Answer:
Step-by-step explanation:
The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:
and 
where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:
and then y:
The coordinates of point E, then, are (0, 1).
Using the Pythagorean theorem
C = sqrt( 9^2 + 40^2)
C = sqrr(81 + 1600)
C = sqrt(1681)
C = 41 cm
<u>Answer with step-by-step explanation:</u>
A. WX is perpendicular to XY - TRUE:
(since X is adjacent to X and Y and all angles are 90 degrees in a square, therefore WX is perpendicular to XY)
B. ∠W is congruent to ∠X - TRUE:
(all angles in a square are equal to each other)
C. ∠W is supplementary to ∠X - TRUE:
(∠W and ∠X both are right angles which add up to 180 degrees so they are supplementary angles)
D. WXYZ is a rhombus - TRUE:
(a rhombus has all sides equal in length and so has a square so it is a rhombus)
E. WXYZ is a trapezoid - FALSE:
(a trapezoid has only one pair of parallel sides while a square has two pairs of parallel sides)
F. WX is parallel to YZ - TRUE:
(WX and YZ are parallel to each other)
Answer:
B. Lynden
Step-by-step explanation:
4(2x+2) - 2(x + 2) = 10 - 3(x +2)
To use the distributive property, you multiply the terms inside the parentheses by the number outside them.
8x + 8 - 2x - 4 = 10 - 3x - 6
A is wrong. Gregory used the addition property incorrectly. He should have gotten
4(2x + 2) + (x + 2) = 10
C is wrong. Whitney used the distributive property incorrectly. She made a mistake when distributing the -2 in -2(x + 2). She should have gotten
8x + 8 - 2x - 4 = 10 - 3x - 6
D is wrong. David combined like terms incorrectly. 10 and 3x are not like terms. He should have gotten
4(2x + 2) - 2(x + 2) = 4 - 3x
Answer
151/200, 0.8, 7.611, 7 5/8
Step-by-step explanation
(Least to Greatest)
