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pentagon [3]
2 years ago
7

Please help! I will give you lots of points!!!

Mathematics
1 answer:
zheka24 [161]2 years ago
3 0

A <em>bisector</em> is a line that divides either a given line or an angle into <u>two</u> equal parts. The <em>answer </em>to the given question is in the <u>attachments</u> to this answer.

The process of <u>bisection</u> implies dividing a given angle or line into<em> two</em> equal parts. Thus a bisector should be constructed.

The <u>construction</u> required is as given below:

For figure 1:

  • With <em>center</em> S and any radius, draw an arc to<u> intersect</u> S and T.
  • Using the <u>end</u> of the arc on SR and a greater radius, draw two arcs.
  • Using the <em>end</em> of the arc on ST and the same radius, draw another arc to <em>intersect</em> the previous arc.
  • Join S to the point of <em>intersection</em> of the arcs by a straight line. Thus this line is the required <u>bisector</u> of <RST.

For figure 2:

  • With <em>center</em> u and any radius, draw an arc to <u>intersect</u> T and V.
  • Using the end of the arc on uT and a greater radius, draw two arcs.
  • Using the end of the arc on uV and the same radius, draw another arc to intersect the previous arc.
  • Join u to the point of<u> intersection </u>of the arcs by a straight line. Thus this line is the required<em> bisector</em> of <TuV.

For figure 3:

  • With center B and any radius, draw an arc to <em>intersect</em> A and C.
  • Using the end of the arc on AB and a greater radius, draw two arcs.
  • Using the end of the arc on BC and the same radius, draw another arc to<u> intersect</u> the previous arc.
  • Join B to the point of<em> intersection</em> of the arcs by a straight line. Thus this line is the required<u> bisector</u> of <ABC.

The required construction is as shown in the <u>attachments</u> to this answer.

For more clarifications on bisection of angles, visit: brainly.com/question/12028523

#SPJ1

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45%

<u><em>Explanation:</em></u>

According to the question, we can get:

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Step-by-step explanation:

2x^2-10x-26=x-5

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Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals
GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

A=P(1+rt)

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

A=2000(1+0.02(20))

Multiply and add:

A=2000(1+0.4)=2000(1.4)

Multiply. So, the total amount of money in Account A after 20 years is:

A=\$2800

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of 2800-2000=\$ 800

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

B=P(1+\frac{r}{n}})^{nt}

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

B=2000(1+\frac{0.02}{1})^{(1)(20)}

Simplify this to acquire:

B=2000(1.02)^{20}

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

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Since our principal was $2000, this means that we earned an interest of approximately  2971.89-2000=\$ 971.89.

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned 971.89-800=\$ 171.89 more than Account A.

And we're done!

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