a) 2:3
c) 4:1
e) 2:1
g) 10:1
i) 60:1
b) 24: 1
d) 8:1
f) 3:4
h) 100:1
j) 20:1
Step-by-step explanation:
a) 10:15 then divide each by 5 bc its a common denominator
c) 20:5 then divide each by 5 bc its a common denominator
e) 12:6 then divide each by 6 bc its a common denominator
g) 40:4 then divide each by 4 bc its a common denominator
i) 600:10 then divide each by 10 bc its a common denominator
b) 72:3 then divide each by 3 bc its a common denominator
d) 40:5 then divide each by 5 bc its a common denominator
f) 60:80 then divide each by 20 bc its a common denominator
h) 500:5 then divide each by 5 bc its a common denominator
j) 60:3 then divide each by 3 bc its a common denominator
6x-12=4x+10
2x-12=10
2x=22
x=11
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
