The minimum degree of rotation by which this octagon can map onto itself is?

Answers

Answer 1

Answer:

Answer:

The answer is 45 degrees.

Step-by-step explanation:

The minimum degree of rotation by which this octagon can map onto itself is 45 degrees.

A full rotation is 360°. One eighth of a rotation is $360/8=45$ degrees, and each one eighth of a rotation will map a regular octagon onto itself.

Answer 2

Answer: octogon has 8 vertices
to map onto itself, it goes to another vertex
assuming that it is a regular octogon
center=360
each vertex=360/8=45 degrees

therfor it moves 45 degrees to get to next verte which is same

45 degrees

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If p is the smallest of four consecutive even integers what is their sum interms of p.

Answers

Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12

Replace the? with one of following symbols (<, >, =, or) 2+3? 4+1

Answers

It would be the = sign because 2+3 equals 5, and so does 4+1.

The answer is (=) the equal sign.

An isosceles triangle has base angles that each measure 48°. Which equation can be used to find x, the measure of the third angle of this isosceles triangle in degrees?

Answers

Answer:

Step-by-step explanation:

It would be 48+48+x=180, since 3 angles in any triangle will always measure 180, by definition of a triangle. I guess you could also do 2(48)+x=180, but the first equation just makes it more intuitive I guess. The reason why this works is because since 3 angles must equal 180, the missing angle, x, must be the value of 180-48-48, since that would be the remaining value needed to make a triangle

!50 POINTS! (1 SIMPLE GEOMETRY QUESTION)

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Answers

Answer:

x= 40.33

Step-by-step explanation:

In geometry, alternate exterior angles are a pair of angles that are on the outer side of two parallel lines but on opposite sides of the transversal. In other words, they are the angles that are not on the same line as the parallel lines.

The alternate exterior angles are always equal in measure. This is because when a transversal intersects two parallel lines, it creates two pairs of alternate exterior angles, and each pair of angles is supplementary to each other (meaning that their measures add up to 180 degrees).

In this case:

a° = b°

Since,, the alternate exterior angles are always equal in measure.

3x+17 = 138

subtracting 17 on both sides

3x + 17-17 = 138-17

3x = 121

dividing both sides by 3.

$(3x)/(3) = (121)/(3)$

$\sf x \approx 40.33$

The value of x is 40.33 which proves that r is parallel to s.

Answer:

c) 40.3

$\hrulefill$

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.

Therefore, if lines r and s are parallel, then a° = b°.

To find the value of x that proves line r is parallel to line s, solve a° = b° for x.

$\begin{aligned}a^(\circ)&=b^(\circ)\n\n3x+17&=138\n\n3x+17-17&=138-17\n\n3x&=121\n\n(3x)/(3)&=(121)/(3)\n\nx&=40.33333....\n\nx&=40.3\; \sf (nearest\;tenth)\end{aligned}$

Therefore, the value x that proves line r is parallel to line s is:

$\Large\boxed{x=40.3}$

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Answers

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