Remember:
a) (x,y) => (x, -y) is a reflection across X axis
b) (x,y) => (-x,y) is a reflection across Y axis
Here △RST is mapped to △R′S′T′ using the rule (x,y)→(x,−y)
Hence it is a reflection across X axis.
The size of the triangle does not alter.
But when this is followed by (x,y)→(3x,3y), the lengths increase by a factor 3.
Hence the triangles do not remain congruent.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Option A) is the right answer
Answer:
5x-3
Step-by-step explanation:
(3x + 5) + (2x - 8)
3x+5+2x-8
Bringing the like terms together,
3x+2x+5-8
5x-3
Answer:
509in²
Step-by-step explanation:
Formula for calculating the area of a regular hexagon is given as:
A=(3√3a²)/2
'a' is one of the sides of the hexagon
Given a = 14in
Area = 3√3/2 × 14²
Area = 3√3/2 × 196
Area = 3√3 × 98
Area = 509.22in²
Area of the regular hexagon is approximately 509in²
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Answer:
Step-by-step explanation:
To work out x is easy as they are corresponding angles x will also equal 50
however to work out y you just need to minus 180 and 50 to give 130