On the number line below, P represents a number. What is the value of the opposite of that number?

Dominik [7]

Step-by-step answer:

This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.

To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.

This is:

sum of exterior angles of polygons = 360 degrees.

If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!

For a regular heptagon, c = 360/7=51.43 degrees approx.

This means that each vertex angle measures

vertex angle = 180-c

So since 2d+the vertex angle = 360, we have

2d+(180-c)=360

solve for d:

2d=360-(180-c)=180+c

d=(180+c)/2=90+c/2=115.71 degrees. (approx.)

8 0

3 years ago

Isaac walks 6/10 of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaac’s walking rate in miles pe

navik [9.2K]

Answer:

12

Step-by-step explanation:

u have to mutypl and div it up sum and k/=+56+8=90/h=+5689-097/p=11+y=1+11=12

4 0

3 years ago

Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern

ratelena [41]

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

6 0

3 years ago

A section of a roof is shaped like a triangle. The base of the triangle is 17 feet and the height is 9 feet. What is the area of

Oxana [17]

Answer:

Area of Triangle Section= 76.5

Step-by-step explanation:

Area of a triangle= A= $\frac{h*b}{2}$

A= $\frac{h*b}{2}$

A= $\frac{17*9}{2}$

A=76.5

3 0

3 years ago

Debbie needs to fill juice-cups for her little brother's birthday party. There are 20 juice-cups and each juice-cup holds 10 flu

Vinvika [58]

Number of juice cups mentioned in question = 20
Quantity of juice that each juice cup can hold = 10 fluid ounces
Quantity of fluid ounces that
20 juice cups require = 20 * 10 fluid ounces
= 200 fluid ounces.
Now
32 fluid ounces = 1 quart
Then
200 fluid ounces = 200/32 quart
= 6.25 quart
Again
4 quart = 1 gallon
So
6.25 quart = 6.25/4 gallon
= 1.56 gallon
So we see that 1.56 gallon of juice is required by Debbie. As the juice comes in 1 gallon bottles, Debbie needs to order 2 bottles of juice.

4 0

3 years ago

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