Answer:
Step-by-step explanation:
Given: ∠N≅∠S, line l bisects TR at Q.
To prove: ΔNQT≅ΔSQR
Proof:
From ΔNQT and ΔSQR
It is given that:
∠N≅∠S (Given)
∠NQT≅∠SQR(Vertical opposite angles)
and TQ≅QR ( Definition of segment bisector)
Thus, by AAS rule,
ΔNQT≅ΔSQR
Hence proved.
Statement Reason
1. ∠N≅∠S given
2. ∠NQT≅∠SQR Vertical angles are congruent
3. line l bisects TR at Q. given
4. TQ≅QR Definition of segment bisector
5. ΔNQT≅ΔSQR AAS theorem
Hence proved.
Thus, option D is correct.
Answer:
Beth's mother can sew pairs of short pants in total of 235 for 6 days. While Lourdes can do 187 pairs in 8 days. So, Beth's mother has lack of two days compared to Lourdes. ... So, Beth's mother can sew another 78 pairs of short pants for two days.
I will assume the question is log (8x) = 4/3
This means, "The exponent we put on 10 to get 8x is 4/3"
10^(4/3) = 8x
x = [10^(4/3)]/8
x = 2.69
log (8*2.69) = 4/3 ?
log (21.52) = 4/3
1.33 = 4/3
1.33 = 1.33