Answer:
LON and MLN are both equal to 126 degrees,
since the angles with the value '4x + 7' and '7x - 35' degrees are equal to each other, you can rewrite it like this:
4x+7=7x-35
now, take the 7x away from both sides:
-3x+7=-35
then, subtract 7 from both sides:
-3x=-42
now, divide both sides by -3:
x=14
now that we know the value of x (14), we can plug it into the expressions.
4(14)+7=63
7(14)=63
add them together to find the angle MLN
and since the opposite angle (LON) is equal to MLN, they both = 126 degrees
hope this helped :)
Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:
Then the total amount of pure fruit juice in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:
+
--------------------------------------
We substitute the value of A into one of the two equations and solve for B.
Very large. Idk. This is a crazy question
Answer:
See below ~
Step-by-step explanation:
<u>Finding x</u>
- 2x - 28 = x/2
- 3/2x = 28
- 3x = 56
- x = 56/3 = 18.66666667
- The exact side length of the small square is <u>18.66666667 cm</u> and the exact side length of the big square is <u>37.3333334 cm</u>.
- The approximate side length of the small square is <u>18.7 cm</u> and the approximate side length of the big square is <u>37.3 cm</u>.
