Use the figure to complete each statement. m cd is the ab ae = ½ if ab = 18, then eb =is the midpoint of

3.) 90°; perpendicular bisector; AB; 9; E, AB.

Step-by-step explanation:

∠BEC and ∠BED form a linear pair.  This means their sum is 180°.  Since we know that m∠BEC = 90°, this means that

m∠BED = 180-90 = 90°.

Since AE = AB and CD intersects AB at right angles, this means that CD is the perpendicular bisector of AB.

This means that AE = 1/2AB.

If AB = 18, then AE = 1/2(18) = 9.

3)

a. m<BED = 90°

b. CD is the perpendicular bisector of AB

c. AE is 1/2 AB (AE = EB)

d. If AB = 18 , then EB = 18/2 = 9

e. E is the midpoint of AB

Hope it helps.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0