Answer:
1 < x < 12
Step-by-step explanation:
The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.
Thus,
33 > 3x - 3
Solve for x
33 + 3 > 3x - 3 + 3
36 > 3x
36/3 > 3x/3
12 > x
To ensure the angle is not 0 or negative, thus:
3x - 3 > 0
Solve for x
3x - 3 + 3 > 0 + 3
3x > 3
3x/3 > 3/3
x > 1
Possible range of values of x would be:
1 < x < 12
Answer:
IM NOT SURE BUT DO U GO TO GEM PREP
Step-by-step explanation:
Answer:
D). 659.73 in^3.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h
The volume of the large cone = 1/3 π 6^2 * 20 in^3.
The plane passes through the midpoint of the cone so the height of the small cone = 10 in
and the radius of this cone is 1/2 * 6 = 3 in.
The volume of the small cone = 1/3 π 3^2 * 10 in^3.
So the volume of the blue section
= 1/3 π 6^2 * 20 - 1/3 π 3^2 * 10
= 659.73 in^3.
The width could be 6 and the length coupd be 2 or vice versa
