Perimeter = x + 5x - 2 + 7x - 4
= 13x - 6 meters answer
Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
Divide 9.3 by 3.1:
9.3 / 3.1 = 3
subtract the exponents: 34 -17 = 17
then turn those into scientific notation:
3 x 10^17
Answer:
The period of Y increases by a factor of
with respect to the period of X
Step-by-step explanation:
The equation
shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?
For the planet Y:
For planet X:
To know the factor of aumeto we compared
with
We know that the distance "a" from planet Y is k times larger than the distance from planet X to the sun. So:
So
Then, the period of Y increases by a factor of
with respect to the period of X
Answer:
We conclude that:
Step-by-step explanation:
Given the function

In order to determine the value f(2), we need to check the value of y at x = 2.
In other words, we need to check:
at x = 2, what is the value of y?
From the graph, it is clear that at x = 2, the value of y = -5
In other words,
f(2) = -5
Therefore, we conclude that: