Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
1a. Y = mx + b
Y = 2x + b
-2 = 2(5) + b
-2 = 10 + b, b = 12
Equation: y = 2x + 12
1b. Standard form: Ax + By = C
subtract 12 and y from both sides
2x - y = -12
Equation: 2x - y = -12
Answer:
5/(760=76
Step-by-step explanation:
The expected value of the game is $2.00.
To Find: The fair price to pay to play the game of rolling a colored die with three red sides, two green sides, and one blue side
Now the question arises how to find the Fair Price
We are told that in the game of rolling the colored die;
A roll of a red loses.
A roll of blue pays 5.00 and A roll of green pays 2.00.
Now, the best game to get the fairest price is to play; RRRGGB i.e (RED, RED, RED, GREEN, GREEN,BLUE)
Fair price = 2(3/6) + 6(1/6) + 0(2/6)
Fair price = $2
Read more about Fair Price at; brainly.com/question/24855677
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If you're looking for c, then the answer is 6 in. I found this answer by using a2+b2=c2 So 4 squared + 5 squared = 41. So then i found the square root of 41 which is 6.40, which rounds to 6.