Answer:
x = 12
Step-by-step explanation:
The figure in the question was split into the triangles in the attachment to the solution.
Now applying the principle of similar triangles, we have:

cross-multiplying, we have:

solving for x,
x = 12
Jewelery maker has
24 jade beads
30 teak Beads
She has to make necklaces with each necklace having the same number of beads
So we need to find the highest common factor for both 24 and 30
The factors for both numbers are as follows
24 -1,2,3,4,6,8,12,24
30 - 1,2,3,5,6,10,15,30
The highest common factor for both is 6
The greatest number of necklaces she can make is 6
Number of jade beads - 24/6 = 4 jade beads
Number of teak beads - 30/6 = 5 teak beads
So each necklace will have 4 jade beads and 5 teak beads
the set of all rational numbers
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.