The best angle relationship that describes angles BAC and EAF is supplementary angles
The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.
If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;
m<BAE + m<FAC = 180degrees
Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles
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Answer:
C. II, III, and IV only
Step-by-step explanation:
Lol I haven't done one of these in a while, so thanks for the practice!
It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.
Answer:
Step-by-step explanation:
<u>In order to find the vertical asymptotes make the denominator equal to zero and solve:</u>
- 2x + 18 = 0
- 2x = - 18
- x = - 9
There is one vertical asymptote since the denominator is linear expression
Substitute y = x + 1 into 2x - 5y = 4
-3x - 5 = 4
Solve for x in -3x - 5 = 4
x = -3
Substitute x = -3 into y = x + 1
y = -2
Therefore,
<u>x = -3</u>
<u>y = -2</u>
Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
