Answer:
First off lets note that this is an iscocleles triangle since the 2 base angles are equal. Additionally, we know that the 2 sides adjacent to the base are equal in iscocleles triangles. Therefore, RP=RQ
With that in mind, lets solve:
If RP=RQ then we can make the equation [tex]5x-4 = x+4[/tex] by using substitution
Now, we can solve for x:
[tex]5x-4 = x+4[/tex]
[tex]5x-x-4=x-x+4[/tex]
[tex]4x-4 = 4[/tex]
[tex]4x-4+4 = 4+4[/tex]
[tex]4x = 8[/tex]
[tex]4x/4=8/4[/tex]
[tex]x=2[/tex]
Now that we know what x is equal to we can solve for PR
[tex]PR = 5(2)-4[/tex]
[tex]PR = 10-4[/tex]
[tex]PR = 6[/tex]
Hope this helped!
Step-by-step explanation:
