Answer:
your answer will be <em><u>B. HL Theorem </u></em>
Step-by-step explanation:
hope it helps you...
By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
<h3>How to determine the distance between two points</h3>
In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:
![\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}](https://tex.z-dn.net/?f=%5Ccos%20L%20%3D%20%5Cfrac%7B%2819.6%5C%2Cm%29%5E%7B2%7D-%2814.8%5C%2Cm%29%5E%7B2%7D-%2821.4%5C%2Cm%29%5E%7B2%7D%7D%7B-2%5Ccdot%20%2814.8%5C%2Cm%29%5Ccdot%20%2821.4%5C%2Cm%29%7D)
L ≈ 62.464°
Then, we get the distance between points M and N by the law of the cosine once again:
![MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}](https://tex.z-dn.net/?f=MN%20%3D%20%5Csqrt%7B%287.4%5C%2Cm%29%5E%7B2%7D%2B%2810.7%5C%2Cm%29%5E%7B2%7D-2%5Ccdot%20%287.4%5C%2Cm%29%5Ccdot%20%2810.7%5C%2Cm%29%5Ccdot%20%5Ccos%2062.464%5E%7B%5Ccirc%7D%7D)
MN ≈ 9.8 m
By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.
To learn more on triangles: brainly.com/question/2773823
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Answer:
2, 1, 1/2, 1/4
Step-by-step explanation:
2¹ = 2
2^0 = 1
2^-¹
= 1/2¹
= 1/2
2^-2
= 1/2²
= 1/2*2
= 1/4
To complete the table
2² 2¹ 2^0 2^-1 2^-2
4 2 1 1/2 1/4
Answer:
x=-2.2 y=-1.6
Step-by-step explanation:
8x+y=-16
-3x+y=5
5x=-11
x=-11/5 or -2.2
-3x+y=5
-3(-2.2)+y=5
6.6+y=5
-6.6+y=-6.6
y=-1.6