Given: rt ≅ tv and st ≅ tu prove: rsvu is a parallelogram. statements reasons 1. rt ≅ tv; st ≅ tu 1. given 2. ∠rts and ∠vtu are vert. ∠s; ∠rtu and ∠vts are vert. ∠s 2. definition of vertical angles 3. ∠rts ≅ ∠vtu; ∠rtu ≅ ∠vts 3. vertical angles are congruent 4. ? 4. sas congruency theorem 5. ∠vrs ≅ ∠rvu; ∠usr ≅ ∠suv; ∠vru ≅ ∠rvs; ∠rus ≅ ∠usv 5. cpctc 6. ∠vrs and ∠rvu, ∠usr and ∠suv, ∠vru and ∠rvs, ∠rus and ∠usv are each a pair of alternate interior angles 6. definition of alternate interior angles 7. rs ∥ uv and ru ∥ sv 7. converse of the parallelogram diagonal theorem 8. rsvu is a parallelogram 8. definition of parallelogram what is the missing statement in step 4?

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96