I think Ms.Gonzalez got 217 prizes on Wednesday.All you had to do was divide 1,307 by 6.
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Answer:
For right angle triangle,
we use Pythagoras theorem that is:

c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,


1225 = 400 + 
= 1225 - 400
= 825

b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,


1369 = 400 + 
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
Answer:
2
Step-by-step explanation:
9x + 9 = 25 + x
8x = 16
x = 2
make sure to ask if you need any further guidance.