Straight line adds up to 180
Triangle adds to 180
180-150=30
103+30=133
180-133=47
X=47°
To remove √3 from denominator, we multiply both numerator as well as denominator with √3
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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.
2x^3y+18xy-10x^2y-90y
= 2xy(x^2 + 9)- 10y(x^2 + 9)
= (x^2 + 9)(2xy - 10y)
= (x^2 + 9) 2y(x - 5)
= 2y (x^2 + 9) (x - 5)
Answer:
The height of the triangle is 
cm.
Step-by-step explanation:
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The formula for solving the area of a triangle is 
where 
stands for base and 
stands for height.
Let's substitute 30 
for the area and 10 for the base.
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Now, let's solve to find the height.
Multiply 
times 
Divide both sides by 5.
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Hope this is helpful.
