Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
Answer:
(2x+3)(x+1)
Step-by-step explanation:
Red line shows
y=x^2-4 , cause it's going through point (0,-4)
So blue line shows
y= -x^2+1 Point (1,0) belong to it , moreover x factor is negative , so the arms of parabola will go down
Have nice evenig :)
Greetings From Poland.
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1