Select all conditions for which it is possible to construct a triangle. Angle measures of 45 degrees, 45 degrees, and 90 degrees

Triangle with side lengths of 4 cm, 5 cm and a 50 degree angle

Angle measures of 120 degrees, 20 degrees, and 35 degrees

Triangle with angle measures of 30 degrees, 60 degrees, and a side length of 3 cm

45, 45,90

30,60,3

Step-by-step explanation: A triangle must have 180 degrees to be a triangle. In the 45 45 90 it’s pretty straight forward that it is a triangle. In the 30,60,3 example it must be a right triangle due to 60+30 being 90 and the 3 allows for a right triangle. 3+4+5= a right triangle

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4