5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.
So you all need to do is replace each letter by its value and do the calculus:
5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13
So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)
Hope this helps! :)
Answer: The area of the top of the walkway is 1,050 square feet
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Area of a rectangle: width x length (of the base)
Replacing with the values given and solving for A:
A = 25 feet x 42 feet = 1,050 square feet
In conclusion, the area of the top of the walkway is 1,050 square feet
Feel free to ask for more if needed or if you did not understand something.
The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
Learn more about angle relationship on:
brainly.com/question/12591450
Answer:

Step-by-step explanation:
Given

Required
Determine the true statement
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Collect Like Terms


Divide through by 7

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<em> -- This is true</em>
Answer:
10
Step-by-step explanation: