Since FGHI is a rectangle, opposite sides are equal in length. Therefore, FG = IH.
FH = 4c
IG = 9c - 80
Given FGHI is a rectangle, we have:
FG = IH
FG = IG + GI
FH = IH + IG
Using the above equations, we get:
4c = 9c - 80
80 = 5c
c = 16
Therefore, the value of c is 16.
Quadrilateral FGHI is a rectangle, FH=4c, and GI=9c–80. What is the value of c?
5 answers
Quadrilateral RSTU is a square. What is RS?
Between T -------- U (2b-45)
Between S -------- T (b+2)
Between T -------- U (2b-45)
Between S -------- T (b+2)
Since RSTU is a square, all four sides are equal in length.
ST = SU = 2b - 45
ST = RS = b + 2
Since all sides are equal, we can set up an equation:
b + 2 = 2b - 45
Subtract b from both sides and add 45 to both sides:
2 = b + 45
b = -43
Therefore, the value of RS is:
RS = -43 + 2 = -41
ST = SU = 2b - 45
ST = RS = b + 2
Since all sides are equal, we can set up an equation:
b + 2 = 2b - 45
Subtract b from both sides and add 45 to both sides:
2 = b + 45
b = -43
Therefore, the value of RS is:
RS = -43 + 2 = -41
Quadrilateral HIJK is a square. What is m∠GHI?
Since HIJK is a square, all angles are right angles and all sides are congruent.
m∠GHI = 90 degrees.
m∠GHI = 90 degrees.