Answer:
should be D
Step-by-step explanation:
Answer:
AC = 40
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.
A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.
Given parallelogram ABCD:
Diagonals AC and BD bisect each other at point E. Hence:
AC = AE + CE (line segment addition postulate)
Also:
AE = CE (diagonal BD bisects AC at point E).
Hence; x + 16 = 5x
5x - x = 16
4x = 16
x = 4
AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20
AC = AE + CE = 20+ 20 = 40
More info. I can't really answer this. Sorry
Answer:
pq-5q or q(p-5)
Step-by-step explanation:
-10p2q+7p3q-5q=-20pq+21pq-5q=pq-5q=q(p-5)
Answer:
y-5=3(x-1)
Step-by-step explanation:
- The graph shows an equation y=a+bx, that has an intercept "a", in a=2 (value of y when x=0), and a slope "b", b=3 (to see the slope, watch the change in y when x changes a unit, remembering that each square in the graph represents a unit - for example, when y=2, a change on x, from x=0 to x=1 would result in y=6).
- Then, to know wich of the equations presented is the one that represent the graph, we should search that equation that meets the following requirements: <u>intercept a=2 and slope b=3</u>.
- The first expression can be rewrite as follows: y=6-13x (to arrive to this expression, we apply distributive property in the right ide of the equation, and then we sum 4 both sides of the equation). This equation does not meet our requirements.
- The second expression can be rewrite as follows: y=4+13x (we apply the same steps than we apply in the previous example). Again, this equation does not meet the requirements (intercept a=2 and slope b=3).
- The third expression can be rewrite as follows: y=1-3x (to arrive to this expression, we apply distributive property on the right side of the equation, and then we subtract 2 both sides of the equation. This expression does not meet the requirements either.
- Finally, the last equation can be rewrite like y=2+3x (to arrive to this expressionn, we apply distributive property in thesecond side of the equation, and then we add 5 both sides of the equation. This expression actually meet the requirements! It has an intercept equal to 2 and its slope is 3.