Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths 
.
A 30-60-90 right triangle has side lengths 
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length 
. Therefore, 
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to 
. This means was multiplied by 
. This means that side c is 
.
Answer:
546 manogoes
Step-by-step explanation:
Sadie has mangos and watermelons in a ratio of 91:11.
We need to find the number of mangoes if she has 66 watermelons.
It means that,
11x = 66
x = 6
So,
Mangoes = 91x
= 91(6)
= 546
Hence, there are 546 mangoes.
Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Let the number of miles be x.
Then, x miles cost 0.6x.
The initial fixed fee is $5, and the toll is $5.
cost = initial fixed fee + cost per mile + toll
46 = 5 + 0.6x + 5
0.6x + 10 = 46
0.6x = 36
x = 36/0.6
x = 60
You can travel 60 miles.
Answer:
10x+12 is the answer in my calculation.
