Write a proportion that could be used to solve for each variable. Then solve. d dollars for 18.4 quarts 24 dollars for 6 quarts
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
----> the angles of the base are equals
Find the measure of the vertex angle ABD
------> the sum of the internal angles of a triangle is equal to 180 degrees
step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is equal to 60 degrees
so
step 3
Find the measure of the angle ∠ABC
we know that
---> by addition angle postulate
substitute the values
This is a system of equations, and I am assuming that you are being asked to solve it.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
and
.
The last equation is rewritten as
.
Now, we cancel the x-terms.
We have our value for y, so we just plug this back into any of the original equations to get x.
Thus, the solution to the system of equations is the point
.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have
and
The last equation is rewritten as
Now, we cancel the x-terms.
We have our value for y, so we just plug this back into any of the original equations to get x.
Thus, the solution to the system of equations is the point