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kifflom [539]
3 years ago
10

In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
Let AB extended intersect DC extended at point E 
<span>We now have right triangle BEC with E = 90 degrees </span>

<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>

<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
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sergij07 [2.7K]

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50

8 0
3 years ago
What is the correct answer? ​
Nastasia [14]

Answer:

C)   (-3, -1)

Step-by-step explanation:

y = 5/3x + 4

  When x = 0, y = 4

  When y = 0, x = -2.4

  graph the points: (0, 4) and (-2.4, 0)

y = -2/3x - 3

  When x = 0, y = -3

  When y = 0, x = -4.5

  graph the points: (0, -3) and (-4.5, 0)

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4 0
3 years ago
How to write 438 in standard
Anton [14]
400+30+8 is how you put 438 in standard form.
8 0
4 years ago
Read 2 more answers
What is this help please ?
stiks02 [169]
|k - 2| * |3k| - 1
Substitute all of the "k" variables for -4
|-4 - 2| * |3(-4)| - 1
Multiply 3 by -4
|-4 - 2| * |-12| -1
Subtract 2 from -4
|-6| * |-12| - 1
Use the absolute value method
6 * 12 - 1
Combine like terms 
Final Answer: 71
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4 years ago
Show work please I need help asap
rosijanka [135]

Answer:

12. -11

13. 2

Step-by-step explanation:

12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction

For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.

From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.

Your new equation is -10-8+7 = -11

13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))

  • keep in mind there’s an addition between the two

Division and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17

Second multiply 5 x -3 = -15

Now you can combine the two answers using addition: 17 + (-15) = 2

5 0
3 years ago
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