According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

x is 3/2. Replace this value in both expression to find the measure of each angle.

The measure of these angles is 47°
Hello there! A. 3.75 hours is your answer.
Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.
total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)
72 ÷ 2.5 = 28.8 cookies an hour
Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.
180 cookies ÷ x time = 28.8
Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.
180 ÷ 3.75 = 28.8.
So, this is your correct answer.
<span>A. 54°; acute is the answer</span>
Answer:
Statement 2 (The ages of the Stars are the most dispersed from the team’s mean).
Step-by-step explanation:
Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data. Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion. In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true i.e. the option 2!!!