Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know
Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC =
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer: 14 days
Step-by-step explanation:
Day 1: 1 minute snooze = 24 minutes
Day 2: 2 minute nooze = 23 minutes ; these examples show snooze time = days.
We can set up an equation for this situation: 25 - s = r ; where s = snooze time and r = time to get ready.
Given the problem, we can fill out this equation with: 25 - s = 11
When you solve this equation, time snoozed = 14.
We already know that snooze time = days, so days = 14.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
9514 1404 393
Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
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<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
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<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
