Which expressions are equivalent to the one below. Check all that apply. Log9 1 * log9 81
2 answers:
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Answer:
∡BCE = 60
Step-by-step explanation:
Here, we want to find the angle marked BCE
From our diagram, the angle marked BCE is y
Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE
mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180
Thus, we have that;
y + 30 + 90 = 180
y = 180-120
y = 60
Answer:
4√13
Step-by-step explanation:
1. Calculate the length of SN
Your triangle (below) is a relatively tall isosceles triangle.
∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.
SN² + NT² = ST²
SN² + 4² =22²
SN² + 16 = 484
SN² = 468
SN = √468 = 6√13
2. Calculate the length of SX
UM and SN are lines from an angle to the centre of the opposite side, so they are medians.
The medians of a triangle meet at a single point, X — the centroid.
Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.
Thus,
SX = ⅔SN = ⅔ × 6√13 = 4√13
