Answer:
3(x+8)
Step-by-step explanation:
In order to factor the expression completely, you need to find the greatest common factor of both numbers, which would be 3 because 3 fits in both numbers without leading to weird decimals or fractions.
3(x+8) is the answer.
In the parallelogram ABCD, diagonals AC and BD intersect at point E.
According to the definition of parallelogram, opposite sides are equal and parallel to each other. That means, AB = DC
Now as AB and DC are parallel, so according to the property of Alternate Interior Angles, we will get:
∠EAB = ∠ECD and ∠EBA = ∠EDC
Thus , in two triangles ΔABE and ΔDCE, two angles and one side are equal. So, ΔABE and ΔDCE are congruent to each other.
That means, AE = CE and BE = DE
So, AE is congruent to CE and BE is congruent to DE
Answer: intersecting but not perpendicular
Step-by-step explanation: Let's start by eliminating a few options.
First off, parallel lines are coplanar lines that do not intersect.
In the diagram shown, lines <em>i </em>and <em>k</em> do intersect
so option A doesn't make any sense.
We can also eliminate option C because by definition,
parallel lines <em><u>do not intersect </u></em> so we can cross this off.
We also can't conclude that lines <em>i</em> and <em>k </em>are perpendicular,
because we don't have a box at the vertex and from the
diagram shown, it doesn't look like they form a perfect right angle.
That leaves us with option D.
Notice that these two lines cross at a point.
When two lines cross at a point, we say that they intersect.
So they are intersecting lines but not perpendicular.
