Answer:
C, 42 degrees
Step-by-step explanation:
Considering angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.
Answer:
53.8/4 =13.45
Step-by-step explanation:
Answer:
1 solution
Step-by-step explanation:
Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...
-3x -3 +3x = -3x +3 +3
We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.
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In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)
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<em>Additional comment</em>
If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.
Answer:
x(x+5)^2
Step-by-step explanation:
x^3+ 10x^2+25x
factor out an x
x(x^2+10x+25)
what numbers multiply to 25 and add to 10
x(x+5) (x+5)
x(x+5)^2
Answer: $125
Explanation: First begin with the interest formula which is below.
Interest = principal · rate · time
In this problem, we're solving for the interest.
The <em>principal</em> is the amount invested of $500.
The <em>rate</em> is 5% which we can write as .05.
The <em>time</em> is 5 years.
So we have I = (500)(.05)(5).
Now we multiply.
(500)(.05) is 25 and (25)(5) is 125.
This means that the interest earned is $125.