To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:

In this case,the equation would be:
(7-2)×180°
=5×180°
=900°
We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°
The interior angle of vertex E:
6x=6(25)=150°
Therefore,the interior angle of vertex E is 150°.
Hope it helps!
The variable s I equal to the number 2
Answer:
mÐ4 = 30°
Step-by-step explanation:
Vertical angles are angles that are opposite to each other, thus are said to be equal.
Since,
i. Ð1 and Ð3 are vertical angles
ii. Ð2 and Ð4 are vertical angles
This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.
So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
<h3><u>Probability </u></h3>
Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
- 1 - 0.61 = 0.39
- 1 - 0.56 = 0.44
- 0.39 x 0.44 = X
- 0.1716 = X
Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
Learn more about probability in brainly.com/question/11234923
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The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds