Answer:
We know that lines <em>l</em><em> </em>and <em>m</em><em> </em>are parallel. The alternate interior angles rule states that the alternate interior angles formed by parallel lines are equal. So let's equate them.
2x + 22 = 4x
putting variables on one side,
22 = 4x - 2x
Thus 2x = 22
x becomes 22÷2
Therefore,<u> x = 11.</u>
pls give brainliest for the answer
Answer:
129.6% profit
Step-by-step explanation:
1)Firstly in order to find the overall profit you take away $2.70 from $6.20 = $3.50
2)The next step is to put the profit over the amount paid = 3.50/2.70 = 35/27.
3)In order to find the percentaage you multiply 35/27 by 100 = 129.629 recurring. This rounded to 1 decimal place is 129.6%
Thank you for reading, please let me know if I've missed anything out!
Tan(35)=x/12
x=12*tan(35)=8.40
Answer: approximately 29 feet
Explanation: You need to find a tree so that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.
The length of the shadow is an adjacent side and is 35.
The height of the tree is the opposite side. You could use X.
Tan ratio = opposite/adjacent
tan(40) = x/35
x = 35*tan(40) =29.37
Since C is 2mi east of A and 2mi south of B, the shortest distance from A to B would be a straight line which is equal to the hypotenuse of a right triangle with a base of 2mi and a height of 2mi..
d^2=x^2+y^2
d^2=2^2+2^2
d^2=4+4
d^2=2*4
d=√(2*4)
d=2√2 mi (exact)
d≈2.83 mi (to nearest hundredth of a mile)