Consider a student loan of $17 comma 500 at a fixed APR of 9% for 15 years.
1 answer:
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Answer:
w = 36 centimeters
y = 24 centimeters
Step-by-step explanation:
The exact question is as follows :
Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.
To find - Based on the given information, what are the values of y and w in centimeters?
Solution -
We can see that from the diagram,
Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL
So,
The side KL = 3 times side GH
⇒12 = 3×4
⇒12 = 12 centimeters
So,
side FJ = 3 times side KL
⇒w = 3×12
⇒w = 36 centimeters
Now,
The side KF = 3 times side KG
⇒KF = 3×8
⇒KF = 24
Now,
We know,
In isosceles trapezoid two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length
So,
Side LJ = side KF
⇒y = 24 centimeters
∴ we get
w = 36 centimeters
y = 24 centimeters
Answer: 1. It is not possible to construct a triangle of given measure sides.
2. The value of ∠A is 44°
Step-by-step explanation:
1.
Given: Three sides of a triangle
Let a= 12 m , b=30 m and c= 18 m
Now as we know
The sum of two sides of a triangle is always greater than the third side
Therefore we need to show
a+b>c -----(i)
b+c>a -----(ii)
c+a>b -----(iii)
(i a+b= 12+30 = 42>18= b ⇒ a+b>c
ii) b+c=30+18= 48 >12=a ⇒ b+c>a
iii) c+a=18+12=30=b ⇒ c+a= b
Therefore the third condition does not verified
Hence, it is not possible to construct a triangle of given measure sides.
2.
As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°
So we have
Therefore
Hence, the value of ∠A is 44°