Answer:
To Prove: Quadrilateral ABCD is a parallelogram.
Proof: In Δ ABE and ΔCDE
1. AE = EC and BE = ED [ Diagonals bisect each other]
2.∠ AEB = ∠ CED [ vertically opposite angles]
Δ ABE ≅ ΔCDE---------- [SAS]
∠ ACD ≅ ∠CAB [Corresponding angles of congruent triangles are congruent⇒This statement is untrue ∴ these are alternate interior angles not corresponding angles.]
6. The converse of alternate interior interior angle theorem states that if two parallel lines are cut by a transversal then alternate interior angles are equal.
7. In ΔBEC and ΔAED
∠BEC = ∠AED [ Vertical Angles Theorem ]
AE = EC and BE = ED [ Diagonals bisect each other]
⇒ ΔBEC≅ ΔDEA [ SAS criterion for congruence]
9. DBC ≅ BDA [ Corresponding angles of congruent triangles are congruent⇒This statement is untrue ∴ these are alternate interior angles not corresponding angles.]
As pair of triangles are congruent ∵ quadrilateral ABCD is a parallelogram.
Step 3 is m∠AEB = m∠CED
These pair of angles are vertically opposite angles of ΔAEB and ΔCED.
Option [D. Vertical Angles Theorem] is correct.
To find cost per ounce divide the total price by the total ounces.
1.4 / 3.5
$ 0.40 per ounce
Hello there. =)
<span>Ann is grouping 38 rocks .she can put them into groups of 10 rocks or as single rocks. what are the different way Ann can group the rocks?
</span><span>2 groups of 19</span>
Answer:
a} The image is congruent to the pre-image.
c} The image could be moved left or right.
d} The image could be moved up or down.
Step-by-step explanation:
i took the test
Answer:
The correct option is;
A). Randomized block design
Step-by-step explanation:
In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block
The groups can therefore comprise of the following;
Group 1
15 men and 15 women to perform water aerobics for 30 minutes twice a week
Group 2
15 men and 15 women to perform water aerobics for 60 minutes once a week
Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.
