MATHEMATICS HIGH SCHOOL

In the diagram below, AE = 4, EB = 3, and DE = 2. Find CE.
In the diagram below, AE = 4, EB = 3, - 1

Answers

Answer 1
Answer:

Answer: Value of CE = 6.

Explanation:

Since we have given that

AE=4

BE=3

DE=2

Let CE be x.

As we know that

When two chords intersect each other inside a circle, the products of their segments are equal.

Here, we can see that each chord is cut into two segments at the point of where they intersect.

So,

EA.EB=EC.ED\n\n4* 3=x* 2\n\n12=2x\n\n(12)/(2)=x\n\n6=x

Hence, value of CE = 6.

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Samuel earns $5 per hour plus 65% commission on all his sales. If y representshis sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y

Answers

Answer:

5(6)+0.65y

Step-by-step explanation:

$5(6hrs)+65÷100=0.65

5(6)+0.65y

Answer:

B

Step-by-step explanation:

Which are correct statements regarding proofs? Check all that apply. In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications. A paragraph proof is a two-column proof in sentence form. A two-column proof lists only the given information and what is to be proven. A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Answers

Answer:

  1. In a paragraph proof, statements and their justifications are written in sentences in a logical order.
  2. A two-column proof consists of a list statements and the reasons the statements are true.
  3. A paragraph proof is a two-column proof in sentence form.
  4. A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Step-by-step explanation:

The correct statements regarding proofs are :

  1. In a paragraph proof, statements and their justifications are written in sentences in a logical order.
  2. A two-column proof consists of a list statements and the reasons the statements are true.
  3. A paragraph proof is a two-column proof in sentence form.
  4. A flowchart proof includes a logical series of statements in boxes with connecting arrows.

And these two sentences are wrong statements:

  1. A flowchart proof gives a visual representation of the sequence of steps without justifications.
  2. A two-column proof lists only the given information and what is to be proven

The correct statements regarding proofs are;

  • A paragraph proof is a kind of written argument in which claims and their supporting evidence are presented in a series of paragraphs.
  • Statements and their supporting evidence are listed in separate columns in a two-column proof. This is further explained below.
  • A paragraph proof is a two-column proof in sentence form.
  • A flowchart proof includes a logical series of statements in boxes with connecting arrows.

What is proof?

Generally, proofs are simply defined as A piece of proof that proves a claim or assertion to be true.

In conclusion, Proofs are based on communicable facts on a subject.

Read more about proofs

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The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answers

For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

What is inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The cost in dollars  C(x) = 10 + 0.20x.

The revenue in dollars, R(x) = 0.50x.

For revenue to outpace cost

R(x) > C(x)

0.50x > 10 + 0.20x

0.50x - 0.20x > 10

0.30x > 10

x > 10/0.30

x > 33.333

Hence, For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

Learn more about inequality here:

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For revenue to exceed cost: R(x) > C(x)
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333

Therefore the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost is 34.

Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent

Answers

Answer:

percent decrease

Step-by-step explanation:

I believe it is 75% sorry if I'm wrong

Answer:

83%

Step-by-step explanation:

original amount:3

final amount: 0.5

percent change= amount of change/original amount

amount of change = greater value-lesser value =3-0.5=2.5

percent change=2.5/3=0.83=83%

A pahokee yacht service charges its customers the same amount for each hour they rent a yacht, plus a monthly subscription fee.

Answers