Answer: 36 pieces
Step-by-step explanation:
3/(1/12)=36
3*12+36
If triangles AMN and ABC are similar, then
AM/AB = AN/AC
or
AM/(AM + MB) = AN/(AN + NC)
Check if this is true:
AM/AB = 21/(21 + 9) = 21/30 = 7/10
AN/AC = 14/(14 + 6) = 14/20 = 7/10
The angle at vertex A is common to both of the triangles.
Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:



Calculate the total number of beads used for all three designs



The number of available beads is:

Divide 750 by 83, to get the total number of designs


Remove decimal (do not approximate)

The number of beads remaining is calculated using:



Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536
Answer:
N= -4
Step-by-step explanation:
Since mid-point of -13 and 3 is -4.
<h3>
Answer: 97/112</h3>
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How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112