4(-2)-3 = -8-3 = -11
Answer: -11
Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY =
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
=
(corresponding side length proportion)
Answer:
y = 1/2x -2
Step-by-step explanation:
The 2-point form of the equation for a line is useful for answering questions like this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)
Filling in the given points, the equation becomes ...
y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5
y = 1/2(x +6) -5
y = 1/2x -2
0.2 is a decimal between 0.25 and 0.125
If you look at the rectangle properly, you can see that the diagonal creates two triangles, and if we only focus on one triangle, we can see that the bad of the triangle is 7 and the perpendicular height is 4
Using Pythagorean theorem we can figure out the hypotenuse, or the diagonal
C squared is equal to a squared plus b squared
7^2+4^2 is 65
Square root of 65 is 8.1