Which scale drawing of a triangle was created by using a scale factor of One-fourth, if the original right triangle has a height of 16 cm and a base length of 12 cm? (The figures below are not drawn to scale.) A triangle with base 3 centimeters and height 4 centimeters. A triangle with base 3 centimeters and height 2 centimeters. A triangle with base 6 centimeters and height 8 centimeters. A triangle with base 12 centimeters and height 9 centimeters.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

good luck on your studies! : )

david edward.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for