Instruction Active

Writing a Two-Column Proof

Try it

Angles Reasons

Given: ZABC e ZDEF and

ZGHS ZDEF

Prove: m ZABC = mZGHI

LABC

ZDEF

ZGHI

mZABC

x

mZGHI

Statements

✓ 1. LABC - ZDEF

✓ 2. ZGHI ZDEF

3. ZDEF - ZGHI

4. ZABC - ZGHI

Reasons

1. given

2. given

3. symmetric property

4. transitive property

Demo

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5 select the best answer from the choices provided a b c d

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?