Answer:
![10.7\%](https://tex.z-dn.net/?f=10.7%5C%25)
Step by step explanation
hope this helps
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Answer:
option=d.
hkm=jkl( by vertical opposite angle)
155°=(5x+15)°
155-15=5x
140=5x
140/5=x
28=x
Answer:
4.91 is the answer
Explanation:
4.908 the hundredths place is the 0, and 8 is greater than 5, so it would become 4.91
Answer:
1. 9/16 * 12/13 = 27/52
2. 7/10 * 5/28 = 1/8
Step-by-step explanation:
1.
9 / 16 * 12/13
9 * 12 = 108
16 * 13 = 208
108 / 208
Simplify:
27/52
2.
7 / 10 * 5 / 28
7 * 5 = 35
10 * 28 = 280
Simplify:
1/8
Answer:
![A=600\: u^{2}](https://tex.z-dn.net/?f=A%3D600%5C%3A%20u%5E%7B2%7D)
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
![tan(\alpha)=\frac{24}{32}](https://tex.z-dn.net/?f=tan%28%5Calpha%29%3D%5Cfrac%7B24%7D%7B32%7D)
![\alpha=tan^{-1}(\frac{24}{32})](https://tex.z-dn.net/?f=%5Calpha%3Dtan%5E%7B-1%7D%28%5Cfrac%7B24%7D%7B32%7D%29)
![\alpha=36.9^{\circ}](https://tex.z-dn.net/?f=%5Calpha%3D36.9%5E%7B%5Ccirc%7D)
Now, if α = 37° then β (angle JLK) must be:
![37^{\circ} + \beta + 90^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=37%5E%7B%5Ccirc%7D%20%2B%20%5Cbeta%20%2B%2090%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\beta=53^{\circ}](https://tex.z-dn.net/?f=%5Cbeta%3D53%5E%7B%5Ccirc%7D)
Now, we can find the distance ML using again the tangent definition:
![tan(\beta)=\frac{24}{ML}](https://tex.z-dn.net/?f=tan%28%5Cbeta%29%3D%5Cfrac%7B24%7D%7BML%7D)
![ML=\frac{24}{tan(53)}](https://tex.z-dn.net/?f=ML%3D%5Cfrac%7B24%7D%7Btan%2853%29%7D)
![ML=18](https://tex.z-dn.net/?f=ML%3D18)
The base of the triangle LKJ will be:
![b=32+ML=32+18=50](https://tex.z-dn.net/?f=b%3D32%2BML%3D32%2B18%3D50)
Therefore, using equation (1) the area of △LKJ will be:
![A=\frac{50*24}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B50%2A24%7D%7B2%7D)
![A=600\: u^{2}](https://tex.z-dn.net/?f=A%3D600%5C%3A%20u%5E%7B2%7D)
The correct answer is c.
I hope it helps you!