Answer:
Step-by-step explanation:
x=24
KLN=30
MNL=90
Answer:
x=3,-8
Step-by-step explanation:
![x^2+5x=24\\add ~both~sides~(\frac{5}{2})^2\\x^2+5x+(\frac{5}{2})^2=24+\frac {25}{4}\\(x+\frac{5}{2})^2=\frac{96+25}{4}\\(x+\frac{5}{2})^2=\frac{121}{4}\\x+\frac{5}{2}=\pm \frac{11}{2}\\x=-\frac{5}{2} \pm \frac{11}{2} \\either~x=-\frac{5}{2} +\frac{11}{2} =\frac{6}{2} =3\\or~x=-\frac{5}{2} -\frac{11}{2} =-\frac{16}{2} =-8](https://tex.z-dn.net/?f=x%5E2%2B5x%3D24%5C%5Cadd%20~both~sides~%28%5Cfrac%7B5%7D%7B2%7D%29%5E2%5C%5Cx%5E2%2B5x%2B%28%5Cfrac%7B5%7D%7B2%7D%29%5E2%3D24%2B%5Cfrac%20%7B25%7D%7B4%7D%5C%5C%28x%2B%5Cfrac%7B5%7D%7B2%7D%29%5E2%3D%5Cfrac%7B96%2B25%7D%7B4%7D%5C%5C%28x%2B%5Cfrac%7B5%7D%7B2%7D%29%5E2%3D%5Cfrac%7B121%7D%7B4%7D%5C%5Cx%2B%5Cfrac%7B5%7D%7B2%7D%3D%5Cpm%20%5Cfrac%7B11%7D%7B2%7D%5C%5Cx%3D-%5Cfrac%7B5%7D%7B2%7D%20%5Cpm%20%5Cfrac%7B11%7D%7B2%7D%20%5C%5Ceither~x%3D-%5Cfrac%7B5%7D%7B2%7D%20%2B%5Cfrac%7B11%7D%7B2%7D%20%3D%5Cfrac%7B6%7D%7B2%7D%20%3D3%5C%5Cor~x%3D-%5Cfrac%7B5%7D%7B2%7D%20-%5Cfrac%7B11%7D%7B2%7D%20%3D-%5Cfrac%7B16%7D%7B2%7D%20%3D-8)
Answer:
0
Step-by-step explanation:
Answer:
Answered March 20, 2021
This is a right angle triangle where the hypotenuse a^2 = b^2 + c^2
= 15^2 + 8^2 = 225+64= 289
289= 17^2
17 = hypotenuse
The sine of an angle is the ratio of the shortest side to the hypotenuse
= 8/17= 0.4705
sine^-1 0.4705 = 28°