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2 years ago

Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1

Mathematics

1 answer:

grandymaker [24]2 years ago

8 0

Answer: $\frac{2}{2},1\ \text{and}\ \frac{2}{2},1$

Step-by-step explanation:

$\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}$

$\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}$

$\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}$

$\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}$

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Dmitry_Shevchenko [17]

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3 years ago

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

Finger [1]

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)

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But ∠IKC ≅ ∠JLD

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

So we have

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But ∠DLH and ∠JLD are supplementary angles.

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2 years ago

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The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

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N(Male)

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N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

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Answer:

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Step-by-step explanation:

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