Answer:
6 years
Step-by-step explanation:
let x = # of years
6 + 2x = 12 + x
x = 6
We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.
P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9
Those tiny bars crossing those segments mean they are congruent
therefore you have isosceles triangles there
angles opposing congruent sides in isosceles triangles are also congruent
so
the other 2 angles in the 24 degrees triangle are (180-24)/2=78 degrees
now the angle close to the 24 from the 44 degrees triangle is also 78, that means that the third angle in the 44 triangle is 180-44-78=58
also the angle close to y is 58 (because of isosceles)
therefore y = 180-58=122 degrees
The angle between their paths to the nearest degree is 68⁰.
<h3>
Displacement of each boats after 45 minutes</h3>
first displacement, a = 15 km/h x (45/60)
first displacement, a = 11.25 km
second displacement, b = 18 km/h x (45/60)
b = 13.5 km
<h3> Angle between their paths to the nearest degree</h3>
c² = a² + b² - 2ab(cosθ)
2ab(cosθ) = a² + b² - c²
cosθ = (a² + b² - c²)/(2ab)
cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)
cosθ = 0.371
θ = arc cos(0.371)
θ = 68.22 ⁰
Thus, the angle between their paths to the nearest degree is 68⁰.
Learn more about angles here: brainly.com/question/25716982
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Let
x------> number of emails originally sent
we know that
so
Solve for x
Divide by 
both sides
therefore
<u>the answer is</u>
