Answer: The equation for line b is 
The equation for line t is 
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
Answer:
Step-by-step explanation:
Statements Reasons
AB // DC Given
AD // BC Given
AC ≅ AC Reflexive property
∠BAC ≅ ∠DCA Alternate interior angles
∠ACB ≅ ∠DAC Alternate interior angles
ΔCAB ≅ ΔDAC A S A
AD ≅ BC CPCT
Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
Answer:
There is money left over. They have 48.98 dollars left.
Step-by-step explanation:
Men costumes in total cost $102.68 and women costumes in total cost $248.34. There budget it $400 so we add both the men and women costumes together which is $351.02 which means that they do have left over money. To find the left over money, we have to subtract $400 from $351.02 which is equal to $48.98.
