Given: AB II DC and mZ2 = m24
Prove: AD | BC
Reasons
given
Statements
1. AB DC
2. m 22=m24
3. 21 and 24 are supplements
5. mZ1+mZ2= 180°
6. 21 and 2 are supplements
7. AD BC
2. given
3. same side interior angles thm
4. def. of supplementary angles
5. substitution
6. def. of supplementary angles
converse same side interior angles thm.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).