Answer: All triangles no matter what shape or size it equals to 180 degrees
Step-by-step explanation:
9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
<u>Given</u>:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
<u>Find</u>:
x, y
<u>Solution</u>:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
__
Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
Answer:
Option C. 
Step-by-step explanation:
we know that
Triangles ADE and ABC are similar by AA similarity postulate
AB=2AD
Apply proportion
Find the length of segment DE
Answer:
Carl has to sell at least 
cookies.
Step-by-step explanation:
Carl gets 
by selling 1 chocolate bar.
Earning from chocolate bars:
Earning From cookies:
Carl wants to raise at least 
Answer:
Step-by-step explanation:
21-26. a = v - u / t
=> a = 47 - 19 / 5
=> a = 28 / 5
=> a = 5.6 m/s²
27-32. avg. speed = distance / time
=> 40 m / 10 s
=> 4 m/s
33-38. velocity = distance / time
=> v = 150 / 40
=> v = 15 / 4
=> v = 3.75 m/s
