Answer:
<B = 108 degrees
Step-by-step explanation:
<A = <B <u><em> (Alternate Angles are congruent)</em></u>
So,
6x+18 = x+93
=> 6x-x = 93-18
=> 5x = 75
<em>Dividing both sides by 5</em>
=> x = 15
Now,
<B = x+93
=> <B = 15+93
=> <B = 108 degrees
Answer:
Step-by-step explanation:
Don’t know if there’s much of an equation for it, but I guess the best way to write it out is 10 + x = -18. Then, you would subtract the 10 from both sides in order to isolate the x. So then you’re left with x = -28. So -28 is your answer.
9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
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<em>Additional comment</em>
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
2/5 X 100 = 200/5= 40 percent
