Triangle EDC is similar to Triangle CBF by angle angle. Angle B is congruent to angle D because in a parallelogram opposite angles are congruent. Angle BFC is congruent to angle ECD because parallel lines imply alternate interior angles are congruent. FC=7 DC=16 2/3 EC=10
Let x represent the days it will take for the stalk to be at least 300 cm tall
3x+9≥300
3x≥291
x≥97
(2/5)(x-1)<(3/5)(x+1) perform indicated multiplications
(2x-2)/5<(3x+3)/5 multiply both sides by 5
2x-2<3x+3 add 2 to both sides
2x<3x+5 subtract 3x from both sides
-x<5 divide both sides by -1 (remember to reverse direction of inequality sign when multiplying/dividing by a negative value)
x>-5
Answer:
Yes.
Step-by-step explanation:
Because sides are parallel, corresponding angles are congruent (angle W = angle V and angle U = angle T). By the third angle theorem (or you can use the reflexive property if that's easier), angle S = angle S. To determine triangles as similar, all angles must be congruent, and all sides must be equally proportional. This is true here because all of the angles are equal, so all of the sides must be proportional (I don't remember the theorem here)
To get the answer of x, use the proportional formula (UW/TV = US/TS). So (12/3)=(9/x), 4 = 9/x, 4x = 9, x = 9/4.
