Answer:
(D)
.
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
are opposite interior angles.
The third angle is ![\angle BAF](https://tex.z-dn.net/?f=%5Cangle%20BAF)
The angle which forms a supplementary angle with
is
.
Therefore, the exterior angle of triangle ABF is
.
The expression equivalent to ∛162 is ∛6 × ∛27
<h3>What is the cube root of a number?</h3>
The cube root of a number is a number a such that when another number, b multiplies itself 3 times, we get a.
So,
- a = b × b × b = b³and
- b = ∛a
<h3>What is a perfect cube?</h3>
A perfect cube is a number such that its cube root which is an integer or whole number.
<h3>How to find ∛162.</h3>
Since we have ∛162.
Since 162 is not a perfect cube, to find its cube root, we have
∛162 = ∛(54 × 3)
= ∛(18 × 3 × 3)
= ∛(2 × 9 × 3 × 3)
= ∛(2 × 3 × 3 × 3 × 3)
= ∛(6 × 27)
= ∛6 × ∛27
So, the expression equivalent to ∛162 is ∛6 × ∛27
Learn more about perfect cube here:
brainly.com/question/12172637
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Answer:
98,000
and for the t it would be an equation-
4500y=t
y= years worked for a company
Step-by-step explanation:
it is 98000 because 4500*10 because 4500 more each year.
and the 4500y=t is 4500 times the of years he has worked there equals t, or his salary after the 4500 is added.
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The answer is 17. 72
Step by step
0.02x^2 = 6.28
x^2 = 6.28 / 0.02
x^2 = 314
x= square root of 314
x = 17. 72