Answer:

Step-by-step explanation:
we know that
In the right triangle of the figure XYZ
Applying the Pythagorean Theorem

substitute the given values



square root both sides

Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown





Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25
Answer:
CD= 9
Step-by-step explanation:
AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
<h3>Speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the average swimming speed, b the average biking speed and c the average running speed.
Her average biking speed was 2 times her average running speed, hence:
Her average running speed was 8 times her average swimming speed. Hence:
Total distance of the triathlon was 55.5 kilometers. Hence:
a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5 (3)
From equation 1, 2 and 3:
a = 2.5, b = 24, c = 12
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
Find out more on speed at: brainly.com/question/6504879
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:

Option 1 is incorrect
2) For x < 87

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:

Option 3 is correct
4) For x < 77

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect