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vesna_86 [32]
3 years ago
14

In the diagram shown, which angle pairs form complementary angles?​

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

ABD and CBD

This is the answer

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create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full c
Lyrx [107]

Answer: 4x^2+12x+9


Step-by-step explanation:

A perfect square trinomial is written as ax^2+bx+c, where

first term ax^2 = square of first term of binomial

second term=bx=twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

Thus to create a perfect  square trinomial put 'a' and 'c' a square number

Let a=4 and c=9

The required trinomial will be

4x^2+12x+9

=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)

3 0
3 years ago
Read 2 more answers
Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n
Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip.  We know it was 18% of the total. So...

x (the variable we need to find)         18%

__                                                   =     ___

10.08 (the total bill including tip)        100%

cross multiply

100x = 181.44

--------------------   (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0
3 years ago
Money is borrowed at 15% simple interest. After one year,$1181.05 pays off the loan. How much was originally borrowed?
marin [14]

Answer: $787 was originally borrowed.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

Total amount = $1181.05

Interest = total amount - principal

I = 1181.05 - P

R = 15%

T = 1 year

Therefore,

1181.05 - P

Therefore,

1181.05 - P = (P × 15 × 1)/100

1181.05 - P = 0.15P

P + 0.15P = 1181.0

1.5P = 1181.05

P = 1181.05/1.5

P = $787

5 0
3 years ago
Find the complex zeros of x^3+27. write f in factored form
aliina [53]
x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0


4 0
3 years ago
Every time I go to type a question it does this over and over where I can’t even type the question I’m looking for. Someone help
den301095 [7]

Answer: try checking your Wifi source and reopen the site if it's an app delete it then reinstall it another thing you can try is to restart your device or ask an IT in your family or one you know for help hope this works! :D

Step-by-step explanation:

7 0
3 years ago
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