Answer:
measurement of the indicated angle is 59°
Step-by-step explanation:
20x - 19 + 8x + 3 = 180
28x - 16 = 180
+16 +16
----------------------------------
28x = 196
------ ------
28 28
x = 7
8 (7) + 3 = 59
20 (7) - 19 = 121
Answer:
21
Step-by-step explanation:
lll
Answer:
The appropriate response will be "Zero (0)". A further explanation is given below.
Step-by-step explanation:
- This does not make any logical sense, it seems to be 15 feet from either the peak including its poles to something like the edge of that same wire, therefore half including its 30 would be 15 feet.
- This always implies that perhaps there is no space seen between points, the poles must've been interacting or overlapping.
The response is therefore "0".
Answer:
- Disitributive property.
- Addition property of equality.
Step-by-step explanation:
The complete exercise is attached.
For this exercise you need to remember the following properties:
1. The Distributive property states that:
![c(a+b)=ac+bc\\\\c(a-b)=ac-bc](https://tex.z-dn.net/?f=c%28a%2Bb%29%3Dac%2Bbc%5C%5C%5C%5Cc%28a-b%29%3Dac-bc)
2. The Addition property of equality states that:
![If\ a=b\ then\ a+c=b+c](https://tex.z-dn.net/?f=If%5C%20a%3Db%5C%20then%5C%20a%2Bc%3Db%2Bc)
Then, given the equation:
![4(2a + 3)= -3(a - 1) + 31 - 11a](https://tex.z-dn.net/?f=4%282a%20%2B%203%29%3D%20-3%28a%20-%201%29%20%2B%2031%20-%2011a)
You can identify that the first property John used was the Distributive property:
![(4)(2a) + (4)(3)= (-3)(a) +(-3)(- 1) + 31 - 11a\\\\8a+12=-3a+3+31-11a](https://tex.z-dn.net/?f=%284%29%282a%29%20%2B%20%284%29%283%29%3D%20%28-3%29%28a%29%20%2B%28-3%29%28-%201%29%20%2B%2031%20-%2011a%5C%5C%5C%5C8a%2B12%3D-3a%2B3%2B31-11a)
After combining like terms, you can identify that the next property he applied was the Addition property of equality, adding
to both sides of the equation:
![8a+12+(14)=-14a+34+(14)\\\\22a+12=34](https://tex.z-dn.net/?f=8a%2B12%2B%2814%29%3D-14a%2B34%2B%2814%29%5C%5C%5C%5C22a%2B12%3D34)