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saw5 [17]
2 years ago
15

9. If AJKL - ANML, find the values of x and y.

Mathematics
1 answer:
sergeinik [125]2 years ago
8 0

Answer:

x = 35, y = 18

Step-by-step explanation:

Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.

If NM = 16, and KJ = 40. 40/16 is the ratio from ∆<u>NM</u>L to ∆<u>JK</u>L. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.

Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.

Dividing by a number is the same as multiplying by the reciprocal of that number.

40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.

16/40 can be reduced to 2/5 or 0.4 as a decimal.

Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.

Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.

Therefore x = 14 × 5/2 = 70/2 = 35.

y = 45 × 2/5 = 90/5 = 18.

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10. Mary is feeding the dog that comes every night.
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The passive voice of the sentences will be:

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<h3>What is a passive voice?</h3>

It should be noted that a passive voice simply means a form of verb where the subject undergoes the action of the verb.

In this case, the passive voice is used to emphasize the action. In order to identify the passive voice, one should look at what happened and who was responsible.

Learn more about passive voice on:

brainly.com/question/25897080

6 0
1 year ago
Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will h
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314,118

Step-by-step explanation:

5 0
2 years ago
⚠️⚠️⚠️⚠️⚠️ 15 points
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Answer:

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Step-by-step explanation:

3 0
2 years ago
Plz help!
beks73 [17]

First, you need to find the derivative of this function.  This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.  

f'(x)=3x^2-3

Now, set this function equal to 0 to find x-values of the relative max and min.

0=3x^2-3

0=3(x^2-1)

0=3(x+1)(x-1)

x=-1, 1

To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each.  We will use -2, 0, 2.

f'(-2)=3(-2)^2-3=3(4)-3=12-3=9

f'(0)=3(0)^2-3=3(0)-3=0-3=-3

f'(2)=3(2)^2=3(4)-3=12-3=9

We examine the sign changes to determine whether it is a max or a min.  If the sign goes from + to -, then it is a maximum.  If it goes from - to +, it is a minimum.  Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.

To determine the values of the relative max and min, plug in the x-values to f(x).

f(-1)=(-1)^3-3(-1)+1=-1+3+1=3

f(1)=(1)^3-3(1)+1=1-3+1=-1

Hope this helps!!

7 0
3 years ago
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