Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.
Line segment ST is congruent to which line segment?

The figure is missing so I attached a helping figure

Line segment ST is congruent to line segment UT

Step-by-step explanation:

From the attached figure

∵ ST and UT are tangents to circle K at points S and U

∵ SK and UK are radii in the circle K

- The tangent is perpendicular to the radius at the point of tangent

∴ ST ⊥ KS ⇒ at point S

∴ m∠KST = 90°

∴ UT ⊥ KU ⇒ at point U

∴ m∠KUT = 90°

∴ m∠KST = m∠KUT

In the two triangles KST and KUT

∵ KS = KU ⇒ radii

∵ m∠KST = m∠KUT ⇒ proved

∵ KT is a common side in the two triangles

- That means the two triangles are congruent by HL postulate

    of congruence (hypotenuse and leg of right triangle)

∴ Δ KST ≅ KUT ⇒ HL postulate of congruence

- By using the result of congruence

∴ ST = UT

Line segment ST is congruent to line segment UT

hi,

6x times 4 is 24x and 5 times 4 is 20, so the answer is 24x+20.

hope this and for a little humor i am groot.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.