Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
The slope definitions:
The
slope is the change in y divided by the change in x.
The
slope is the ratio of rise to run.
The
slope is the rate of change of the function at a certain point.
The
slope is the first derivative of a function.
The
slope is the tangent of the slant/inclined angle
So we are interested in this one: "The
slope is the ratio of rise to run"
Logically, the gas in the tank decreases as the distance traveled increases.
So they are inversely proportional.
Let's look at the scale of the axis now///
After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance
I hope that
helps!
I am with you if you faced any difficulties!
Slope intercept is basically solve for y
y=mx+b
m=slope
b=yintercept
-3x-10y=7
add 3x to both sides
-10y=3x+7
divide both sides by -10
y=-3/10x-7/10
slope is -3/10
yintercept is -7/10 or at point (0,-7/10)
Answer:
both negative because y is negative and make both answers negative
The line that is horizontal on a graph
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