1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ray Of Light [21]
3 years ago
10

1. Which angles are adjacent angles?

Mathematics
2 answers:
Alex777 [14]3 years ago
7 0

1. \boxed{\angle CBX{\text{ and }}\angle FBC} are adjacent angles.

2. The sum of the interior angles of a nonagon is \boxed{{{1260}^ \circ }}.

3. The measure of angle4 is \boxed{{{79}^ \circ }}.

4. The sum of the interior angles of a regular polygon is \boxed{{{1800}^ \circ }}.

5.the measure of the missing angle of a pentagon is \boxed{{{115}^ \circ }}.

Further Explanation:

The formula for the sum of angles of a polygon can be expressed as follows,

\boxed{{\text{Sum of angles}} = \left( {n - 2} \right) \times {{180}^ \circ }}

Explanation:

Part (1)

Adjacent angles are those angles that have common line and common vertex.

\angle CBX{\text{ and }}\angle FBC has the common vertex B and common line BC.

Therefore, \angle CBX{\text{ and }}\angle FBC are adjacent angles.

Part (2)

Nonagon has 9 sides.

The sum of all the interior angles can be obtained as follows,

\begin{aligned}{\text{Sum of angles}} &= \left( {9 - 2} \right) \times 180\\&= 7 \times 180\\&= 1260\\\end{aligned}

Part (3)

The measure of angle4 can be obtained as follows,

\begin{aligned}\angle 3 + \angle 4 &= {180^ \circ }\\{101^ \circ } + \angle 4 &= {180^ \circ }\\\angle 4 &= {180^ \circ } - {101^ \circ }\\\angle 4 &= {79^ \circ }\\\end{aligned}

Part (4)

The polygonhas 12 sides.

The sum of all the interior angles can be obtained as follows,

\begin{aligned}{\text{Sum of angles}} &= \left( {12 - 2} \right) \times 180\\&= 10 \times 180\\&= 1800\\\end{aligned}

Part (5)

The missing angle can be obtained as follows,

\begin{aligned}{85^ \circ } + {110^ \circ } + {135^ \circ } + {95^ \circ } + x &= {540^ \circ }\\{425^ \circ } + x &= {540^ \circ }\\x &= {540^ \circ } - {425^ \circ }\\x&= {115^ \circ }\\\end{aligned}

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Angles

Keywords: vertical angle, opposite angle, angles, alternate angles, linear pair, corresponding angles, adjacent angle, missing angle, n, 12 sides.

irga5000 [103]3 years ago
4 0

Answer:

1. Which angles are adjacent.

CBX and FBC

Step-by-step explanation:

Okay so an adjacent angle is two angles with a common side. This means angles CBX and FBC are adjacent because they have the common side of "BC/CB"

Answer

2. Find the sum of the interior angles of a nonagon

1,260

Step-by-step explanation:

A nonagon is a 9 sided polygon with angles of 140. It wants the sum of all the angles. Since it has 9 sides, it has 9 angles. Now you can add 140, 9 times, or do 140 x 9. This gets you 1,260.

Answer

3. The measure of angle 3 is 101. find the measure of angle 4.

79

Step-by-step explanation.

Okay so both angles are against the same intersecting line, this means their sum must be 180. All we have to do here is subtract 180 and 101. this gets us 79.

Answer

4. Find the measure of each interior angle of a regular polygon with 12 sides.

1800

Step-by-step explanation.

Okay so a 12 sided regular polygon is a dodecagon. This has 12 angles with the degree of 150. This means 150 x 12 just like the 2nd question about nonagons. So 150 x 12 is 1800

Now that i've showed you how to do the first 4 you can apply the rest of the information on your own for 5 and the rest of the test.

You might be interested in
Which of the lists is in order from smallest to largest? 1,330; 3,130; 3,310; 3,031 3,130; 3,031; 3,310; 1,330 1,330; 3,310; 3,0
lesantik [10]
Its the 4th because, 1,330 is the smallest then 3,031 is the second then, 3,130 is the third then fourth is 3,310
4 0
3 years ago
Read 2 more answers
Find x so the distance between ( x , 4 ) and ( 3 x + 1 , − 4 ) is 10
Sonja [21]

Answer:

3456

Step-by-step explanation:

3 0
3 years ago
Answer must be in fraction form. thanks
tatuchka [14]
23 and 1/4 or 93/4 explanation: 2.5 x 3 for 1 mile u get 7.5 then multiply by 3.1
7 0
2 years ago
ACTIVITY 1
aleksklad [387]

Answer:

Question A:

1. 1/2  = 0.5 (Terminating)

2. 5/6  = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6  = 3/5

2. 1.25  = 5/4 = 1 1/4

3. 0.125 = 1/8

Step-by-step explanation:

A. Write the fraction or mixed number as a terminating or repeating decimal.

In order to convert a fraction into decimal, the numerator has to be divided by denominator.

1. 1/2

The answer is: 0.5 which is a terminating decimal.

2. 5/6

The answer is: 0.833333.. which is a repeating decimal.

3. 2 1/3 (assuming the question is this)

2\frac{1}{3} = \frac{7}{6} = 1.6666666..

The answer is 1.6666666.. which is a repeating decimal.

B. Write the terminating decimal as fraction or mixed number i n simplest form.

1. 0.6

0.6 = \frac{6}{10} = \frac{3}{5}

2. 1.25

1.25 = \frac{125}{100} = \frac{5}{4} = 1\frac{1}{4}

3. 0.125

0.125 = \frac{125}{1000} = \frac{5}{40} = \frac{1}{8}

Hence,

Question A:

1. 1/2  = 0.5 (Terminating)

2. 5/6  = 0.833333.. (Repeating)

3. 21/3 = 1.6666666.. (Repeating)

Question B:

1. 0.6  = 3/5

2. 1.25  = 5/4 = 1 1/4

3. 0.125 = 1/8

7 0
3 years ago
Please help and thanks
Ilya [14]

Answer:

B 9/10

Step-by-step explanation:

1/5 is equivalent to 2/10.

then just add the numerators.

6 0
3 years ago
Other questions:
  • The interest that Paula earns on her investment is given by the equation l = 36t where t is the time in years that her money is
    10·1 answer
  • A gift box is 10 inches long and 6 inches wide it is 3 inches tall what is the volume of the box
    15·1 answer
  • A three course meal includes an appetizer, a main course and a dessert. A restaurant offers 2 kinds of appetizer, four kinds of
    11·1 answer
  • Which ratio is equivalent to 5:9?<br> 10:36<br> 10:27<br> 20:27<br> 20:36
    8·1 answer
  • Subtract 3m-4 from m-6
    7·2 answers
  • What is the mean <br> please answer as soon as possible to be marked brainliest
    13·1 answer
  • Find the standard deviation of the data set shown. Round your answer to the nearest tenth.
    9·2 answers
  • 100 points!!! Whoever answers this question correctly, I will give you 100 points on my second question. If you can't use the an
    14·2 answers
  • you buy a new mountain bike for $200. tha value of the bike decreases by 25% each year. how much is your bike worth after 3 year
    14·1 answer
  • Please solve for x.................
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!