Match the reasons with the statements in the proof to prove that triangle abc is congruent to triangle abd, given that ab ⊥ bd, ab ⊥ bc, and ac = ad.

given:

ab ⊥ bd
ab ⊥ bc
ac = ad

prove:

△abc ≅ △abd

1. ab ⊥ bd, ab ⊥ bc, ac = ad
hypotenuse - leg postulate
2. ∠abc and ∠abd are right angles
reflexive property of equality
3. ab = ab
perpendicular lines form right angles
4. △abc ≅ △abd
given

it reflected because of the glass maube

step-by-step explanation:

27

step-by-step explanation:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

p(x)= 8 x³ - 36 x² + 54 x - 27

q(x) = 2 x -3

you can check your mistake and then you can choose the correct option.

dividend =   8 x³ - 36 x² + 54 x - 27

divisor = 2 x -3

if you want to find quotient, proceed as follows

q(x)= 0

2 x - 3=0

x =

now , i have used division method , to find quotient and remainder