An easy way to think of this when you solve this, is to remember that all the angles in a triangle add up to 180 degrees. Therefore, the equation would be
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23
Answers:
- JK = 29
- LM = 29
- KL = 10
- MJ = 10
- JK = LM and KL = MJ
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Explanation:
Let's plug in the given x value
- JK = 5x+9 = 5*4+9 = 20+9 = 29
- LM = 6x+5 = 6*4+5 = 24+5 = 29
Both JK and LM are equal to 29, so this means JK = ML
Now use the y value
- KL = 2y-6 = 2*8-6 = 16-6 = 10
- MJ = y+2 = 8+2 = 10
Both JM and KL are equal to 10, so JM = KL
These facts are sufficient to prove we have a parallelogram.
Answer:
3 long sleeve ,5 t shirt
Step-by-step explanation:
4x+12y=56
x+y=8
multiply bottom equation by four
4x+12y=56
4x+4y=32
subtract the two equations
8y+24
divide both sides by eight
y=3
plug into original equation
x+3=8
simplify
x=5
Answer:
JZF
Step-by-step explanation:
when JZF and HZJ are added together to make 180 degrees
this is significant because when a angle is supplementary both angles must add up to 180 degrees
