Ben uses a compass and a straightedge to bisect angle pqr, as shown below: the figure shows two rays qp and qr having a common end point q. an arc drawn from q cuts the ray qp at a and the ray qr at b. which statement best explains why ben should not change the width of the compass while drawing the arcs at a and b from q? a. ∠aqs ≅ ∠bqs when lines qp and qr are equal. b. ∠aqs ≅ ∠bqs when segments aq and bq are equal. c. ∠aqs ≅ ∠bqs when angle asq is equal to angle bqs. d. ∠aqs ≅ ∠bqs when angle aqs is equal to angle bsq.

option b is right

Step-by-step explanation:

Given that Ben uses a compass and a straightedge to bisect angle PQR,

The figure shows two rays QP and QR having a common end point Q. An arc drawn from Q cuts the ray QP at A and the ray QR at B.

The purpose of taking equal width in the compass while drawing the arcs at A and B from Q are to get an isosceles triangle QAB so that by property of isosceles triangle we will have angle aqs = bqs

Hence out of the four options given I option is wrong because qp need not be equal to qr as per given statement

b) is right.

c) is wrong because asq why equal to bsp when arcs are equal is not justified

d is wrong aqs is equal to bsq is not explained properly

So option b is right

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497