Answer:
The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
Step-by-step explanation:
There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).
This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.
This leaves you with the SSS Theorem.
9514 1404 393
Answer:
72°
Step-by-step explanation:
The external angle E is half the difference of subtended arcs CG and DF.
E = (CG -DF)/2
2E = CG -DF . . . . . . multiply by 2
DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values
arc DF = 72°
4 3/4+2 5/6
=19/4+25/6
=19/4+17/6
=91/12
=7 7/12
Let: x be Amy's marbles
3x be Robin's marbles
15+3x be Sam's marbles
x+3x+15+3x=99
7x+15=99
7x=99-15 (transfer 15 to the right side of the equation, then minus)
7x/7=84/7 (divide both sides of the equation by 7)
x=12
Now substitute:
x = 12 (Amy's)
3x = 3*12 = 36 (Robin's)
15+3x = 15+3*12 = 51 (Sam's)
12+36+51 = 99
Therefore, Amy has 12 marbles, Robin has 36 marbles and Sam has 51 marbles.
