Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
The interquartile range is 12-6=6
The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
<h3>How to solve the triangle?</h3>
From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
Learn more about triangles on:
brainly.com/question/17335144
If you cut the rectangle (the wall) diagonally, you get two congruent triangles. The measurements of the sides of one the triangles is 8, 15 and x. There is a pythagorean triples 8, 15, 17 so x has to be 17. if you dont know the triple you can do a^2 + b^2 = c^2 8^2 + 15^2 = c^2 c = 17
the diagonal of wall should be 17