eo%3D180%5Eo)
![m\angle 2=180^o-152^o=28^o](https://tex.z-dn.net/?f=m%5Cangle%202%3D180%5Eo-152%5Eo%3D28%5Eo)
4: 7,14,21,28,35
6: 10,8,6,4,2
8: 9,7,5,3,1
Answer:
48
Step-by-step explanation:
Let A and B be the two people who are able to drive. If A is driving, there are 4! ways to arrange the remaining peoplein the car seats. If B is driving, there are also 4! ways to arrange the remaining people. The number of arrangements 'n' is:
![n=2*4!\\n=2*4*3*2*1\\n=48\ ways](https://tex.z-dn.net/?f=n%3D2%2A4%21%5C%5Cn%3D2%2A4%2A3%2A2%2A1%5C%5Cn%3D48%5C%20ways)
They can be arranged in 48 ways.
Answer:
Range= $144,000
Step-by-step explanation:
The least amount for each car is 22,000 and the highest is 25,000
so assuming the dealer sells all of them the lowest price, the revenue would be, $1,056,000 (that would be the lowest revenue) and assuming he sells all the cars at the highest price, the dealer will get a revenue of $1,200,000. So the lowest revenue is 1,056,000 and the highest revenue is 1,200,000. So to find the range subtract the highest revenue by the lowest and you’ll get $144,000.