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
Likurg_2 [28]
3 years ago
13

Find the value of x.

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

74 degrees

Step-by-step explanation:

The arc degree measurement of the arc that is colored in orange is given as 254 degrees.

The remaining part is the part in green.

The green part plus the orange part should equal 360 degrees because that would make a full rotation around the circle.

360-254=106.

The green arc has measurement 106 degrees.

We can find x by computing half the difference of the arcs there.

That is,

x=\frac{1}{2}(254-106)

x=\frac{1}{2}(148)

x=74

shutvik [7]3 years ago
6 0

Answer:

  74°

Step-by-step explanation:

There are at least a couple of ways to get there.

1) Find the central angle between the radii to the points of tangency. It will be ...

  360° - 254° = 106°

The measure of x is the supplement of this:

  x = 180° -106° = 74°

__

2) Find half the difference of the subtended arcs. The arc shown is 254°; the one not shown is 360° -254° = 106°. Half the difference of these is ...

  (254°-106°)/2 = 148°/2 = 74°

__

3) Perhaps more simply, we can find this measure symbolically. Let y represent the large arc shown as 254°. Then the smaller one is 360°-y and their difference is ...

   difference = y - (360° -y) = 2y -360°

Half this value, the value of angle x is ...

  (2y -360°)/2 = y -180°

For y=254°, this is ...

  x = 254° -180° = 74°

You might be interested in
Which equation could be used to find the height of the flagpole
Sauron [17]
X = height of pole (in meters)

With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters. 

The trig function sine ties together the opposite and hypotenuse

sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)

------------------

Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle

So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.

cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)

This expression is listed. The answer is choice B

4 0
3 years ago
Find the coordinates of the missing endpoint if M is the midpoint of DF <br> F(2,9) M(-1,6)
Hunter-Best [27]

Answer:

(-4,3)

Step-by-step explanation:

6 0
3 years ago
Please help thx so much ​
Mashcka [7]

Answer:

3.140

Step-by-step explanation:

hope this helped

5 0
2 years ago
Read 2 more answers
Susan walks for 10 hours each week. Find the number of hours she walks in 1, 2, and 4 week(s).
natita [175]
She walks 70 hours in total 10 20 and 40
7 0
3 years ago
If Juan earns $7 per hour plus $20 per week making picture frames.
kaheart [24]
Not enough information
5 0
3 years ago
Other questions:
  • At the nursery, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are ther
    9·1 answer
  • 7 yd 2 feet = blank ft
    10·2 answers
  • What represents the set of possible rational roots for the polynomial x^3+5x^2-8x-20=0
    14·1 answer
  • A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.
    14·1 answer
  • Paige had $20 to spend on 6 pieces of candy. After buying the candy, she has $6.50 left. How much was each piece of candy?​
    13·1 answer
  • The revenue from selling x tickets is r(x) = 10x. The cost for buying x tickets is c(x) = 8x + 40. The profit from selling x tic
    15·2 answers
  • What is the square root of 10x times square root of 2x
    12·2 answers
  • A random some of 25 of the 400 ber of the Betharcoanys days
    6·1 answer
  • PLEASE HELP!!! QUESTION IS THE PICTURE!!!​
    12·2 answers
  • Please help me with this question!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!