Divide total pieces of candy by total people:
35 / 5 = 7
Each person receives 7 pieces of candy
Answer: Answers provided below in sequential order.
Step-by-step explanation: UV = 12(3)-1
(They said that x = 3)
UV = 35 (12*3-1)
70 = TV
TU = UV
8x + 11 = 12x - 1
-4x = 10
x = -10/4 or -5/2 (simplified)
TU = 8 (3) + 11
TU = 35 (24+11)
Answer:
The GCF of 7 and 12 is 1.
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem

substitute the given values



simplify

step 2
In the right triangle ACD
Find the cosine of angle CAD

substitute the given values

----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC

substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross


step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem

substitute the given values



simplify

The fraction Is already in its simplest form :)
They do not have any common factors