The figure below shows rectangle abcd:

rectangle abcd with diagonals ac and bd passing through point e

the following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other:

statement reason
abcd is a rectangle. given
line segment ab and line segment cd are parallel definition of a parallelogram
line segment ad and line segment bc are parallel definition of a parallelogram
∠cad ≅ ∠acb alternate interior angles theorem
definition of a parallelogram
∠adb ≅ ∠cbd alternate interior angles theorem
δade ≅ δcbe angle-side-angle (asa) postulate
line segment be is congruent to line segment de cpctc
line segment ae is congruent to line segment ce cpctc
line segment ac bisects line segment bd definition of a bisector

which statement can be used to fill in the blank space?
line segment ab is congruent to line segment cd
line segment be is congruent to line segment ae
line segment be is congruent to line segment ce
line segment bc is congruent to line segment ad

yes

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3