Answer:
(X, Y, Z) = (8, 28, 32)
Step-by-step explanation:
The ratio units will form a geometric sequence if the middle one is the square root of the first and last:
Y' = √(2·8) = 4
To get this value from 7, we must subtract 3. In the real sequence we must subtract 12, so each "ratio unit" must stand for 12/3 = 4 real units, and the real numbers X, Y, Z are 2·4 = 8, 7·4 = 28, 8·4 = 32.
(X, Y, Z) = (8, 28, 32)
(X, Y-12, Z) = (8, 16, 32) . . . . a geometric sequence with a ratio of 2
Answer:
8 log 2........../........2.40824
Answer:
B) ΔABC and ΔA′B′C′ are congruent.
Step-by-step explanation:
Given
See attachment for and
Required
Determine the relationship between both triangles
The single line on all sides of both triangles implies that the sides of the triangles are equal
i.e.
--- sides
Similarly, the same mark on the three angles of both triangles means that the angles of the both triangles are equal
i.e.
--- angles
<em>Hence, both triangles are congruent</em>
Manipulate the first equation to
y = 22-7z
Then substitute in the second to find z
8(22-7z) + 7z = 127
176-56z+7z = 127
-49z = -49
z = 1
So y = 22-7(1) = 22-7 = 15
y = 15; z = 1