1. 14 2. 9 3. 4.5 4. 18 5. 1/4
Thanks this came in handy bc I'm a beginner
Step-by-step explanation:
x = -12
y = x/2 + 9
y = -12/2 + 9
y = -6 + 9
y = 3
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
<em />
Answer:
l =10 units, 9.7 units, 5.5 units
Step-by-step explanation:
Area = length x breadth
Area of a square = l^2
100= l^2
√100 =√l^2
l=10 units
95=l^2
√95 = √l^2
l= 9.7 units
30=l^2
√30=√l^2
l= 5.5 units
