Answer:
The answer is below
Step-by-step explanation:
The question is not complete. Let us assume the following:
Let us assume triangle ABC is a right angled triangle with side AB = 24, AC = 32 and the hypotenuse BC = 40. Triangle PQR is a right angled triangle similar to triangle ABC with side PQ = 27, PR= b and the hypotenuse QR = a.
Answer:
Two triangles are said to be similar if they have proportional angles or proportional sides that is they have the same shape. For similar triangles, the ratio of their corresponding side are the same.
Given that triangle ABC is similar to triangle PQR, therefore:
we know that
a) 
gallon is equal to 
quarter of gallon
so
by proportion
gallons is equal to
quarter of gallon
b) liter is equal to 
quarter of gallon
by proportion
quarter of gallon is equal to
liters
therefore
the answer is the option
The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>
See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
brainly.com/question/4372174
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Some parallelograms have 2 obtuse and 2 acute angles.
Parallelograms may have all 90 degree angles as well. These are also called rectangles.
When you "bend" a rectangle it naturally forms 2 acute and 2 obtuse angles.
Answer: Carlos would owe in fact (Not including sales taxes) $44.18 (forty-four dollars and eighteen cents)
Step-by-step explanation:
