Answer:
Step-by-step explanation:
<u>Given polynomial:</u>
- x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³
<u>Group as follows:</u>
- (x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x =
- x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x
As we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
Answer:
196, 245, 294
Step-by-step explanation:
sum the parts of the ratio, 4 + 6 + 6 = 15 parts
Divide the total by 15 to find the value of one part of the ratio
735 ÷ 15 = 49 ← value of 1 part of the ratio, thus
4 parts = 4 × 49 = 196
5 parts = 5 × 49 = 245
6 parts = 6 × 49 = 294
To find the answer, you have to do 2/3 divided 4, which equals 2/12, which is the same as 1/6. You get the answer 1/6, because 2/3 divided 4 is the same as 2/3 times 1/4, and if you do the math, you get 2/12, and you simplify it to 1/6.
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9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
