Answer:
162
Step-by-step explanation:
260/2=130
130+32=162
Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
Answer: P(not shaded sector) = 0.50
Step-by-step explanation:
Since we have given that
Number of shaded parts = 6
Number of unshaded parts = 6
Total parts = 6+6 = 12
So, Probability of getting not shaded sector is given by
Hence, P(not shaded sector) = 0.50
I think you can find it graphically by points through a table you create like:
let x = 0, and find the value of y
for example for the first equation when we let x = 0 you find y = 6 and be in the form of (0,6) then draw them or you can let x = -2 or -3 , etc as you like
to be more accurate you can find 3 pionts and start graphing them
these two equations are straight lines and they will intersect in a point
