Answer:
C. II, III, and IV only
Step-by-step explanation:
Lol I haven't done one of these in a while, so thanks for the practice!
It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.
Answer:
THE ANSWER IS A
Step-by-step explanation:
Composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”. The function g (x) is called an inner function and the function f (x) is called an outer function.
The notation used for the composition of functions looks like this, (f g)(x). ... (f g)(x) and(g f)(x) are often different because in the composite(f g)(x), f(x) is the outside function and g(x) is the inside function. Whereas in the composite(g f)(x), g(x) is the outside function and f(x) is the inside function.
GIVE BRAINLIST IF HELPED
Hello!
The first thing you should notice is that the exponent will be less than 1, as raising 27 to any power greater than 1 will make it larger, and you're trying to figure out what makes it equal to 3, a number less than 27.
Raising a number to a fractional power is taking its nth root:
is
![\sqrt[3]{21}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B21%7D%20)
, so you'll really need to take the nth root of 27 to get 3. To figure out which root, write the number in exponential form with a base of 3:
= 3
=
Now, the bases are the same (they are both 3), so you can set the exponents equal to each other:
3x = 1
Divide both sides by 3 and you've isolated x:
Answer:
Answer:
Equation to solve is x+x+120=180
Solution to equation: x=30
Step-by-step explanation:
The angles in a triangle have a sum 180 degrees.
You know one angle is 120 degrees.
If you assume another angle has a measurement of x degrees, then the remaining angle has a measurement of x degrees. We know this because congruent means they will have the same measurement.
So we have this equation to solve:
x+x+120=180
Combine like terms:
2x+120=180
Subtract 120 on both sides:
2x=180-120
Simplify:
2x=60
Divide both sides by 2:
x=60/2
Simplify:
x=30
