Answer:
x = 12
Step-by-step explanation:
The sum of exterior angles is = 360
one of the angle is given we will need to add all three angles
128 + 8x + 11x + 4 = 360 add like terms
19x + 132 = 360 subtract 132 from both sides
19x = 268 divide both sides by 19
x = 12 replace x in required expressions to find the measure of the angles
Answer: 7x-5
Step-by-step explanation:
Answer
Find out the solution to the system of equations .
To prove
As the equations are
y = x – 10 , 4 = 2xy
in the equation y = x – 10
Than the equation becomes
2x² - 20x - 4 = 0
Taking 2 as common
x² - 10x - 2 = 0
Now using the discriment formula
Here a = 1 , b = -10 , c = -2
Put in the above
Thus the solution are
Put in the 4 = 2xy
When
Put in the 4 = 2xy
a) The step function seen in the figure has 6 pieces, one for each step
b) There are 6 intervals, one for each piece. Their values are:
(0, 1]
(1, 2]
(2, 3]
(3, 4]
(4, 5]
(5, 6]
c) The open circles indicate that the endpoint is not included in the interval. The closed circles indicate the endpoint is included in the interval.
For example, in the second interval, 1 is not included (open circle) and 2 is included (closed circle).
d) This is a function because for eac value of x there iss one and only one of y. If the open circles were closed circles, then thi wouldnot be a function.
e) All the pieces are linear because their graph is a line (flat horizontal line)
f) The range of the function is the set of output values:
Range = {46, 48, 50, 32, 54, 56}
Answer:
1 = 26
2 = 154
3 = 26
4 = 26
5 = 154
6 = 26
7 = 154
Step-by-step explanation:
1 = 180 - 154 = 26
2 = 154
3 = 1 = 26
4 = 180 - 2 = 180 - 154 = 26
5 = 180 - 4 = 180 - 26 = 154
6 = 5 = 154
7 = 4 = 26