A) For ΔJKL use the Triangle Proportionality Theorem to solve for x.
1 answer:
Answer:
Part a) The value of x is 10
Part b) The perimeter of triangle JKL is
Step-by-step explanation:
Part a) Find the value of x
we know that
The <u>Triangle Proportionality Theorem,</u> states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally
Part b) we know that
The perimeter of triangle JKL is equal to
substitute the values
substitute the value of x
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Answer:
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
Step-by-step explanation:
we have
-----> First equation
-----> Second equation
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (1,7)
The ordered pair (7,19) lie on the first line, so is a solution of the first equation
see the attached figure
<u><em>Verify each statement</em></u>
case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The statement is true
case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true
The statement is false, because the ordered pair (7,19) not lie on the second line
case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
The statement is true
case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true
The statement is false,because it makes only the first equation true
