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almond37 [142]
3 years ago
12

Given line AB and point O on that line, any ray that can be drawn with its endpoint at O can be put into a one- to-one correspon

dence with the real numbers between 0 and 180 is a statement of the ______ Postulate.
Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

Protractor

Step-by-step explanation:

A POSTULATE, LAW OR THEORY SHOULD NEVER BE ALTERED

∴ The protractor postulate states that the measurement of an angle between two rays can be designated as a unique number, and this number would be between 0 and 180 degrees, Hence for every angle A, there corresponds a positive real number less than or equal to 180. This postulate guarantee the use of a protractor to measure angles.

Hence, Given line AB and point O on that line in such a way that any ray that can be drawn with its endpoint at O can be put into a one- to-one correspondence with the real numbers between 0 and 180 is a statement that explains Protractor's Postulate.

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you invest $25 per month at a rate of 3.25% APR compounded monthly for 30 years. What is total interest earned
Anika [276]

Answer:

800.50

Step-by-step explanation:

7 0
3 years ago
Three side lengths of a right triangle are given which side length should you substitute for the hypotenuse in Pythagorean theor
ankoles [38]

Answer:

The longest length which you are given.

Step-by-step explanation:

The hypotenuse is the longest side in a right angled triangle. The largest side in a right angled triangle is known as the hypotenuse.

8 0
3 years ago
Leila is considering buying her first home. The house she is interested in buying is priced at $125,000. Leila can put down a $2
PIT_PIT [208]

Answer:

* The monthly mortgage payment is $629.53 ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- Leila is considering buying her first home

- The house she is interested in buying is priced at $125,000

∴ She can put $20000 down  payment

* Lets find the balance to be paid off on mortgage

∴ The balance = 125000 - 20000 = 105000

- She qualifies for a 30-year mortgage at 6%

* Lets find the rule of the monthly payment

∵ pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{tn}]}{(1+\frac{r}{n})^{tn}-1} , where  

- pmt is the monthly mortgage payment

- P = the initial amount  

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 105000

∵ r = 6/100 = 0.06

∵ n = 12

∵ t = 30

∴ pmt=\frac{\frac{0.06}{12}[105000(1+\frac{0.06}{12})^{30(12)}}{(1+\frac{0.06}{12})^{30(12)}-1}

∴  pmt=\frac{0.005[105000(1.005)^{360}]}{(1.005)^{360}-1} =629.528

* The monthly mortgage payment is $629.53

3 0
3 years ago
Read 2 more answers
Angle C is inscribed in circle O.
Nitella [24]

Answer:

5units

Step-by-step explanation:

The triangle inscribed in the circle is a right angled triangle with angle C being 90°.

The diameter of the circle AB is the hypotenuse of the triangle.

Before we can get the radius, we need to get the diameter AB using Pythagoras theorem.

|AB|² = |AC|²+|BC|²

|AB|² = 6²+8²

|AB|² = 36+64

|AB|² = 100

|AB| = √100

|AB| = 10

Diameter of the circle = 10units

Radius = diameter/2 = |AB|/2

Radius = 10/2

Radius = 5units

8 0
4 years ago
Find the area of this parallelogram.<br> 7 cm<br> 9 cm<br> 12 cm
aleksley [76]

Answer:

Step-by-step explanation:

Multiply it all and use the formula

3 0
3 years ago
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