Given: AD BC and BCD ADC Prove: DE=CE
Angles Segments Trangles
Reasons
AAS
SAS
CPCTC
given
A
B
Statements
✓ 1. AD BC
✓ 2. ZDEA and CEB are
vertical angles
3. DC DC
✓ 4. ZDEA CEB
Reasons
1 given
2. def of vertical angles
3. reflexive property
4. vertical angles theorem
D

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

answer: 193

explanation:

200-7 = 193