Solve for x. A. 6.2 B. 6.4 C. 6.6 D. 6.8
2 answers:
<u>Answer:</u>
The correct answer option is B. 6.4.
<u>Step-by-step explanation:</u>
We know that in a pair of triangles, if two pairs of corresponding angles are congruent, then the triangles are similar. And if the two angle pairs are similar then the third pair must also be equal.
So, the corresponding sides are also proportional and we can write them as:
Now solve for x by cross multiplication to get:
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Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.