Answer:
The measure of the angles of a parallelogram are ∠A = 120°, ∠B = 60°, ∠C = 120° and ∠D = 60°.
Step-by-step explanation:
The consecutive angles of a parallelogram are supplementary, i.e. they sum up to 180°.
Consider the parallelogram ABCD.
∠A and ∠D and ∠B and ∠C are consecutive angles.
In a parallelogram opposite angles are equal.
That is: ∠A = ∠C and ∠B = ∠D.
Using the provided information, suppose ∠A = 2 × ∠D.
Compute the value of ∠A and ∠D as follows:
∠A + ∠D = 180°
2∠D + ∠D = 180°
3∠D = 180°
∠D = 60°
Then the measure of ∠A is:
∠A = 2∠D
= 2 × 60°
= 120°
Now the measure of ∠B and ∠C are:
∠C = ∠A = 120°
∠B = ∠D = 60°
Thus, the measure of the angles of a parallelogram are ∠A = 120°, ∠B = 60°, ∠C = 120° and ∠D = 60°.
Answer:
Step-by-step explanation:
Given:
To write: the given expression using summation notation
Solution:
Summation notation helps to write a long sum as a single expression.
In the summation notation, the variable is called the index of summation.
Let denote a set of n numbers.
Then in summation notation,
Answer:
C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
Step-by-step explanation:
If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are <em>not congruent</em>.
