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
Aleonysh [2.5K]
3 years ago
10

Work out the size of angle x Next to 164 and 90

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

  1. so do what's in the perenthesis first so 164+90=254
  2. Then you want to subtract 254 from 360 so 360-254=106

x=106 degrees

You might be interested in
1. Create a circle. Show and explain the difference between the following:
liberstina [14]
1. 
a.
A secant line is a line which intersects the circle at 2 different points. 

A tangent line is a line which has only one point in common with the circle.

Check picture 1: The orange line s is a secant line, the blue line t is a tangent line.


b.
An inscribed angle is an angle formed by using 3 points of a circle. 

The main property of an inscribed angle is that its measure is half of the measure of the arc it intercepts.

Check picture 2: If  m(\angle KML)=\beta, then the measure of arc KL is 2 \beta.

A central angle is an angle whose vertex is the center of the circle, and the 2 endpoints of the rays are points of the circle.

The main property is: the measure of the central angle is equal to the measure of the arc it intercepts. 

Check picture 2

2.
To construct the inscribed circle of a triangle, we first draw the 3 interior angle bisectors of the triangle.
They meet at a common point called the incenter, which is the center of the inscribed circle.
We open the compass, from the incenter, so that it touches one of the sides at only one point. We then draw the circle. (picture 3)

To draw the circumscribed circle, we first find the midpoints of each side. We then draw perpendicular segments through these (the midpoints.) They meet  at one common point, which is the circumcenter: the center of the circumscribed circle.
We open the compass from the circumcenter to one of the vertices of the triangle. We draw the circle, and see that it circumscribes the triangle.

(picture 4)

3.

Given an equation of a circle: x^2-2x+y^2+6y+6=0.

To determine the center and the radius of the equation we must write the above equation in the form :

                              (x-a)^2+(y-b)^2=r^2.

Then, (a, b) is the center, and r is the radius of this circle. We do this process by completing the square.

Note that x^2-2x becomes a perfect square by adding 1, and 
y^2+6y becomes a perfect square by adding 9. 

Thus we have:

x^2-2x+y^2+6y+6=0\\\\(x^2-2x+1)+(y^2+6y+9)-4=0\\\\(x-1)^2+(y+3)^2=2^2

Thus, the center is (1, -3), and the radius is 2.

4. Not complete


5.

The radius of the pizza is \displaystyle{ \frac{131}{2}ft=65.5ft.

The surface of a circle with radius r is given by the formula \displaystyle{  A=\pi r^2,
and the circumference is given by the formula C=2πr.

Thus, the area of the whole pizza is given by \displaystyle{  A=\pi r^2= \pi\cdot65.5^2=4290.25 \pi (square ft).

Each of the 50 slices, has an area of \displaystyle{ \frac{4290.25 \pi}{50} =85.805 \pi (square ft)

Notice that the perimeter (the crust) of a slice is made of 2 radii, and the arc-like part.
The arc is 1/50 of the circumference, so it is \displaystyle{\frac{2 \pi r}{50} = \frac{2\cdot65.5\cdot \pi }{50}= 2.62 \pi.

So the perimeter of one slice is 65.5+65.5+2.62π=131+2.62π

7 0
3 years ago
The what of a figure is a measurement of the space inside it
Elena-2011 [213]

Answer: It would be area, because it involves multiplying length by width, therefore covering the inside

Step-by-step explanation:

3 0
3 years ago
The table shows ticket prices for the local minor
Zanzabum

Answer:

2x club member ticket = 1x non-club member ticket

6 0
3 years ago
Read 2 more answers
Solve the system
Alexxandr [17]

Answer:

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

Jacobian value = 1/7

Step-by-step explanation:

Given data:

u = 2x -y

v = 3x + 2y

solving the system for  x and  y in terms of u and v

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

The value of the Jacobian =  1/7 ( solution attached below )

Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below

5 0
3 years ago
Find the circumference of the object. Use 3.14 or 22/7 for pi . Round to the nearest hundredth if necessary. 6in
torisob [31]

Answer:

37.7

Step-by-step explanation:

Circumference=

2\pi \times r

3 0
3 years ago
Other questions:
  • NEED HELP ASAP !!!!!!!
    8·2 answers
  • Is cube root of 250 rational or irrational? Use 2 strategies to justify your answer.
    15·1 answer
  • How to evaluate definite integral without the fundamental theorem of calculus?
    7·1 answer
  • Shelby wants to buy three ice creams and some candy for her friends. Shelby wants to spend exactly $16.50. If ice creams cost $3
    10·2 answers
  • What is -3 (8x)+6(4x) ;x=2
    12·2 answers
  • The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle
    7·1 answer
  • What is the value of x
    11·2 answers
  • What is the solution of the equation?<br> 4.7c + 3.8 = 13.2
    15·1 answer
  • There are 12800 films on Netflix. 9% of the films are horror. How many films are horror?
    14·2 answers
  • What does Csc²x equal to?<br><br> A- 1<br><br> B- 1 + sec²x<br><br> C- 1 / sin²x<br><br> D- 1-cos x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!