Angles ptq and str are vertical angles and congruent.

circle t is shown. line segments t p, t q, t r, and t s are radii. lines are drawn to connect points p and q and points s and r to create secants. angles p t q and r t s are congruent.

which arcs are congruent?

arc s p and arc s r
arc p q and arc s r
arc p q and arc q r
arc s p and arc p r

Step-by-step explanation:

Chords QP and RS are congruent

Chords PS and QR are congruent

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1)

we know that

m∠PTQ≅m∠STR > by vertical angles

so

Triangles PTQ and STR are congruent by SAS postulate

because

PT≅ST > the radius of circle

QT≅RT > the radius of circle

m∠PTQ≅m∠STR

therefore

Chords QP and RS are congruent

Part 2)

we know that

m∠PTS≅m∠QTR > by vertical angles

so

Triangles PTS and QTR are congruent by SAS postulate  

because

PT≅QT > the radius of circle

ST≅RT > the radius of circle

m∠PTS≅m∠QTR

therefore

Chords PS and QR are congruent

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

answer: 4

step-by-step explanation: