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deannajd03
03.10.2019 •
Mathematics
Can someone explain how to find the measure of all the missing angles
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Ответ:
a = 68°, b = 112°, c = 68°
Step-by-step explanation:
112° is a vertical angle to the one with the line through it, therefore they are equal. The angle opposite to b is equal to the one opposite to 112°. b and 112° are vertical angles, so b = 112°. a is a supplementary angle to b, so b + a = 180°. 112° + a = 180°, so a = 68°. c is vertical to a, c = 68° as well.
I hope this helps!
Ответ:
x = -5, y = 31/7, and z = 30/7
Step-by-step explanation:
Step 1: Convert the system into the augmented matrix form:
•224|16
•1-23|-1
•12-3|-9
Step 2: Divide row 1 by 2 and multiply row 2 with -1 and add it into row 3:
•112|8
•1-23|-1
•04-6|-8
Step 3: Divide row 3 by 2 and multiply row 1 with -1 and add it into row 2:
•112|8
•0-3 1|-9
•02-3|-4
Step 4: Multiply row 2 with 2/3 and add it into row 3:
•112|8
•0-3 1|-9
•00-7/3|-10
Step 5: It can be seen that when this updated augmented matrix is converted into a system, it comes out to be:
•x + y + 2z = 8
•-3y + z = -9
•(-7/3)z = -10 (This implies that z = 30/7.)
Step 6: Since we have calculated z = 30/7, put this value in equation 2:
•-3y + 30/7 = -9
•-3y = -93/7
•y = 31/7.
Step 7: Put z = 30/7 and y = 31/7 in equation 1:
•x + 31/7 + 2(30/7) = 8
•x = 8 - 60/7 - 31/7
•x = -5.
The mentioned options are incorrect (it can be verified by substituting all the options in the system one by one).
So final answer is x = -5, y = 31/7, and z = 30/7!!!