Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)
Answer:
3x + 14 items
Step-by-step explanation:
First plant produces 5x + 11 items
Second plant produces 2x - 3 items
First plant production - second plant production = 5x + 11 - (2x - 3)
5x + 11 - 2x + 3 = 3x + 14 items
<span> r+5 </span><span>r^2+4r-21
</span><span>-------------- / --------------------
r^2+5r-14 </span><span>r-2
</span> r+5 r-2
= -------------- x --------------------
r^2+5r-14 r^2+4r-21
r+5 r-2
= -------------- x --------------------
(r+7)(r-2) (r+7)(r-3)
r+5
= -----------------
(r+7)^2 (r-3)
Answer:
14 degrees
Step-by-step explanation:
12 + 25 - 23 = 14
82 degrees and 98 degrees
First, find the original equation
180 = (x) + (x + 16)
Simplify: 180 = 2x + 16
Next, use the subtraction property of equality to subtract 16 from both sides
180 - 16 = 2x + 16 - 16
Simplify: 164 = 2x
Then, you can use the division property of equality to find the value of x
164/2 = 2x/2
Simplify: 82 = x
Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
