subtract the midpoint numbers from endpoint b
x coordinate: 3- -1 = 4
y coordinate: -5 -2 =-7
now subtract the x number from the midpoint and add the y number to the midpoint
-1 -4 = -5
2- - 7 =9
missing endpoint is (-5,9)
Step-by-step explanation:
2x - 3y = 25
+ (5x + 3y = 10)
=> 7x = 35, x = 5.
Therefore 2(5) - 3y = 25, 3y = -15, y = -5.
The solution pair is (5,-5).
The space between the end of the wall and the towel rack will be <u>9.2 inches</u>.
<h3>What is space?</h3>
Space is the relative position of objects at a distance from one another.
In this instance, space refers to the empty area at each end of the towel rack.
<h3>Data and Calculations:</h3>
The length of the towel rack = 58.4 inches
The length of the wall = 76.8 inches
The difference between the lengths of rack and wall = 18.4 inches (76.8 - 58.4)
Since Henry wants the towel rack to be centered, the space between the end of the wall and the towel rack will be <u>9.2 inches</u> (18.4/2).
Thus, the space between the end of the wall and the towel rack will be <u>9.2 inches</u>.
Learn more about space at brainly.com/question/10558496
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<h3>Question Completion:</h3>
Let the towel rack be 58.4 inches long
The answer is B because the bottom has to be supplementary to 180 degrees because their supplementary angles
Given:ABCD is a rhombus.
To prove:DE congruent to BE.
In rombus, we know opposite angle are equal.
so, angle DCB = angle BAD
SINCE, ANGLE DCB= BAD
SO, In triangle DCA
angle DCA=angle DAC
similarly, In triangle ABC
angle BAC=angle BCA
since angle BCD=angle BAD
Therefore, angle DAC =angle CAB
so, opposite sides of equal angle are always equal.
so,sides DC=BC
Now, In triangle DEC and in triangle BEC
1. .DC=BC (from above)............(S)
2ANGLE CED=ANGLE CEB (DC=BC)....(A)
3.CE=CE (common sides)(S)
Therefore,DE is congruent to BE (from S.A.S axiom)
