Answer:
ASA
Step-by-step explanation:
The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.
So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).
Answer:
191 boys
Step-by-step explanation:
4/153 = 5/x
4x = 153 * 5
4x = 765
x = 765/4
x = 191.25
There are 191 boys.
Using compound interest, it is found that Dante was 6.6 years old when the balance in the account reached $13,000.
<h3>What is compound interest?</h3>
The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
In this problem, we have that the parameters are given as follows:
A(t) = 13000, A(0) = 10000, r = 0.04, n = 12.
Hence the time in years is found as follows:
t = 6.6
More can be learned about compound interest at brainly.com/question/25781328
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Answer:
5 miles per hour
Step-by-step explanation:
Answer:
x = π/2 + nπ or x = (2/3 π + 2nπ) or x = (4/3 π + 2nπ)
Step-by-step explanation:
1 + cosx + cos2x=0
1+cosx+(2cos²x -1) = cosx + 2cos²x = cosx (1 + 2cosx) = 0
cosx = 0
x = 90° (π/2) or (90+180) or (90+180x2) .... i.e π/2 + nπ
or 1 + 2cosx = 0
cosx = -1/2
x = 120° or 240° (2/3 π or 4/3 π) or (120 + 360 : 2/3 π + 2π) (120 + 2 * 360)
.... i.e. (2/3 π + 2nπ)
or (240 + 360 : 4/3 π + 2π) (240 + 2 * 360) .... i.e. (4/3 π + 2nπ)
