Answer:
B(-6, 0)
Step-by-step explanation:
You want to find B such that ...
(B -A) = (3/4)(C -A) . . . . the required distance relation
4(B -A) = 3(C -A) . . . . . . multiply by 4
4B = 3C +A . . . . . . . . . . add 4A, simplify
Now, we can solve for B and substitute the given coordinates:
B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)
The coordinates of point B are (-6, 0).
the answer would be 3.
X always stands for the slope
Answer:
Step-by-step explanation:
The y intercept is where x = 0.
X and y are both increasing by 5.
If you add five to the bottom row of the table we see that the next row of the table is x = 0 and y = 13.
This means that (0,13) is the y-intercept and 13 is your correct answer.
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
For this case we must solve each of the equations proposed:
A) 
We apply distributive property to the terms within parentheses:

Subtracting 6 from both sides of the equation we have:

Dividing between -12 on both sides of the equation:

B) 
We apply distributive property to the terms within parentheses:

We add 5m on both sides of the equation:

Dividing between 2 on both sides of the equation:

C) 
We apply distributive property to the terms within parentheses:

We subtract 14 from both sides of the equation:

Dividing between -7 on both sides of the equation:

D) -
We apply distributive property to the terms within parentheses:

We add 28 to both sides of the equation:

Dividing between -21 on both sides of the equation:

Answer:
