Answer:
x = 47
Step-by-step explanation:
Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is
78 - 35 = 43.
The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that
43 + 90 + x = 180.
Then we can simplify the equation:
133 + x = 180⇒
x = 180 - 133⇒
x = 47
Answer:
The equation would be Y= -7/2x + 7
Step-by-step explanation:
With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.
To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.
So we get Y= -7/2x +7
The slope is ALWAYS put next to the variable x.
Hope this helps! :)
(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)
Answer:
true
Step-by-step explanation:
Answer: 375 is a composite number. Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3) The exponents in the prime factorization is 1
Hey there!
The slope-intercept equation is written as follows:
y = mx + b
Where m is the slope and b is the y-intercept. Therefore, we need both to write the form in slope-intercept. First, we'll find the slope.
To find the slope, we can use the slope given two points formula, which is defined as:
y2-y1/x2-x1
Plug in values (2,0) and (0, -2):
-2-0/0-2 = -2/-2 = 1
Now, we can use one of the points we have and our slope to set it equal to y, plug in x and the slope, and solve for b. We'll use (2, 0). We have:
0 = 1(2) + b
Remember, 0 is the y, 1 is the slope, and 2 is the x.
0 = 2 + b
-2 = b
Therefore, our equation is:
y = x - 2
Hope this helps!