1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.
Flence, it is proved that the sum of the three angles of a triangle is 180°.
Therefore, ∠A + ∠B + ∠C =180
The value of k in the translated graph of f(x - h) + k is; k = 2
<h3>How to carry out Translations on Graphs?</h3>We are given the parent function of f(x) = x³.
Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;
The rule of translation is;
(x, y) → (x + 3, y + 2)
That means;
The translation is 3 units to the right and 2 units up
The equation of the translated graph is equal to;
f(x) = (x - 3)³ + 2
Thus;
The value of k is equal to 2.
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She swims 12 laps on Monday.
Step-by-step explanation:
Total laps = 51 laps
Laps on Saturday = 15 laps
Let,
x be the number of laps on Monday, Wednesday and Friday each.
According to given statement;
Monday+Wednesday+Friday+Saturday = 51
Dividing both sides by 3
She swims 12 laps on Monday.
Keywords: addition, division
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