Can u help me in this problem. i don't know how to do it
1 answer:
Answer:
x=11
Step-by-step explanation:
- The angles directly opposite 80 and 60 are also 80 and 60 respectively, because they are vertical angles
- Now the triangle we see there, on the bottom left corner the angle is 80 degrees and the bottom right the angle is 60 degrees
- Theorem states that the sum of angles in a triangle is 180 degrees
- So 80 degrees plus 60 degrees plus the angle (x+51) is equal to 180
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<h2>Hello!</h2>
The answer is:
The correct option is:
A) Jeff, 4.5 hours; Julia 9 hours.
<h2>Why?</h2>To solve the problem, we need to write two equations using the given information.
So, writing the first equation we have:
We know that Jeff can weed the garden twice as fas as his sister Julia, so:
Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:
Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:
We have that Julia could weed the garden by herself in 9 hours.
So, calculating how long will it take to Jeff, we have:
We have that Jeff could weed the same garden by himself in 4.5 hours.
Hence, the correct option is:
A) Jeff, 4.5 hours; Julia 9 hours.
Have a nice day!