Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:
2 - 3 / 3 - 0
Subtract the values in order to get -1/3. There. The slope of the line is -1/3.
Answer:
8
Step-by-step explanation:
<h2 />
Answer:
option (3) is correct.

Step-by-step explanation:
Given 
We have to solve for e.
Consider the given statement,

Cross multiply, we get,

Taking square root both sides , we get,

We know square root of 9 is 3.

Thus, option (3) is correct.

Hey there,
Question #1The answer would be in the attachment below.
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Question #2
The answer would be in the attachment below.
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Question #3The answer would be in the attachment below.
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Question 4#
The last one was kind of tricky. But, as I saw this attachment, I noticed on how the rectangle was actually 3/4 on the base and for the height, it was 1/2. So by doing this,we need to find the area, and we would multiply these both. 1/2 x 3/4 = 3/8 but by looking at your options, those are not simplified so . . .your answer would be 6/16 because 3x2=6 & 8x2=16.
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I really hope this can help you
Amanda.Have a great day! =)
~Jurgen