All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "<span>opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.
Answer: B. rectangle
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Answer: Histogram
You can eliminate the stem and leaf plot, since it tells you the amount of values.
You can eliminate the dot plot, since it also shows you the number of values.
You can eliminate the frequency table, since it calculates the frequency of a number.
Thus, the answer is the histogram.
3x+2y=6 -
8x+2y=2
_________
-5x=4
x=-4/5
-2.4+2y=6
y=8.4
Answer:
They took 4,180 minutes total to complete the course.
Step-by-step explanation:
The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:
total time = average*number of members = 110*38 = 4180 minutes
They took 4,180 minutes total to complete the course.
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
