The 3 inside angles need to equal 180.
Subtract E from 180 to find the sum of the other two angles:
180 - 104 = 76
Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2
Angle D = 38
<span>The car will stop in 140.625 ft
</span>
Answer:
Step-by-step explanation:
w / h = u / HG
w = 8
h = 48
u = 5
lets use h / w = HG / u this is the same relationship but looks easier to me
48/8 = HG / 5
6 = HG / 5
6 * 5 = HG
30 = HG
not too tuff... when you set the relationship so it's easiest :)
and yes.. we cold have swapped the fractions and done it the other way and gotten the same answer.. but maybe with a bit more algebra.. and... avoid extra algebra ... that's where the mistakes can be made :P
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
Answer:
x = -11/2
Step-by-step explanation:
The ratios need to stay the same
5x 11
----- = -------
x-2 3
Using cross products
5x*3 = (x-2) 11
15x = 11x - 22
Subtract 11 from each side
15x-11x = -22
4x = -22
x = -22/4
x = -11/2
