Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7. TREC is a rectangle. What is the length of ET? 10 units 17 units 20 units 34 units

34 units

Step-by-step explanation:

Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;

Let O be the point of intersection of RC and ET;

RO+OC = RC

Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7

Since they intersect in the middle, RO = OC

2x-3 = x+7

Collect like terms

2x-x = 7+3

x = 10

RO = 2x-3

RO = 2(10)-3

RO = 17

since RO = OC, then OC = 17units

Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC

RC = ET = 17+17

RC = ET = 34units

Hence the length of ET is 34 units

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2