Two brothers decide that a 21-hour task is to be divided so thst the older brother works twice as long as the younger brother. H
2 answers:
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Answer:
The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
HL.
Step-by-step explanation:
The Figure is attached below
Given:
AB = DE ; BC = EF
∠C = ∠F = 90°
To Prove:
ΔACB ≅ ΔDFE
Proof:
Hypotenuse Leg Theorem:
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The abbreviation is HL
In ΔACB and ΔDFE
AB ≅ DE ……….{Hypotenuse congruent Given}
BC ≅ EF ……….{Given}
∠C ≅ ∠F = 90° …………..{Measure of each angle is 90° given}
ΔACB ≅ ΔDFE ….{Hypotenuse Leg ( HL ) Theorem}
Answer:
Step-by-step explanation:
In order to find this Maclaurin series, we can start by using a known Maclaurin series and modify it according to our function. A pretty regular Maclaurin series is the cos series, where:
So all we need to do is include the additional modifications to the series, for example, the angle of our current function is: so for
the modified series will look like this:
So we can use some algebra to simplify the series:
which can be rewritten like this:
So finally, we can multiply a 14x to the series so we get:
We can input the x into the series by using power rules so we get:
And that will be our answer.