see pictures below1) given: d is the midpoint of segment a c., segment b d is perpendicular to segment a c. prove: triangle a d b is congruent to triangle c d b. refer to the proof above to answer the following 5 questions. what should replace (a) in the proof? segment a b is congruent to segment c b. segment a d is congruent to segment d c. segment b d is congruent to segment a c. segment a c is congruent to segment a c. 7. what should replace (b) in the proof? midpoint perpendicular lines right angles right triangles 8. what should replace (c) in the proof? definition of perpendicular lines definition of right angles definition of midpoint definition of right triangles 9. what should replace (d) in the proof? symbols for segment a c is congruent to segment a c. symbols for segment a b is congruent to segment a b. symbols for segment b c is congruent to segment b c. symbols for segment b d is congruent to segment b d. 10. what should replace (e) in the proof? ssa postulate sss postulate ll theorem hl theorem

After D is the midpoint of AC we write

(a) AD  congruent to DC

Angle ADB and angle CDB are both

(b) right angles

because of the

(c) definition of perpendicular lines

The reflexive property means a thing equals itself. The common side in both triangles is BD, so we write

(d) BD is congruent to BD

Now we have a right triangle with two pair of congruent legs, so by the Leg Leg Theorem we can conclude triangles ADB and CDB are congruent

(e) LL

We could have also answered SAS, Side Angle Side for (e) but it's not one of the choices.   SSA is not the same thing, and not a postulate.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: 819.89 miles across america

step-by-step explanation: