Answer:
interest = $108
Step-by-step explanation:
interest = p * r * t
interest = 600*0.06*3
<u>interest = $108</u>
Answer:
Step-by-step explanation:
hello :
hello :
1) divid by 3 : 27:9= 9/3
2) 9/3 = 3/1
Answer:
x = 6
y = 24
z = there is no z?
Step-by-step explanation:
All angles of a polygon add up to 360 degrees
The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side
3y + 18 = 90
3y = 72
y = 24
15x + 30 + 10x = 180
25x = 150
x = 6
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get
![\frac{BD}{AD}=\frac{DC}{BD}](https://tex.z-dn.net/?f=%5Cfrac%7BBD%7D%7BAD%7D%3D%5Cfrac%7BDC%7D%7BBD%7D)
⇒![(BD)^{2}=DC{\times}AD](https://tex.z-dn.net/?f=%28BD%29%5E%7B2%7D%3DDC%7B%5Ctimes%7DAD)
⇒![(BD)^2=9{\times}16](https://tex.z-dn.net/?f=%28BD%29%5E2%3D9%7B%5Ctimes%7D16)
⇒![BD=\sqrt{144}](https://tex.z-dn.net/?f=BD%3D%5Csqrt%7B144%7D)
⇒![BD=12 cm](https://tex.z-dn.net/?f=BD%3D12%20cm)
Thus, the length of altitude is: 12 cm.
Now, ![\frac{AB}{AD}=\frac{AC}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BAD%7D%3D%5Cfrac%7BAC%7D%7BAB%7D)
⇒![(AB)^{2}=220](https://tex.z-dn.net/?f=%28AB%29%5E%7B2%7D%3D220)
⇒![AB= 14.83 cm](https://tex.z-dn.net/?f=AB%3D%2014.83%20cm)
Also, ![\frac{BC}{DC}\frac{AC}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BDC%7D%5Cfrac%7BAC%7D%7BBC%7D)
⇒![(BC)^{2}=400](https://tex.z-dn.net/?f=%28BC%29%5E%7B2%7D%3D400)
⇒![BC=20 cm](https://tex.z-dn.net/?f=BC%3D20%20cm)
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
![5+2(x-1)=12 \\ \\ 2 ( x - 1) = 12 - 5 \ / \ subtract \ 5 \ from \ each \ side \\ \\ 2(x - 1) = 7 \ / \ simplify \\ \\ x - 1 = \frac{7}{2} \ / \ divide \ each \ side \ by \ 2 \\ \\ x = \frac{7}{2} + 1 \ / \ add \ 1 \ to \ each \ side \\ \\ x = \frac{9}{2} \ / \ simplify \\ \\](https://tex.z-dn.net/?f=5%2B2%28x-1%29%3D12%20%5C%5C%20%5C%5C%202%20%28%20x%20-%201%29%20%3D%2012%20-%205%20%5C%20%2F%20%5C%20subtract%20%5C%205%20%5C%20from%20%5C%20each%20%5C%20side%20%5C%5C%20%5C%5C%202%28x%20-%201%29%20%3D%207%20%5C%20%2F%20%5C%20simplify%20%5C%5C%20%5C%5C%20x%20-%201%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20%5C%20%2F%20%5C%20divide%20%5C%20each%20%5C%20side%20%5C%20by%20%5C%202%20%5C%5C%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20%20%2B%201%20%5C%20%2F%20%5C%20add%20%5C%201%20%5C%20to%20%5C%20each%20%5C%20side%20%5C%5C%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20%5C%20%2F%20%5C%20simplify%20%5C%5C%20%5C%5C%20)
So, the answer to this problem is
x = 9/2 or
x = 4.5.