Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
Answer:
275 - 11=264
Step-by-step explanation:
2 8/9 acres per day in simplest form
Answer:
11126
Step-by-step explanation:
The <em>mean</em> of a set of data is another name for its <em>average</em>. It is the sum of the data, divided by the number of numbers in the sum.
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If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.
The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.
(1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F
The mean of the data is 1126 °F.
1. Two consecutive integers means that the values are whole numbers and they are located right after the other (eg. 2, 3).
Now, let us call the smaller value x. The consecutive value will be one greater than x, thus the larger value may be written as x + 1.
2. We know that the product of the two values is 420. Given that the smaller value is x and the larger value is x + 1, we can write this as:
x(x + 1) = 420
3. Now we can expand to get:
x^(2) + x = 420
4. Now subtract 420 from both sides to get:
x^(2) + x - 420 = 0
Therefor, the constant of the quadratic expression is -420.