56% can be represented with 56/100. That fraction can be reduced (or simplified) to 14/25.
Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Answer:
x=-7/9
y = 12/9
Step-by-step explanation:
6x + 2y = -2
3x - 2y = -5
9x = -7 (-2y and +2y eliminated)
x = -7/9
if 3x -2y = -5 then
3 ×(-7/9) -2y =-5➡
-21/9 -2y = -5➡
-2y = -5 + 21/9
-2y = -24/9
Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation

where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus

We find that C=2
The equation is now

Now we use the point x=1, y=1

We find that

Thus, the equation is

Rearranging

The required equation is

We can easily verify the last two points are also obtained by using the equation