Answer: 6x + 42 +=78
.
Step-by-step explanation:
1: establish the angles, basically label one x (the small one) and the other y (the bigger one)
2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.
3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8
4. plug in the equation of the bigger one into the other equation
x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180
5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47
6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133
i hope i explained it alright
Answer:
Step-by-step explanation:
recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.
also recall that the formula to find the slope of a line is m=y2-y1/x2-x1
to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.
lets do the math now:
option a)
m=y2-y1/x2-x1
m=12-4/6-0
m=8/6
m=4/3
this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1
option b)
m=y2-y1/x2-x1
m=0-4/6-0
m=-4/6
m= -2/3
this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1
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ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.
toodles! :)
Answer:
3. B
4. D
Step-by-step explanation:
3. The y-intercept is -4 and the slope is positive 2.
4.Substitute the values and check
Answer:
1/4 is the common ratio for the geometric sequence
