We are asked to complete the following statements about the graphed angles:
Question a)
angle 1 congruent to _______
Notice that angle 1 in the image is opposite via the vertex to angle 3.
Amgles opposite via the vertex are always congruent (equal in magnitude) to each other. So, we complete the blank by typing angle 3. These are called "opposed by the vertex" angles.
Question b)
Angle 4 is congruent to angle _______ and they are called are called ______ angles
Angle 4 is congruent to its opposite by the vertex angle (which is angle 2. So we complete the first blank with the number 2.
The second blank is exactly as for the first case, that is "opposite by the vertex".
Answer: n = 0
Step-by-step explanation:
<u>Given expression</u>
(-3/4) (8n + 12) = 3 (n - 3)
<u>Expand parentheses and apply the distributive property</u>
-6n - 9 = 3n - 9
<u>Add 9 on both sides</u>
-6n - 9 + 9 = 3n - 9 + 9
-6n = 3n
<u>Subtract 3n on both sides</u>
-6n - 3n = 3n - 3n
-9n = 0
<u>Divide -9 on both sides</u>
-9n / -9 = 0 / -9
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Answer:
The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
The general form of sine function is
Where, a is amplitude, b is period, c is phase shift and d is vertical shift.
So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.
It means the minimum value of function is -7 and maximum value is 7.
Put x=0 in the given function.
Put in the given function.
Put in the given function.
Therefore the points on the function are (0,0), .
The graph of function is shown below.
The simplest form is 10.
We can find simplest as form:
Given, fractions are and
=10
Hence, simplest form of given fraction is 10.
Learn more about fractions here:
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