Answer:
x=4, y=2
Step-by-step explanation:
2x - y = 6
x + y = 6
Add these together to eliminate y
2x - y = 6
x + y = 6
-----------------
3x = 12
Divide by 3
3x/3 = 12/3
x=4
But we still need y
x+y =6
4+y =6
Subtract 4 from each side
4+y-4 = 6-4
y=2
The contrapositive of the statement p ⇒ q is not q ⇒ not p and both the statements are equivalent.
So, the contrapositive of the statement "If it is Friday, then Bruce has beans for supper" is "If Bruce does not have beans for supper, then, it is not Friday"
This is the last statement given and is the answer.
Hello there!
Here's what definitions I think match up with each term:
Equilateral triangle: a triangle with three congruent sides
Composite figure: a figure made up of two or more three dimensional figures
Parallelogram: a quadrilateral with opposite sides both parallel and congruent
Volume: the amount of space within a three dimensional figure
Rectangular prism: a three dimensional figure with six rectangular faces, twelve edges, and eight vertices
Regular polygon: a polygon with 5 sides
Triangular prism: a prism with two congruent triangular based
Obtuse triangle: a triangle with one obtuse angle
Face: a flat surface of a three dimensional figure
Polygon: a polygon with congruent sides/congruent angles
Square: a closed figure made up of line segments that do not cross each other
Hope this helped you out! :-)
Answer:
The length AD is greater than length BD.
Step-by-step explanation:
Hinge theorem states that if two triangles have two congruent sides then the triangle with the larger angle between those sides will have longer third side
In ΔACD and ΔBCD
So side opposite to greater angle is greater side
Therefore, length AD is greater than length BD.