You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. which triangle cannot exist?
a) 30°, 60°, 90°
b) 45°, 55°, 80°
c) 30°, 45°, 105°
d) 30°, 45°, 55°

D) 30°, 45°, 55°

Step-by-step explanation:

We know that the sum of all the angles of a triangle is 180° .

A) Sum of all angles =30°+60°+ 90°= 180°

∴ Triangle can exist.

B) Sum of all angles = 45°+ 55°+ 80°= 180°

∴ Triangle can exist.

C) Sum of all angles = 30°+ 45°+ 105°= 180°

∴ Triangle can exist.

D) Sum of all angles = 30°+45°+ 55°= 130° ≠180°

∴ Triangle can not exist.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

⊂⊃⊂⊃ω

step-by-step explanation:

i hope this : )