The range is our Y-values and the domain is our x-values
Our Y's are 2, 2, 3, 4...doing both 2's are redundant, so we write it as {2, 3, 4}
Answer:
A = 55
B = 60
Step-by-step explanation:
We know that 55+ b+ other angle = 180 since they make a straight line
The other angle = 65 since they are alternate interior angles
55+ B+ 65 = 180
Combine like terms
120 + B = 180
B = 60
A + B + 65 = 180 interior angles of a triangle must equal 180 degrees
A +60+ 65 =180
Combine like terms
A +125 = 180
A = 55
Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
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Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
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<em>Additional comment</em>
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
Answer: we might have come across different types of lines such as parallel lines, perpendicular lines, intersecting lines, and so on. Apart from that, we have another line called transversal.
This can be observed when a road crosses two or more roads or a railway line crosses several other lines. These give a basic idea of a transversal. Transversals play an important role in establishing whether two or more other lines in the Euclidean plane are parallel.
In this article, you will learn the definition of transversal line, angles made by the transversal with parallel and non-parallel lines with an example.
SOOO in English its LM is the transversal made by the parallel lines PQ and RS such that:
The pair of corresponding angles that are represented with the same letters are equal.
If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. Transversal property 2