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Ivanshal [37]
3 years ago
14

Quadrilateral ABCD is the result of a reflection of quadrilateral LMNO over the line. Which line segment in the image correspond

s to NO¯¯¯¯¯¯ in the pre-image?
Mathematics
1 answer:
Andreyy893 years ago
5 0

NO-CD
AB-LM
AD-LO
CD-NO
BC-MN

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Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years. Set up the two equations that can be used t
KatRina [158]

Answer:

The two equations that can be used to find each of their ages are x=4 \times y and x+y=60 .

Step-by-step explanation:

We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.

Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.

Now, according to the question;

  • The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;

                                     x=4 \times y   ----------------- [equation 1]

  • The <u>second condition</u> states that the sum of their ages is 60 years, that means;

                                 x+y=60

                                4y + y = 60     {using equation 1}

                                  5y=60

                                   y=\frac{60}{5}

                                   y = 12 years

Now, putting the value of y in equation 1 we get;

                               x=4 \times y

                               x= 4 \times 12 = 48 years

Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.

8 0
3 years ago
Give an example of a line that is parallel to y=3x-4
Firdavs [7]
Maybe u should try a graph
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Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9
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Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

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3 years ago
Simplify the following expressions using Order of Operations.<br><br> 4+ 8 = 2 + 6 x 2
Hunter-Best [27]

Answer:

12 ≠ 14

Step-by-step explanation:

(4+8)=2+(6x2)

12 = 2 + 12

12 ≠ 14.

So the equation is false.

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