Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
Answer:
40%
Step-by-step explanation:
First, divide 100 by 20. You do this because you need something out of 100 to equal a percent. (Example- 50 out of 100 is 50%)
Next you need to take the number you got from dividing (5) and multiply that with 8. This leaves you with 40/100 or 40%.
Hope this helps!
-Coconut;)
Answer:
2.04 kg
Step-by-step explanation:
The slope of a line perpendicular to a line with the equation y = 6x +2 would be -6. Perpendicular lines have opposite - reciprocal slopes. Parallel lines have the same slope.
The correct answer is A shift down two units
