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
the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club
lakkis [162]

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

5 0
3 years ago
A 2-card hand is drawn from a standard deck of 52 cards. find the probability that the hand contains the given cards. two of the
ivann1987 [24]
This probability is the same as 1-(two different suited cards). Your first card can be any of the 52 cards. Your second card must be any of the 39 different suited remaining 51 cards. So the answer is 1 - (52/52)(39-51). Note: I assumed there was no replacement.
5 0
3 years ago
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
How to write a decimal as a fraction?
love history [14]

Answer:

Step-by-step explanation:

Convert Decimals to Fractions

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

5 0
3 years ago
Write the expression in complete factored form. 3(a-7)-x(a-7) = (insert answer here)
Brrunno [24]

Answer:

(a - 7)(3 - x)

Step-by-step explanation:

Given

3(a - 7) - x(a - 7) ← factor out (a - 7) from both terms

= (a - 7)(3 - x)

6 0
3 years ago
Other questions:
  • Is 1/4 of 12 greater than 1/4 of 8
    11·2 answers
  • The distance between R and S on the coordinate grid is ___ units. (Input whole numbers only.)
    15·1 answer
  • Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
    7·1 answer
  • How do you write equations for three lines that contain the point (0, 2)?
    14·1 answer
  • There are 8 math classes in 7th grade.
    5·1 answer
  • If I had 15 apples 18 oranges and 21 mangoes how many would go in each bag​
    14·1 answer
  • I need help pls❗❗❗Its complicated ​
    14·1 answer
  • On a coordinate gride what is the distance between (1,3) and (6,15)
    11·2 answers
  • Order the values from least (on top) to greatest (on bottom). <br> 43%<br> 3/7 <br> 0.41
    13·1 answer
  • Bob has $10350 in his defined contribution plan at work. Of that balance $7573.25 comes from his own contributions and $2776.75
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!