<h3>
Answer: B. Diagonals are congruent.</h3>
Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).
Answer:
(a) $4250,
(b) $5225.
Step-by-step explanation:
Let n represent number of months.
We have been given that John saves $3500 the first month and every month later decreases it by $75.
First of all, we will find formula of John's savings in n months using arithmetic progression, where, 1st term is 3500 and common difference is 75.
, where,
n = Number of terms in a sequence,
d = Common difference.
(a) To find John's savings in 11 months, we will substitute in above formula.
Therefore, John would have saved $4250 in the 11th month.
(b) To find John's savings after 2 years, we will substitute in above formula.
Therefore, John would have saved $5225 in 2 years.
3^2w^9
Step by step solution :
Step 1 :
Equation at the end of step 1 :
0 - (9w • (0 - 3w8))
Step 2 :
Multiplying exponential expressions :
2.1 w1 multiplied by w8 = w(1 + 8) = w9
Multiplying exponents :
2.2 32 multiplied by 31 = 3(2 + 1) = 33
Equation at the end of step 2 :
0 - -33w9
Step 3 :
Final result :
33w9
The figures will be similar (and also congruent) for the transformations ...
(-x, y)
(x+2, y-5)
(x, y)
_____
The transformation (2x, 4y) expands the figure twice as much in the vertical direction as in the horizontal direction. The result will not be similar to the original.
Answer:
Denote B(x, y), we have:
-10 + x = 2 x (-16) => x = -22
8 + y = 2 x 6 => y = 4
=> B(-22, 4)
Hope this helps!
:)