<h3>
Answer: 35 inches</h3>
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
Answer:
The statement that is true about dot plot is:
A dot plot shows the frequency of the individual values of any given data set
Step-by-step explanation:
A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.
The dot plot is somewhat like the histogram but the difference is:
A histogram shows the frequency of an interval of values of any given data set.
for example:
we may make a histogram for the weight of students of a class.
since we may divide the weight of the students into some interval.
whereas the dot plot gives the frequency of the individual data points or discrete data points.
for example:
we may plot a dot plot for rolling a number cube 20 times.
Hence, the correct statement is:
A dot plot shows the frequency of the individual values or of any given data set.
Answer with explanation:
Theorem : The diagonal of a parallelogram divides it into two congruent triangles.
Properties of parallelogram
1. Opposite sides are equal and parallel.
2. Diagonal bisect each other.
3. Opposite Angles are equal.
If you will look at the first three options
A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)
B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)
C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)
D: Consecutive angles of a parallelogram are supplementary.→→→→True
For,any parallelogram, having vertices , A, B and C and D
Opposite sides are parallel, so
1.∠A + ∠B=180°
2.∠C + ∠B=180°
3.∠C+ ∠D=180°
4. ∠A + ∠D=180°
Option D
Answer:
I think its true
Step-by-step explanation: