Think about the fact that you can have two types of isosceles triangle: one of them that is a right triangle (isosceles right triangle) such as a 45-45-90 triangle and the other type can be just a regular triangle that has two sides that are congruent but it isn't a right triangle.
Thus, you would need more info about the triangles in order to conclude that the two isosceles triangles are congruent to each other.
Answer:
a = 3 and b = 4
Step-by-step explanation:
Independent Equations
Lines intersect
One solution
In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.
Let x represent the first number, y represent the second, and z represent the third.
x + y + z = 92
z = 3x
x = y - 7
Solve x = y - 7 for y.
x = y - 7
x + 7 = y
Fill in y and z so that we only have to worry about x for now.
x + y + z = 92
x + (x + 7) + (3x) = 92
x + x + 7 + 3x = 92
5x + 7 = 92
5x = 92 - 7
5x = 85
x = 85/5
x = 17
Solve for y.
y = x + 7
y = (17) + 7
y = 24
Solve for z.
z = 3x
z = 3(17)
z = 51
So x = 17, y = 24, and z = 51.
The answer you just add and subtract
7+9=16
43-5=38
