Hello: here is a solution
Answer:
The length of DE is 14 cm.
Step-by-step explanation:
Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.
Given lengths are AC=20cm, AB=17cm, and BD=11.9cm
In ΔBDE and ΔBAC
∠BDE=∠BAC (∵Corresponding angles)
∠BED=∠BCA (∵Corresponding angles)
By AA similarity rule, ΔBDE~ΔBAC
∴their corresponding sides are in proportion
⇒ ![\frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BBC%7D%3D%5Cfrac%7BBD%7D%7BBA%7D%3D%5Cfrac%7BDE%7D%7BAC%7D)
⇒ ![\frac{BD}{BA}=\frac{DE}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBD%7D%7BBA%7D%3D%5Cfrac%7BDE%7D%7BAC%7D)
⇒ ![\frac{11.9}{17}=\frac{DE}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B11.9%7D%7B17%7D%3D%5Cfrac%7BDE%7D%7B20%7D)
⇒ ![DE=\frac{20\times 11.9}{17}=14cm](https://tex.z-dn.net/?f=DE%3D%5Cfrac%7B20%5Ctimes%2011.9%7D%7B17%7D%3D14cm)
Answer:
y intercept is one and slope is one
Step-by-step explanation:
Change 2/4 to 1/2
<span><span>2x+<span>1/2</span>=189.5</span></span>
Subtract <span>1/2</span> from both sides(1/2 = .5)
2x=189
Divide both sides by <span>2</span>
2x/2 = x
189/2= 94.5
x=94.5
Answer:25
Step-by-step explanation: