1/26
In a standard pack of 52 playing cards there are 2 black 6 's
The 6 of spades and the 6 of clubs
Probability = number of favourable outcomes / number of possible outcomes
P( black 6 ) =2/52 = 1/26 in simplest form
Answer:
Table 3; Blue graph; y = -4; 2x-3y = 7.
Step-by-step explanation:
Table 3 is a linear relationship because the y-coordinates, or outputs, change by the same rate throughout the table. A constant rate of change defines a linear function.
The blue graph is linear because it is a straight line.
The equation y = -4 is linear because it is the equation of a horizontal line at -4. A function with a line for a graph is linear.
The equation 2x-3y = 7 is linear because it is written in standard form of a linear function, Ax+By = C (in this case A = 2, B = -3 and C = 7).
Answer:
x = 58°
Step-by-step explanation:
First, we need to find the green angle on the bottom left of the triangle.
We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.
Equation:
114 + a = 180
Solve:
114 + a = 180
-114 -114
a = 66
Therefore, the value of the green angle is 66 degrees.
Now, we need to find the value of angle x.
We know that the sum of the angles in a triangle is 180 degrees.
So, 56° + 66° + x = 180°
Equation:
56 + 66 + x = 180
Add:
56 + 66 + x = 180
122 + x = 180
Subtract:
122 + x = 180
-122 -122
x = 58
Therefore, x is 58 degrees.
X equals 180-the angle adjacent to the x.
