<span>3x+4=y+5, then y+5=3x+4
It is called: reflexive property
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</span>
<span>x = y and y = 10, then x = 10
It is called: equality substitution property
</span>
This is the answer for your question: y=3x+130
Answer:
x = 76.80°
4x - 142 = 165.18°
x/5 = 15.36°
5x/9 + 60 = 102.66°
Step-by-step explanation:
Total angle in a quadrilateral is 360
x + 4x - 142 + x/5 + (5/9)x + 60 = 360
259x/45 + - 82 = 360
259x/45 = 442
x = 76.7953668
x = 76.80°
4x - 142 = 165.18°
x/5 = 15.36°
5x/9 + 60 = 102.66°
now, keeping in mind that 1 degree has 60 minutes, and that 1 minute has 60 seconds and therefore there are 60*60 seconds in 1 degree, or 3600 seconds.
72°22'30", has 72 degrees, plus 22 minutes and 30 seconds.
or 72 degrees plus 22/60 degrees plus 30/3600 degrees.
![\bf 72+\boxed{\cfrac{22}{60}+\cfrac{30}{3600}}\implies \cfrac{11}{30}+\cfrac{1}{120}\implies \stackrel{\textit{LCD of 120}}{\cfrac{44+1}{120}}\implies \cfrac{45}{120}\implies \cfrac{3}{8}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 72+\cfrac{3}{8}\implies 72\frac{3}{8}^o](https://tex.z-dn.net/?f=%20%5Cbf%2072%2B%5Cboxed%7B%5Ccfrac%7B22%7D%7B60%7D%2B%5Ccfrac%7B30%7D%7B3600%7D%7D%5Cimplies%20%5Ccfrac%7B11%7D%7B30%7D%2B%5Ccfrac%7B1%7D%7B120%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7BLCD%20of%20120%7D%7D%7B%5Ccfrac%7B44%2B1%7D%7B120%7D%7D%5Cimplies%20%5Ccfrac%7B45%7D%7B120%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B8%7D%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%2072%2B%5Ccfrac%7B3%7D%7B8%7D%5Cimplies%2072%5Cfrac%7B3%7D%7B8%7D%5Eo%20)
Answer:
In the diagram, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.
Step-by-step explanation:
To be parallel in geometric terms means that two planes are on opposite sides of each other and will never intersect or touch. Knowing this, we can go through the choices one by one to see if those planes are parallel.
<em>LMP and JKL are </em><u><em>not</em></u><em> parallel because they intersect at point L.</em>
<em>JMN and JKL are </em><u><em>not</em></u><em> parallel because they intersect at point J.</em>
<em>JKN and LMP </em><u><em>are</em></u><em> parallel because they never intersect or touch. </em>
<em>JMN and KLO </em><u><em>are</em></u><em> parallel because they never intersect or touch. </em>
So, planes JMN and KLO are parallel and planes JKN and LMP are also parallel.
