The Alternate Interior Angle theorem states that when the lines are parallel, the alternate interior angles are equal. Since lines AB and CD are parallel, m∠ACD and m∠BAC are equal. So, the equation would be 
or 
.
Can somebody please help me?
1 answer:
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Answer:
Jane is 11 1/4 years old.
Step-by-step explanation:
Subtract all of the numbers given.
.
To subtract this, we need to find a common denominator.
A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.
The new expression will look like this:
.
Now we can subtract.
Reduce the answer.
In decimal form 11.25
Hope this helps!
If not, I am sorry.
Given:
The function is
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
It is a linear function, and domain and range of these types of functions are all real numbers.
Put x=0 in f(x), to find the y-intercept.
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
Divide both sides by 7.
So, the x-intercept is .
Therefore,
.
<h2>$2.98</h2>
Step-by-step explanation:
5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.
This problem can be modeled using linear equations in two variables.
Let be the cost of a bag of chip and
be the cost of a jar of dipping sauce.
The information yields the equations
∴ A jar of dipping sauce costs .