How many triangles can be construed with angle measurements 90,45,50......PLEASE HURRY!!!
1 answer:
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<h3>Answer: (-1, -3)</h3>
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How I got that answer:
- Step 1) Plot the point P = (-1,5)
- Step 2) Draw a horizontal line through 1 on the y axis to create the line y = 1.
- Step 3) Starting at point P, move down 4 spaces until you reach (-1,1) which is on the horizontal line. I'll call this point A.
- Step 4) Move another 4 spaces vertically downward until you arrive at (-1, -3). This is the location of P' and it is the final answer.
The distance from P' to A is the same as the distance from P to A. In other words, P'A = PA.
A diagram is provided below.
Answer:
The pair of equations is consistent
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, and
≠
, then the system is consistent independent and has exactly one solution
∵ x - 2y = 0
∴ The coefficient of x ⇒ a = 1
∴ The coefficient of y ⇒ b = -2
∴ The numerical term ⇒ c = 0
∵ 3x + 4y - 20 = 0
→ Add 20 to both sides
∴ 3x + 4y - 20 + 20 = 0 + 20
∴ 3x + 4y = 20
∵ The coefficient of x ⇒ d = 3
∵ The coefficient of y ⇒ e = 4
∵ The numerical term ⇒ f = 20
∵ a ≠ d
∵ b ≠ e
∵ c ≠ f
∵ =
∵ =
=
∴ ≠
→ By using rule 3 above
∴ The pair of equations is consistent