The sum of the interior angles in any quadrilateral is always 360 degrees.
The sum of the interior angles in a quadrilateral is always 360 degrees. This is a fundamental concept in geometry that applies to all quadrilaterals, regardless of their shape. To understand why this is the case, one can consider dividing a quadrilateral into two triangles. Since the sum of the angles in a triangle is always 180 degrees, adding the angles from both triangles within the quadrilateral gives us a total of 360 degrees. This rule is crucial when solving various geometrical problems involving quadrilaterals. For example, if a quadrilateral ABCD has an extended line CE creating two angles on a straight line, angles ACD and ACE would sum up to 180 degrees because angles on a straight line always sum up to 180 degrees.
It is also worth noting that if a quadrilateral has three right angles, the properties of the sides relative to the fourth angle can be determined based on whether that angle is right, acute, or obtuse. These principles are derived from the fundamental properties of angles in polygons and are used to deduce further geometric relationships.
Television Videl watched 6 times as many hours of television over the weekend as Dineen. Together they watched a total of 14 hours of television. How many hours of television did each person watch over the weekend
The number of hours of television that they both watched will be 2 hours and 12 hours respectively.
Let the number of hours used by Dineen be x.
Therefore, the number of hours that Videl watched will be 6 × x = 6x
Therefore, based on the information given, the number of hours of television watched will be:
6x + x = 14.
7x = 14.
x = 14/7 = 2 hours.
Therefore, 6x = 6 × 2 = 12 hours
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(7/8+1/12)- 1/2=
please help me with this
Ellen walks dogs on weekends she gets paid $ 8.50 per hour each day she works 5 hours and 45 minutes does she earn more or less than $85 in one weekend? how much more or less explain.
Answer:
Ellen earns $159.375 more than $85.
Step-by-step explanation:
We have been given that Ellen walks dogs on weekends she gets paid $ 8.50 per hour. Each day she works 5 hours and 45 minutes.
[tex]\text{45 minutes}=\frac{45}{60}\text{ hour}[/tex]
[tex]\text{45 minutes}=0.75\text{ hour}[/tex]
We know that each week has 5 working days.
[tex]\text{Hours worked each week}=5\times 5.75\text{ hours}[/tex]
[tex]\text{Hours worked each week}=28.75\text{ hours}[/tex]
[tex]\text{Earnings each week}=\$8.50\times 28.75[/tex]
[tex]\text{Earnings each week}=\$244.375[/tex]
Since $244.375 is greater than $85, therefore, Ellen earns $159.375 more than $85.
True or False: 5a + 6b = 11ab? Can you think of a way you can prove it using a and b?
Which formula is used to find the volume of a pyramid? A) Area of its base · height. B) 1 2 (Area of its base · height) C) 1 3 (Area of its base · height) D) 3·(Area of its base · height)
What is 9/4 divided by 3/4 and make a model to support it
Sara purchase a skirt for $15.99 and two shirts for $12.50 each. The sales tax in her town is 7.5%. What was the total cost of Sara's purchase in dollars including sales tax? Round to the nearest penny.
a crystal that is 0.12 millimeters long appears to be 60 millimeters long under a microscope what is the power of the microscope
Which is the most reasonable estimate for 23.63 \ 6
Each month Bailey deposits money in her savings account.Over 8 months ,she has added $48.If Bailey deposited the same amount every month,how much is one deposit?
Writing. To. Explain Lola. Does. Dog. Sitting. For. 18hours. Per. Week. In the summer. About how much. Is her. Hourly. Rate. If she earns. $205.50. Per. Week
Slope 4.2;y-intercept(0,3.4)
The equation of a line with a slope of 4.2 and a y-intercept of (0, 3.4) is y = 4.2x + 3.4.
Explanation:Given the slope, which is 4.2, and the y-intercept of (0, 3.4), we can write the equation of the line in slope-intercept form (y = mx + b). Here, 'm' is the slope and 'b' is the y-intercept. So the equation becomes y = 4.2x + 3.4. This is the equation that describes a line with a slope of 4.2 and y-intercept of 3.4.
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Ed is on a road trip. He has already traveled 214 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 640 total miles? 214x + 66 = 640 214x + 640 = 66 66x + 214 = 640 66x + 640 = 214
Answer:
4th
Step-by-step explanation:
what percent of 2000 is 204
y=2x - 2 what does it equel
error analysis describe and correct the error in writing the word sentence as an inequality. help please
when a number x is multiplied by 4 the result is 2/5 what is the vaule of x
A number divided by 3.Then 14 is added to the quotient. The result is 33.What is the original number? I did x/3 + 14 = 33. Then i multiplied the 3 on both sides but didn't get the right answer .Help!!
Answer:57
Step-by-step explanation: If you do in calculator 57÷3+14 it equals 33
Find two estimates for 4,396 divided by 4 by rounding the dividend to the nearest hundred and also to the nearest thousand. Compare the estimates.
Answer:
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Step-by-step explanation:
The dividend of the expression 4,396 divided by 4 is 4396. The question enunciated we round up the dividend to the nearest hundred and thousand before estimating the expression.
4396 to the nearest hundred is 4400. The nearest hundred of 396 is 400.
4396 to the nearest thousand is 4000.
Now, let's do the estimate
4400/4 and 4000/4
1100 and 1000.
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
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Liang went to the bookstore. he spent 1/3 of his ,oney on a pen and 4/7 of it on books. what fraction of his money did he have left?
A soup can has a height of 4.5 inches and a diameter of 3.25 inches. Which of the following is the closest to the volume of the soup can? A. 149 cubic inches B. 23 cubic inches C. 52 cubic inches D. 37 cubic inches
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7910 divided by 14. Use a table
Dividing 7910 by 14 requires long division as typical division tables do not provide a reciprocal for 14. By performing the long division manually, we would get the quotient step by step, which allows us to estimate a reciprocal-like number for 14.
Explanation:The process of dividing 7910 by 14 involves determining how many times the divisor, which is 14 in this case, can be fitted into the dividend, 7910. To make use of division tables such as those mentioned, think of the process in terms of removing the decimal point and focusing on the significant digits that come into play.
Using a table similar to Table A.1, we would begin by looking for the closest number to 14 and noting its reciprocal. For instance, if we have 1.5 with a reciprocal of 6.67 in the table, it is implied that dividing by 1.5 is similar to multiplying by 6.67. Therefore, dividing by 14 would involve finding the entry that closely represents its reciprocal value.
However, none of the provided tables show a direct reciprocal for 14 which means we might have to perform the division traditionally. As guidance, knowing that the reciprocal of 2.5 starts with a 4 lets us infer that the reciprocal of 14 would start with a value less than 0.25, since 14 is more than 5 times larger than 2.5.
In conventional long division, we would set up the problem as 7910 divided by 14 and proceed step by step, subtracting multiples of 14 from portions of 7910 until the whole number is exhausted, and noting the quotient each time. The quotient we get at each step would allow us to find a reciprocal-like number for 14, and thus help us approach the problem in a table-driven manner.
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Final answer:
To divide 7910 by 14, you set up a long division table and go through the steps of dividing, multiplying, and subtracting until you reach a quotient of 564 with no remainder.
Explanation:
To divide 7910 by 14, we can use long division. Here's how we can set up our table to solve this division problem:
Step 1: Place 7910 inside the table and 14 outside, as you would in a standard long division problem.
Step 2: Determine how many times 14 goes into 79. This is 5 times because 5 x 14 = 70.
Step 3: Write down the 5 above the division table, subtract 70 from 79 to get 9, and bring down the next digit (which is 1) from 7910 to make the number 91.
Step 4: Now determine how many times 14 goes into 91. This would be 6 times because 6 x 14 = 84.
Step 5: Write down the 6 on top of the table next to the 5, subtract 84 from 91 to get 7, and bring down the next digit (which is 0) to make the number 70.
Step 6: Finally, see how many times 14 goes into 70, which is 5 times because 5 x 14 = 70.
Step 7: Write down 5 on top of the table next to 6. Now we have the quotient of 7910 divided by 14 as 564 with no remainder.
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