MATH SOLVE

2 months ago

Q:
# HURRY!!!When are two triangles said to be in perspective?a.If the corresponding vertices of two triangles form three lines that intersect in a single pointc.If the corresponding vertices of four triangles form three lines that intersect in a single pointb.If the corresponding vertices of three triangles form three lines that intersect in a single pointd.If the corresponding vertices of two triangles form three lines that intersect in two points.What is the next number in the following sequence.0, 1, 1, 2, 3, 5, 8...a.9c.10b.13d.11

Accepted Solution

A:

1. A

Two triangles are said to be in perspective (or as some would call it, homologous) from a point if their corresponding vertices form three lines that intersect in that single point (called a colinear point). Desargues' theorem asserts that if two triangles are in perspective from a point, then they are also perspective from a line (called the perspectrix); for this reason perspective triangles are also calles coplanar triangles.

2. B (13)

The series of numbers shown in the question is known as the Fibonacci Sequence. The next number in the sequence is found by finding the sum of the two numbers that precede it.

1 = 0+1

2 = 1 + 1

3 = 1 + 2

5 = 3 + 2

8 = 5 + 3

Next number is 13 (8 + 5)

Two triangles are said to be in perspective (or as some would call it, homologous) from a point if their corresponding vertices form three lines that intersect in that single point (called a colinear point). Desargues' theorem asserts that if two triangles are in perspective from a point, then they are also perspective from a line (called the perspectrix); for this reason perspective triangles are also calles coplanar triangles.

2. B (13)

The series of numbers shown in the question is known as the Fibonacci Sequence. The next number in the sequence is found by finding the sum of the two numbers that precede it.

1 = 0+1

2 = 1 + 1

3 = 1 + 2

5 = 3 + 2

8 = 5 + 3

Next number is 13 (8 + 5)