9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
<u>Given</u>:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
<u>Find</u>:
x, y
<u>Solution</u>:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
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Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
Answer: Your answer would be -8
Step-by-step explanation:
You have to divide each side by factors that doesn't contain the variable.
Hope this helped you! <3
Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
Answer$32
Step-by-step explanation:
125 divided by 2 = 31.25 +00.05+32
<h3><em>= 3x - 2 + 3x - 9 + 4x - 9 = 180 ( Angle sum property )</em></h3><h3><em>= 3x + 3x + 4x - 2 - 9 - 9 = 180 </em></h3><h3><em>= 10x - 20 = 180 </em></h3><h3><em>= 10x = 180 + 20 </em></h3><h3><em>= 10x = 200</em></h3><h3><em>= x = 200 / 10 </em></h3><h3><em>= x = 20</em></h3><h3><em>therefore the angle's are,</em></h3><h3><em>58, 51, 71.</em></h3><h3><em>HOPE IT HELPS !!!</em></h3>
