Answer:
Step-by-step explanation:
Comment and answer
ABC is similar to XBY The triangles are similar because
- B is a common angle to both
- <A = <BXY AB is a transversal cutting 2 parallel lines
- <C = <BYX BC is a transversal cutting 2 parallel lines
BX = 2 Given
XA = 3 Given
BY = 3 Given
YC = x Object of question
BX/(BX + XA) = BY / (BY + YC) Parts of two similar triangles
2/(2 + 3) = 3/(3+ x) Combine the left
2/5 = 3/(3 + x) Cross Multiply
2*(3 + x) = 3*5 Remove the brackets
6 + 2x = 15 Subtract 6 from both sides
6-6+2x = 15 - 6 Combine
2x = 9 Divide by 2
2x/2 = 9/2
x = 4.5
Answer
x = 4.5 or D
X=10
Step-by-step explanation:
(10-5)^2= (5)^2= 25
If she did not reach her goal then
miles she drove must be less than 385
or
miles she drove<385
so rate=55 miles per hour
so
miles driven=h times 55
subsitute
55 times h<385
divide both sides by 55
h<7
she drove less than 7 hours
inequality=55h<385
h<7
Answer:
4! = 24
Step-by-step explanation:
Hope this helps.
Answer:
There were 343 children and 197 adults.
Step-by-step explanation:
In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:
where c = number of children, and a = number of adults,
c + a = 540
1.25c + 2a = 822.75
Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:
2c + 2a = 1080
<u> - 1.25c + 2a = 822.75</u>
= .75c = 257.25
Now, you can multiply both sides by 4/3 to find c:
c = 257.25 × 4 ÷ 3
c = 343
So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:
where c + a = 540 and c = 343,
343 + a = 540
a = 197
So, there were 197 adults.