In δabc,
ad
and
be
are the angle bisectors of ∠a and ∠b and
de
║
ab
. if m∠ade is with 34° smaller than m∠cab, find the measures of the angles of δade

Step-by-step explanation:

∠ADE = ∠CAB -34

∠ADE = (1/) of ∠CAB because of alternate interior angles of parallel lines

(1/2)∠CAB = ∠CAB - 34 => ∠CAB = 68° and ∠ADE = 34°

∠ADE = ∠CAB -34

∠ADE = (1/) of ∠CAB because of alternate interior angles of parallel lines

(1/2)∠CAB = ∠CAB - 34 => ∠CAB = 68° and ∠ADE = 34°

Step-by-step explanation:

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!