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
Artist 52 [7]
3 years ago
8

Erin says the first step is to set Latex: 2x+7 2 x + 7 equal to Latex: 5x-2\textsf{.} Antonio says the first step is to set Late

x: 2x+7 2 x + 7 plus Latex: 5x-2 5 x − 2 equal to Latex: 180\textsf{.} Choose either Erin's or Antonio's statement and explain why it is correct or incorrect. If the statement is correct, explain how you know it's correct. If the statement is incorrect, explain why it's wrong. If you were to solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for Latex: m\angle A\textsf{.}

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

*see attachment for the diagram

Answer/Step-by-step explanation:

1. Antonio's statement is correct because the sum of measure of the minor intercepted arc DE and the angle formed by tangents CE and CD outside the circle equal 180°.

According to the theorem. Therefore, the statement 2x + 7 + 5x - 2 = 180 is correct.

2. To find the measure of <A, which is a central angle of the circle, find the value of x. Then find the measure of the intercepted arc.

According to the central angle theorem, the measure of a central angle equal the intercepted minor arc.

Therefore, the measure of the intercepted minor arc DE = m<A.

Step 1: find the value of x using the equation gotten in question 1.

2x + 7 + 5x - 2 = 180

Combine like terms

7x + 5 = 180

7x + 5 - 5 = 180 - 5

7x = 175

\frac{7x}{7} = \frac{175}{7}

x = 25

Step 2: find the measure of the minor intercepted arc DE, by substituting x = 25 into 5x - 2.

measure of arc DE = 5x - 2

= 5(25) - 2 = 125 - 2

measure of arc DE = 123°

Step 3: find the measure of centra angle A.

m<A = intercepted arc DE (central angle theorem)

m<A = 123°

You might be interested in
johnny bought 5 movie tickets and spent $44. Of the tickets he bought, 3/5 were children's tickets that cost $8 each. The other
Juliette [100K]

Answer:

Adult tickets cost 10$

Step-by-step explanation:

You would have to multiple the cost of child ticket by the number purchased, subtract that number from the total amount spent, and then divide it by 2 to get the cost of an adult ticket.

8 0
3 years ago
There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses
nevsk [136]

Answer:

Total cost= $760

Step-by-step explanation:

Giving the following information:

Number of students= 347

Each bus holds 44 students.

Bus cost= $95

<u>First, we need to determine the number of buses needed:</u>

Number of buses= total students / student per bus

Number of buses= 347 / 44

Number of buses= 7.88 = 8 buses

<u>Now, the total cost:</u>

Total cost= 8*95

Total cost= $760

6 0
3 years ago
A rate is a ratio that compares
Ulleksa [173]
A rate is a ration that compares two quantities that have different units of measure. If the second term in rate is 1, the ratio is called a unit rate.
6 0
3 years ago
A fishing rod and reel cost a total of $110. The reel cost $100 more than the rod. What is the final cost of
KIM [24]

Answer:

Hi there!

Your answer is:

The rod is equal to $5

The reel is equal to $105

Step-by-step explanation:

Rod= R

Reel= E

Rod = R

E= 100+r

(100+R)+R= 110

100+ 2R= 110

-100

2R = 10

/2

R= 5

E= 100+5

The rod is equal to $5

The reel is equal to $105

3 0
3 years ago
Jarron has a piece of chalk tied to the end of a
solniwko [45]

Answer: A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.

How should this string be cut so that the sum of the areas is a minimum .

:  

Let x = the circumference of the circle

then

(24-x) = the perimeter of the square

:

Find the area of the circle

find r

2*pi*r = x

r =  

Find the area of the circle

A =  

A =  

A =  sq/cm, the area of the circle

:

Find the area of the square

A =  sq/cm the area of the square

The total area

At =  +  

Graph this equation, find the min

Min occurs when x=10.6 cm

cut string 10.6 cm from one end

Step-by-step explanation: Hope I help out alot (-: :-)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Answer right then you get brainliest
    9·1 answer
  • Ugh help plz I don’t get this
    8·1 answer
  • A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at an ave
    12·2 answers
  • How many planets are there
    11·2 answers
  • Alissa would like to make a deposit into her savings account. She filled out a deposit ticket and handed it to the teller at her
    9·2 answers
  • In Ellen’s sixth grade class there are 14 boys and 11 girls write each ratio using numbers in two ways
    5·1 answer
  • Write an inequality for the given statement: 4 times the sum of a number and 3 is at least 28.
    11·1 answer
  • Taylor pays $5.25 for 0.5 yards of fabric. What is the cost per yard?
    11·2 answers
  • A researcher suspects that people who are abused as children tend to be more prone to severe depression as young adults. She pre
    10·1 answer
  • If line segment AB represents 25%, what is the length of a line segment that is only 100%? (PART 1)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!