Answer:
C 27 degrees
Step-by-step explanation:
The sum of the angles of a triangle add to 180. Let x be the third angle
62+ 91 +x = 180
Combine like terms
153+x = 180
Subtract 153 from each side
153+x-153 = 180-153
x =27
Well, first of all, you have to change the mixed fraction to a proper fraction. So you have to multiply 25 by 1 and add the answer to 2, and use it as the numerator, with the denominator remaining the same. So;
27/25
As a decimal, this fraction will be 1.08. Hope i helped. Have a nice day.
Answer:
The volume of the prism is 72 cubic cm.
Step-by-step explanation:
This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is
3 cm. * 4 cm. / 2 = 6 square cm.
Lastly, the volume of the prism is the base area multiplied by the height:
6 square cm. * 12 cm. = 72 cubic cm.
Answer:
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary, so ...
∠B +∠D = 180°
(3x -4)° +(2x -6°) = 180° . . . . substitute given expressions
5x = 190 . . . . . . . . . . . . . . . . divide by °, add 10
x = 38 . . . . . . divide by 5
Then the angle measures are ...
∠B = (3·38 -4)° = 110°
∠D = (2·38 -6)° = 70°
Answer: 2
Step-by-step explanation:
(x1,y1) = (-1,0)
(x2,y2) = (3,8)
m = (8–0)/(3-(-1))
m = 8/(3+1)
m = 8/4
m = 2
