Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
f(x)= -1/2x-7 (better expressed as f(x) = (-1/2)x - 7 ) has a negative slope, so as x increases, y decreases. Answer D is correct.
Answer:
192.1%
Step-by-step explanation:
The formula for the amount of interest is ...
i = Prt . . . . . where i is the interest amount, P is the principal, r is the annual rate, and t is the number of years. (Here, we have a fraction of a year.)
Solving for the rate, we have ...
r = i/(Pt)
For "exact" interest, we use 365 days in the year. So, for a time of 19 days of 365, the interest rate is ...
r = $35/($350·19/365) ≈ 1.921 = 192.1%
Naming the circle is just the only point in the center of the circle (E). The radius is half diameter of the circle so imagine a line connecting the center dot to any dot to the outside. An example of this would be (EC). The diameter is half the circle so any 3 points that cut the circle in half. This could be either (DEC) or (AEB).
So the answers would be:
A: (E)
B: (EC)
C: (DEC)
D: (AEB)
A = c
b = 180 - a
d = 90
a = 180 - (90 +22.6) = 67.4
x = 5 as the ratio of lengths of the small triangle to big triangle is 1:2
therefore if the big triangle has a length 10, then the small one must be 5
