Hello!
If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.
m = 3, y = 3x + b (substitute the ordered pair)
4 = 3(1) + b (simplify)
4 = 3 + b (subtract 3 from both sides)
b = 1
Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.
The answer is 5 because first, you make the expression 15/6*7-39 then simplify so that it becomes 15/42-39 simplify again to get 15/3 which equals 5
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other because of this:
6y - 2 = 4x + 20
But we have a problem because we have 2 unknowns.
Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that
52 + 6y - 2 + 4x + 20 = 180.
But we STILL have a problem with those 2 unknowns. BUT...
If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20. We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:
52 + 2(4x + 20) = 180 and
52 + 8x + 40 = 180 and
8x = 88 so
x = 11.
That means that
4(11) + 20 = 64 which is the measure of both angles X and Y.
Let's check:
64 + 64 + 52 better equal 180. And it does, so we're good.
The value of x is found this way:
4x + 20 = 64 and
4x = 44 so
x = 11 which we already knew. Now for y:
6y - 2 = 64 and
6y = 66 and
y = 11 also.
Answer:
If 10 is h(x) then the answer is d.16
