What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

∠1 = 29 degrees

∠2 = 151 degrees

∠3 = 29 degrees

∠4 = 151 degrees

Step-by-step explanation:

By look at the figure, ∠1 and ∠3 are opposite angles.

Opposite angles are equal.

Given: ∠1 = 3x -1 and ∠2 = 2x + 9

Therefore, by the property

3x - 1 = 2x + 9

We can find x.

3x - 2x = 9 +1

1x = 10

x = 10

By plugging in x =10 in the above expression, we get

∠1 = 3(10) - 1

∠1 = 30 -1

∠1 = 29 degrees.

∠3 = 29 degrees.

∠2 and∠4 are equal since they are opposite angles.

Let's find ∠2

∠2 + ∠1 = 180 degrees since there are in a straight line.

∠2 + 29 = 180

∠2 = 180 -29

∠2 = 151 degrees.

∠4 = 151 degrees

Hope this will helpful.

Thank you.

29 degrees and 151 degrees!

Step-by-step explanation:

b

step-by-step explanation:

the word superfluous means unnecessary

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05