2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are create
d. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees.
What is mAngleMHJ?
35°
50°
72.5°
92.5°
What is mAngleMHJ?
35°
50°
72.5°
92.5°
2 answers:
Answer:
m∠MHJ = 50°
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Step-by-step explanation:
Best explanation is as shown in the attached figure.
As shown in the figure:
x + 15 = 2x - 20 ⇒ vertex angles are congruent
solve for x ⇒ ∴ x = 35°
So, ∠MHJ = 2x - 20 = 2*35 - 20 = 50°
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The measure of all angles will be:
∠MHJ = 2X - 20° = 2 * 35 - 20 = 50°
∠JHK = 180° - ∠MHJ = 180 - 50 = 130°
∠KHL = X + 15° = 35° + 15° = 50°
∠LHM = ∠JHK = 130°
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Answer:
3
Step-by-step explanation:
Given:
Team heights (inches):
61, 57, 63, 62, 60, 64, 60, 62, 63
To find: IQRs (interquartile ranges) of the heights for the team
Solution:
A quartile divides the number of terms in the data into four more or less equal parts that is quarters.
For a set of data, a number for which 25% of the data is less than that number is known as the first quartile
For a set of data, a number for which 75% of the data is less than that number is known as the third quartile
Terms in arranged in ascending order:
Number of terms = 9
As number of terms is odd, exclude the middle term that is 62.
is median of terms
Number of terms (n) = 4
Median =
So,
So, 25% of the heights of a team is less than 60 inches
is the median of terms
Median =
So,
So, 75% of the heights of a team is less than 63 inches
Interquartile range =
The interquartile range is a measure of variability on dividing a data set into quartiles.
The interquartile range is the range of the middle 50% of the terms in the data.
So, 3 is the range of the middle 50% of the heights of the students.