Answer:
Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:
Since we know their equations, substitute:
Solve for x. Combine like terms on the left:
Subtract 9 from both sides:
Divide both sides by 9:
So, the value of x is 9.
We want to find A. So, let's use the equation for A:
Substitute 9 for x:
Add:
So, the measure of A is 17°.
The correct answers are:
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
Putting the point in x+3y=22
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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