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barxatty [35]
3 years ago
5

Evaluate the expression. Make sure your work is clearly shown. (4/9)^-1/2

Mathematics
1 answer:
irina [24]3 years ago
8 0
Can you make this more clear?? not really sure what I'm supposed to be doing here

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In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.
REY [17]

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA  ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH +  ∠JLD =180° (Linear Pair Theorem)

So

m∠IKL + m∠IKC = 180°       ....(1)

But ∠IKC  ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

5 0
2 years ago
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If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)?
natali 33 [55]

If the limit of f(x) as x approaches 8 is 3, can you conclude anything about f(8)? The answer is No. We cannot. See the explanation below.

<h3>What is the justification for the above position?</h3>

Again, 'No,' is the response to this question. The justification for this is that the value of a function does not depend on the function's limit at a given moment.

This is particularly clear when we consider a question with a gap. A rational function with a hole is an excellent example that will help you answer this question.

The limit of a function at a position where there is a hole in the function will exist, but the value of the function will not.

<h3>What is limit in Math?</h3>

A limit is the result that a function (or sequence) approaches when the input (or index) near some value in mathematics.

Limits are used to set continuity, derivatives, and integrals in calculus and mathematical analysis.

Learn more about limits:
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1 year ago
A population of 42 fruit flies has increased
Alex777 [14]
Multiply 42 times 150 percent or 42×1.5 which would be 63
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2 years ago
What is 2and 2/3 divided by 4/5
MArishka [77]
The answer is about 3.3333
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3 years ago
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There are nine different types of bacteria on the Petri dish.
Olenka [21]

37 percent of the bacteria on the Petri dish is type 3

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