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

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.