Answer
x 
-1
Step-by-step explanation:
Answer:
2+x=5
x+1=4
(-5)+x=-2
are equivalent
(x=3)
Step-by-step explanation:
Answer:
y-4=4(x-1)
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side, so we can write the equation like this.
y=4x
To find the equation in point-slope form, we know that when x=1, y=4. This gives us the point, (1,4). We also know that the slope of the equation is 4.
Plug the coordinate point into the point slope formula.
y-y1=m(x-x1)
y-4=4(x-1)
Answer:
The area of triangle QUV is 24 square feet
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Explanation:
Segment TV is the base of the green parallelogram PRTV
The height is segment RS which is 8 ft. This is marked as the perpendicular dashed segment line (note the right angle marker). RS is perpendicular to SV, which in turn means RS is perpendicular to TV as well.
Area of Parallelogram = Base*Height
96 = TV*RS
96 = TV*8
96/8 = TV
12 = TV
TV = 12
Segment TV is composed of TU and UV, both of which are congruent segments. The single tickmarks show this. The instructions also state "the lengths of segment TU an segment UV are equal"
So TU = UV
TU + UV = TV
UV + UV = TV
2*UV = TV
2*UV = 12
UV = 12/2
UV = 6
The height of triangle QUV is also RS = 8 because triangle QUV is completely enclosed inside the parallelogram, and because RS is perpendicular to UV. The base of triangle QUV is the segment UV = 6
Area of triangle QUV = (base)*(height)/2
Area of triangle QUV = UV*RS/2
Area of triangle QUV = 6*8/2
Area of triangle QUV = 48/2
Area of triangle QUV = 24 square feet
False because 90 is grater right
