That statement is true. According to the Vertical Angles Postulate, if two angles are vertical angles, then they are congruent (have equal measures).
Answer:
System of equations
160 = 2W + 2L
W = L - 16
Solution to system of equations
W = 32 ft
L = 48 ft
Explanation:
The width is 16 feet less than the length, so the appropriate equation for that is ...
... W = L - 16
Using this expression for W, we can substitute into the equation for perimeter:
... 160 = 2(L - 16) + 2L
... 160 = 4L -32 . . . . . . . collect terms
... 192 = 4L . . . . . . . . . . add 32
... 48 = L . . . . . . . . . . . . divide by 4
... W = 48 -16 = 32 . . . . find W using the relation with L
Length is 48 ft; width is 32 ft.
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It should be -1 I believe.
Given :
A bag with 2 ½ ounces of peanuts can make ⅔ of a jar of peanut butter.
To Find :
How many ounces of peanuts will it take for there to be one jar of peanut butter.
Solution :
![2\dfrac{1}{2}\ ounces = \dfrac{2}{3}\ jar\\\\\dfrac{5}{2}\ ounces = \dfrac{2}{3}\ jar\\\\1= \dfrac{15}{4}\ \dfrac{ounces}{jar}](https://tex.z-dn.net/?f=2%5Cdfrac%7B1%7D%7B2%7D%5C%20ounces%20%3D%20%5Cdfrac%7B2%7D%7B3%7D%5C%20jar%5C%5C%5C%5C%5Cdfrac%7B5%7D%7B2%7D%5C%20ounces%20%3D%20%5Cdfrac%7B2%7D%7B3%7D%5C%20jar%5C%5C%5C%5C1%3D%20%5Cdfrac%7B15%7D%7B4%7D%5C%20%5Cdfrac%7Bounces%7D%7Bjar%7D)
Now,
1 jar of peanut butter is made by :
![1\times jar \times \dfrac{15}{4} \dfrac{ounces}{jar}\\\\\dfrac{15}{4}\ ounces](https://tex.z-dn.net/?f=1%5Ctimes%20jar%20%5Ctimes%20%5Cdfrac%7B15%7D%7B4%7D%20%5Cdfrac%7Bounces%7D%7Bjar%7D%5C%5C%5C%5C%5Cdfrac%7B15%7D%7B4%7D%5C%20ounces)
Hence, this is the required solution.