Answer:
B) The system graphs as one line.
Step-by-step explanation:
The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.
So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.
Hope this helps!
<u>Question 2</u>
1) (given)
2) (reflexive property)
3) are right angles (perpendicular lines form right angles)
4) are right triangles (a triangle with a right angle is a right triangle)
5) (HL)
<u>Question 3</u>
1) is a right angle, (given)
2) is a right angle (perpendicular lines form right angles)
3) are right triangles (a triangle with a right triangle is a right angle)
4) (reflexive property)
5) (HL)
6) (CPCTC)
7) bisects (if a segment splits an angle into two congruent parts, it is an angle bisector)
Answer: He has 8 dimes
Step-by-step explanation:
X= 36 for the first problem.
X= 48 for the second problem.
X= 80 for the third problem.
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = (15x + 10) degrees
Angle B = (15x - 10) degrees
Angle C = (3x + 15) degrees
Therefore,
15x + 10 + 15x - 10 + 3x + 15 = 180
15x + 15x + 3x + 10 - 10 + 15 = 180
33x + 15 = 180
Subtracting 15 from the left hand side and the right hand side of the equation, it becomes
33x + 15 - 15 = 180 - 15
33x = 165
Dividing the left hand side and the right hand side of the equation by 33, it becomes
33x/33 = 165/33
x = 5
Angle A = 15 × 5 + 10 = 85 degrees