14/74 in the simplest form is 7/37
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
Answer:
363-138=-5x
Step-by-step explanation:
Let c = cost
We know that the total cost is $363:
363-??????
We also know that he spent $138 on parts:
363-138?????
And we are solving for the cost of labor per hour:
363-138=5x
We can use this equation to find the total cost of labor per hour.
Hence, your equation will be 363-138=5x
Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position
examples : slope = 2 , (1,3)....x = 1 and y = 3
y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b
so in slope intercept form, ur equation is : y = 2x + 1
================
another example : slope = 3 , (-2,-4)
y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
-4 + 6 = b
2 = b
so ur equation is : y = 3x + 2
