Answer:
x = 13
Step-by-step explanation:
Using the 48° angle, we find out that the angle opposite of angle y° is also 48° according to the corresponding angles theorem. Then, you would subtract 48 from 180 to get the degrees of angle y, which would be 132°. Next, you need to subtract 132 from 180 to get the angle measure of the (5x - 17)° angle. (180 - 132 = 48) Once you have done that, all you have to do now is figure out what value of x makes it equal to the degree measure you found by subtracting 132 from 180. I tried it with x = 13, which came out as a correct answer. So x must be 13.
(5x - 17)°
(5(13) - 17)°
(65 - 17)°
(48)°
48°
The angle equals 48° and x equals 13.
The correct answer is option b) expertise Mrs. Deverell brought to her household tasks.
The use of "arts" in line 51 most directly emphasizes the expertise Mrs. Deverell brought to her household tasks.
"She felt as if she had squandered her time gaining talents that would eventually be useless to her.
Her weather-eye for a good drying day, her keen ear for evaluating the gentle singing sound of meat roasting in the oven, her touch for the freshness of meat, and her ability to detect if a cake had been cooked by smelling it were all examples of these talents.
These practices, which took a long time to develop, are no longer practiced." - From the context, it is evident that "arts" refers to Mrs. Deverell's ability with household chores.
Learn more about ("Angel") Deverell
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Answer: 3x^4 +x^3 -2x^2 +3x +2
Step-by-step explanation:
(3x^4 - 2x^3 + 4x -2) + (3x^3 - 2x^2 - x +4)
There are no like terms for 3x^4, so leave it alone.
-2x^3 + 3x^3 = 1x^3
No like terms for -2x^2
4x - x = 3x
-2 + 4 = 2
Answer? 3x^4 +x^3 -2x^2 +3x +2
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Answer:
495
Step-by-step explanation:
45×10=450
450+45=495
Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
