By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
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Answer: he would have $343.47 after 2 years.
Step-by-step explanation:
if he leaves his interest from the first year in the bank, we would assume that his interest was compounded. We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $300
r = 7% = 7/100 = 0.07
n = 1 because it was compounded once in a year.
t = 2 years
Therefore,.
A = 300(1 + 0.07/1)^1 × 2
A = 300(1.07)^2
A = $343.47
Tan 18 = opposite side/adjacent side
0.3249 = 4/adjacent side
and adjacent side = 4/0.3249 = 12.31
Now let's apply Pythagoras to find x
4² + 12.31² = x²
16 + 151.55 = x² and x² = 167.55
Then x = √167.55 and x = 12.94 ≈ 13
Answer:From what im getting it is A sorry if im wrong
Step-by-step explanation:
