Which simplified expression matches the set of tiles shown?
-x² – x+2
x² - x + 2
-x²+x+2
x2+x+2

The expression  - x² - x + 2  and   - x² + x + 2  matches the set of tiles

Step-by-step explanation:

Given four expression as :

A ) - x² - x + 2

solving by mid term breaking

Or,  - x² - 2 x + x + 2

Or,  - x ( x + 2 ) + 1 ( x + 2 )

or, ( x + 2 ) ( - x + 1 )

B )   x² - x + 2

solving by mid term breaking

Or,   x² - 2 x + x + 2

or,  x ( x - 2 ) + 1 ( x + 2 )

So, the expression will not break

C )  - x² + x + 2

solving by mid term break

Or,  - x² + 2 x - x + 2

or,  - x ( x - 2 ) - 1 ( x - 2 )

or,  ( x - 2 ) ( - x - 1 )

D )  x² + x + 2

solving by mid term break

Or, ) x² + 2 x - x + 2

Or,   x ( x + 2 ) - 1 ( x - 2 )

so, The expression will not break

Hence The expression  - x² - x + 2  and   - x² + x + 2  matches the set of tiles answer

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)