Answer:
Length of RU is 20 units.
Step-by-step explanation:
In ΔRSt and ΔRUT,
ST ≅ TU [Given]
RT ≅ RT [Reflexive property]
∠RTS ≅ ∠RTU [Both the angles are the right angles]
ΔRTS ≅ ΔRTU [By SAS property of congruence]
Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]
8x = 6x + 5
8x - 6x = 5
2x = 5
x = 2.5
Length of RU = (6x + 5)
= 6(2.5) + 5
= 15 + 5
= 20
Length of RU is 20 units.
Answer:
There were 30 children and 10 adults.
Step-by-step explanation:
Since they sold tickets to adults and childrens, the sum of those tickets must be equal to the total tickets that were sold, so we can mount our first equation as shown below:
adult + children = 40
Each adult ticket costs $9 and each children costs $5 and the total recieved was $240, therefore:
9*adult + 5*children = 240
We can mount the following equation system:
adult + children = 40
9*adult + 5*children = 240
We will multiply the first equation by -5 and sum both equations:
-5*adult -5*children = -200
9*adult + 5*children = 240
4*adult = 40
adult = 40 / 4
adult = 10
adult + children = 40
children = 40 - adult = 40 - 10 = 30
There were 30 children and 10 adults.
First you have to make them to a common denominator.
5/6 7/12 7/10
50/60 35/60 42/60
from these the greatest value is 35/60 because 35 parts of 60 is bigger than the rest.
so the answer is 7/12
A term is a single number or a variable. for example looking at an expresion 4x-7=5 the terms would be 4x, -7, and 5. hope that helped!
8 choose 3 = 8!/(3!*(8-3)!) = 8*7*6/(3*2) = 56
