Answer:
-62.85
Step-by-step explanation:
<span>The diagonals of a parallelogram bisect each other.
So we just equate the two equations BE and DE
2x^2 - x = x^2 + 6
2x^2 - x - x^2 - 6 = 0
x^2 - x - 6 = 0
This is quadratic eqn. So we obtain.
(x - 3) ( x + 2) = 0
Setting each to 0 and solving for x, we have that x = 3 and x = -2
So we have two possible values for BD.
But Since BE = DE then we can simply double each
If x = 3 BD = 2 (2(3)^2 - 3) = 2 ( 18 - 3) = 30 units
If x = - 2 BD = 2((-2)^2 -3 ) = 2 (8 - 3) = 10 units</span>
Answer:
Look below. The answers are bolded!
Step-by-step explanation:
1. <em>10x + 23</em>
5+6(2x+3)-2x
Distribute first!
5 + 12x + 18 -2x.
Now you can combine like terms.
23 + 10x
2. <em>18x + 6</em>
3(4x+8) + 3(2x-6)
Distribute first!
12x + 24 + 6x - 18
Now you can combine like terms.
18x + 6
3. <em>-2x + 8</em>
(32-8x)
____
___
4
Divide 32 and -8x by 4.
32/4 = 8
-8x/4 = -2x
-2x + 8
4. <em>4x + 3</em>
24x+18
______
6
Divide 24x and 18 by 6
24x/6 = 4x
18/6 = 3
4x + 3
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.
Answer:
The scale factor is 4
Step-by-step explanation:
This question requires an attachment; I'll answer this question using the attached figure
From the attachment
<em>Length OA = 3 units</em>
<em>Length OA' = 3 units + 9 units</em>
<em>Length OA' = 12 units </em>
<em></em>
Scale Factor is calculated as follows;

Given that the original shape is ABC, the original side will be OA
Hence, Original Side = 3 units
New Side = OA' = 12 units
The formula becomes


<em>Hence, the scale factor is 4</em>