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
Leviafan [203]
2 years ago
15

Help! Central Angles and arc measures

Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

  x = 11

Step-by-step explanation:

The sum of arcs of a semicircle is 180°. That fact can be used with the given angle relations to find the value of x.

<h3>Setup</h3>

The measure of an arc is the same as the measure of the central angle it subtends.

  DC +CG +GF = 180

The angle bisector CH ensures that angles CHD and CHG are congruent. That means arcs CD and CG are congruent, and we have ...

  DC +DC +GF = 180 . . . . . . . . . use DC for CG

  2(7x -1) +(2x +6) = 180 . . . . . . . use the given expressions

<h3>Solution</h3>

This equation can be solved for x.

  16x +4 = 180 . . . . . . . . . . . . simplify

  16x = 176 . . . . . . . . . . . . subtract 4

  x = 11 . . . . . . . . . . . . . divide by 16

You might be interested in
(11-8)x3+7+27-3<br> (18÷3)+6+(14-8)x5<br> (11-7)x6+4+32-4
horsena [70]

The results of the arithmetic evaluations as given in the task content are; 40,42 and 62.

<h3>What are the results of the arithmetic evaluations?</h3>

The arithmetic operations above can be evaluated and simplified as follows;

(11-8)x3+7+27-3 = (3×3)+7+27-3 = 40.

(18÷3)+6+(14-8)x5 = (6)+6+(6)x5 = 42.

(11-7)x6+4+32-4 = (5×6) +4 +32-4 = 62.

Read more on arithmetic evaluations;

brainly.com/question/4694189

#SPJ1

8 0
2 years ago
In a science test, Jamie solved 42 correct and 18 incorrect answers. What is the percentage of correct question?
uysha [10]
It would have to be B
4 0
3 years ago
Read 2 more answers
During a recent snowstorm, Boston got 2.8
ipn [44]

New York got 4.64 times more snow than Boston did.

If Boston got 2.8 feet of snow and New York City got 13 feet, the amount of feet that New York got more than Boston is:

= Amount of snow New York got / Amount of snow Boston got

= 13 / 2.8

= 4.64 more than Boston

New York therefore got about 4.64 more snow than Boston did

<em>Find out more at brainly.com/question/24074411. </em>

6 0
3 years ago
Help please (inequalities)
zaharov [31]

Answer:

The First one is the answer

4 0
3 years ago
Read 2 more answers
The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei
Shtirlitz [24]

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

4 0
2 years ago
Other questions:
  • Extra questions for chapter 13 and 14 maths ch-13- surface area and volume and ch-14- statistics
    9·1 answer
  • Emma opened a surf shop in Beaufort, North Carolina. She modeled her yearly profit, P, in dollars, for x years on the graph belo
    5·1 answer
  • Jonathan and Emma bought 12 ples and spent $20 on plates and silverware. They spent a total of $80. Write an equation to
    15·1 answer
  • Write the equation of a line, in slope intercept form, that has a slope of 3 and passes through the point (1, -1).
    8·1 answer
  • I am in 4th grade and I don't get this. 6*33=???
    8·2 answers
  • X=5,then x*2=5*2<br> what is the property
    10·1 answer
  • If one die is rolled then find the probability of event that the number on the
    13·2 answers
  • I NEED HELP ASAP!!!!!!!! Jason needs to buy a new sweater. The ticket price of the sweater was $89.00. After sales tax was inclu
    9·1 answer
  • A line has this equation: -10x + y = -5
    8·1 answer
  • find the mean the median the mode range and standard invitation of each data set that is obtained after adding the given content
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!