Answer:
X equals 6°.
Step-by-step explanation:
There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.
Answer: Option C
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
the graph moves vertically upwards.
If
the graph moves vertically down
In this problem we have the function
and our parent function is 
therefore it is true that
Therefore the graph of
is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
Answer: 20 ounce
Step-by-step explanation: 1.29/16=0.080625 1.49/20=0.0745
Total surface area of cylinder :
[(22/7)(7)²] × 2 ( area for 2 circles )
+
[ 2(22/7)(7) ] ×12 ( circumference of circle × height )
=
836 cm²
i hope my solution helps :))
Answer:
36 inches
Step-by-step explanation:
Let's draw a parallelogram real quick:
W _____________________ X
/ /
Y /____________________/ Z
So, we know that WY and ZX are the short sides and that they both equal 12. We also know that YZ and WX are the long sides and are 3x longer.
12*3 is 36 inches.