(9c - 8d) + (2c - 6) + (-d + 3)
1 answer:
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If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).
Therefore DF ≅ EF.
DE = x + 4, EF = 4x - 8, DF = 7x - 35
The equation:
7x - 35 = 4x - 8 <em>add 35 to both sides</em>
7x = 4x + 27 <em>subtract 4x from both sides</em>
3x = 27 <em>divide both sides by 3</em>
x = 9
DE = x + 4 → DE = 9 + 4 = 13
EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28
DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28
<h3>Answer:</h3><h3>x = 9, DE = 13, EF = 28, DF = 28.</h3>
In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:
Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:
(plug in)
(simplify by subtracting 1 from 11 to get 10)
(simplify by calculating 3 to the power of 10 to get 59049)
(solve by multiplying 6 by 59040 to get 354294
Therefore, our 11th term in the sequence is 354394.
Answer:182 ways
Step-by-step explanation:
Given
there are total of 10 workers in office
No of ways to select 4 workers out of 10 workers
(b)If hugo and Viviana refuse to work together then
then no of ways in which hugo anf Viviana work together
Therefore total no of ways in which Hugo and Viviana do not work together is