Answer:
1. x = -6
2. x = -10
3. x = 12
4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)
5. x = 8
6. x = -3
7. x = -5
8. x = 12
9. x = -13
Answer:the range of the rectangle would be ∞1.0∞
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are three right-angled triangles and two of them have x in their dimensions:
The largest one with one side at 48+x and another at 10
The smallest one with one side at x and another at 10
Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.
So their sides are in the same ratio:
x / 10 = 10 / (48+x)
x*(48+x) = 10*10
x^2 + 48x - 100 = 0
(x+50)*(x-2) = 0
x = -50 or 2
As length cannot be negative, x = 2
Answer:
-35
Step-by-step explanation:
Not in Option, actually because x=-11
if y=3(-11)-2
then y = -33-2
y = -35
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
Now,
Therefore, the measure of side BE is 9 units.