The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
<h3>What are Supplementary Angles?</h3>By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.
Given the image below, we know the following:
Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle
angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,
angle FEB = angle HGD.
In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:
A. measure of angle FEB + measure of angle HGD = 180°
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Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!
