Answer:
36
Step-by-step explanation:
Angle a is 180 - 117 = 63.
The angles of a triangle = 180, so 63 + 81 + b = 180 => b = 36.
Answer:
a
Step-by-step explanation:
Answer:
50% or 1/2
Step-by-step explanation:
There is an even amount of even and odd numbers on a number cube, therefor it is split half and half, giving you 50%.
Answer:
B
Step-by-step explanation:
For the given system of linear equations to give an infinite number of solutions the value of k should be 2.
<h3>What is a Dependent Consistent System of equations?</h3>
A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
Given the two systems of linear equations,
2x + 3y = 4
(k+ 2)x + 6y = 3k+2
For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,
2/(k+2) = 3/6 = 4/(3k+2)
Solving the ratio to get the value of k,
2/(k+2) = 3/6
2/(k+2) = 1/2
2 × 2 = 1 × (k+2)
4 = k + 2
4 - 2 = k
k = 2
Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.
Learn more about the System of equation here:
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