Answer:
45 degree angle
Step-by-step explanation:
180-55-80=x
180- 135=x
45=x
<h3><u>Given</u>:</h3>
- A rectangle has a height of 4 and a width of x² + 3x + 2.
<h3><u>To find</u>:</h3>
- The area of the entire rectangle.
<h3><u>Solution</u>:</h3>
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
Therefore, the answer is 4x² + 12x + 8.
Answer:
Simon: 55 hours
Alvin: 70 hours
Theodore: <u>159</u> hours
Total: 284 hours
Step-by-step explanation:
Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.
We are told that:
A = S + 15,
T = 3S - 6
and
A + S + T = 284
Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:
A + S + T = 284
(S + 15) + S + (3S - 6) = 284
5S + 9 = 284
<em><u>S = 55</u></em>
Now use this value of S in the first two equations to find A and T:
A = S + 15
A = 55 + 15
<u><em>A = 70</em></u>
T = 3S - 6
T = 3*55 - 6
<em><u>T = 159</u></em>
<u></u>
<u>(55 + 70 + 159) = 284</u>
<u></u>
Answer:
3
Step-by-step explanation:
g(x) = f(x) + k, is true for all values of x.
At x = 0, f(x) = 2
At x = 0, g(x) = 5
Therefore, at x = 0
=> g(x) = f(x) + k
=> 5 = 2 + k
=> 3 = k
Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x
Answer:false
Step-by-step explanation:
(-7)^2
(-7)*(-7)
49
49 is a positive number
