<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>
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Answer:
You can solve by the formula of area of trapezium. This is h(a+b)/2.
54 = 6(8+b)/2
Thus b = 10cm.
Answer:
0.13591
Step-by-step explanation:
What we do here is find a score of both values;
Mathematically;
z-score = (x - mean)/SD
for 825, we have (825-750)/75 = 1
For 900, we have (900-750)/75 = 150/75 = 2
So the probability we want to find is;
P(1<x<2) = P(x<2) - P(x<1)
We use the standard table for this and we arrive at;
P(1<x<2) = 0.13591
EF for sure u got to really pay attention to the inches
Answer:
Step-by-step explanation:
