Bryan is taking a road trip to Dallas, Texas. His car can travel 315 miles with 18 gallons of gas. Bryan's s car holds 20 gallon
2 answers:
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Given that the opposite sides of a parallelogram are congruent, a diagonal
of the parallelogram forms two congruent triangles.
The correct options to complete the proof are;
- <u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
- <u>Reflexive property of congruency</u>
- <u>SSS</u>
Reasons:
The completed two column proof is presented as follows;
Statement Reason
1. ABCD is a parallelogram 1. Given
2. ≅
and
≅
2. <u>Opposite sides of a parallelogram</u>
3. ≅
3. <u>Reflexive property of congruency</u>
4. ΔABC ≅ ΔCDA 4. <u>SSS</u>
The correct options are therefore;
<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
Reflexive property of congruency
SSS;
Reason 2. Opposite sides of a parallelogram, which is based on the
properties of a parallelogram and that ABCD is a parallelogram.
Reason 3. The reflexive property of congruency, states that a side is
congruent to itself.
Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency
postulate that states that if the three sides of one triangle are equal to the
three sides of another triangle, then the two triangles are congruent.
Learn more about parallelograms here:
You have to pick at least one even factor from the set to make an even product.
There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.
For example, if we pick out 1 even number and 2 odd numbers, this can be done in
ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in
way.
The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.
where we use the binomial identity