Answer:
You can distribute the 5 into the parentheses, or u can divide on both sides to get rid of the 5. Either way, you're going to get the same answer.
Answer:
4°
Step-by-step explanation:
All the angles in a triangle add together to equal 180°. We know there are three angles of 20° so let's subtract this.
20° × 3 = 60°
180° - 60° = 120°
Now well divide 120° up among the three angles.
120° ÷ 3 = 40°
Now we know the angles are 40° + 20°, but we need to find the value of x, so divide 40° by 10
40° ÷ 10 = 4°
x = 4°
Answer:
84 square units.
Step-by-step explanation:
If LM - KN = 4, then denote KN = x and LM = x+4.
1. Consider right triangle KLM. By the Pythagorean theorem,
![KL^2 =ML^2+MK^2,\\ \\15^2=(x+4)^2+MK^2.](https://tex.z-dn.net/?f=KL%5E2%20%3DML%5E2%2BMK%5E2%2C%5C%5C%20%5C%5C15%5E2%3D%28x%2B4%29%5E2%2BMK%5E2.)
2. Consider right triangle KMN. By the Pythagorean theorem,
![MN^2 =NK^2+MK^2,\\ \\13^2=x^2+MK^2.](https://tex.z-dn.net/?f=MN%5E2%20%3DNK%5E2%2BMK%5E2%2C%5C%5C%20%5C%5C13%5E2%3Dx%5E2%2BMK%5E2.)
Subtract these two equations:
![15^2-13^2=(x+4)^2-x^2,\\ \\225-169=x^2+8x+16-x^2,\\ \\56=8x+16,\\ \\8x=56-16,\\ \\8x=40,\\ \\x=5\ un.](https://tex.z-dn.net/?f=15%5E2-13%5E2%3D%28x%2B4%29%5E2-x%5E2%2C%5C%5C%20%5C%5C225-169%3Dx%5E2%2B8x%2B16-x%5E2%2C%5C%5C%20%5C%5C56%3D8x%2B16%2C%5C%5C%20%5C%5C8x%3D56-16%2C%5C%5C%20%5C%5C8x%3D40%2C%5C%5C%20%5C%5Cx%3D5%5C%20un.)
Then
![13^2=5^2+MK^2,\\ \\MK^2=169-25,\\ \\MK^2=144,\\ \\MK=12\ un.](https://tex.z-dn.net/?f=13%5E2%3D5%5E2%2BMK%5E2%2C%5C%5C%20%5C%5CMK%5E2%3D169-25%2C%5C%5C%20%5C%5CMK%5E2%3D144%2C%5C%5C%20%5C%5CMK%3D12%5C%20un.)
The area of KLMN is
![A_{KLMN}=\dfrac{LM+KN}{2}\cdot MK=\dfrac{5+9}{2}\cdot 12=14\cdot 6=84\ un^2.](https://tex.z-dn.net/?f=A_%7BKLMN%7D%3D%5Cdfrac%7BLM%2BKN%7D%7B2%7D%5Ccdot%20MK%3D%5Cdfrac%7B5%2B9%7D%7B2%7D%5Ccdot%2012%3D14%5Ccdot%206%3D84%5C%20un%5E2.)
range= biggest number - smallest number
![range = 15 - 7 = 8](https://tex.z-dn.net/?f=range%20%3D%2015%20-%207%20%3D%208)
Answer:
1.80
Step-by-step explanation:
trust me 100% sure