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skad [1K]
3 years ago
7

An inequality and its solution is shown below.

Mathematics
1 answer:
miskamm [114]3 years ago
3 0

Answer:

0

Step-by-step explanation:

The solution is x < 3.

Any number less then 3 is part of the solution set.

0 is part of the solution set.

3 and 4.5 are not.

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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
3 years ago
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Which of the following question is not considered a statistical question?
vekshin1

Answer:

B. How many total customers were at the story today?

Step-by-step explanation:

Option 'B' is not a statistical question because there is not more than one answer.

There is only one answer to this question.

Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.

<em>What amounts did each person at the store spend on their purchase?</em>

This question has more than one answer.

<em>How long did each customer spend shopping at the store?</em>

<em>What are the heights of each customer who entered the store?</em>

These questions have more than one answer as well.

Statistical questions are questions that have more than one answer. This means you can collect data.

I, therefore, believe that option 'B' is not a statistical question.

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Step-by-step explanation:

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3x=48-6

3x=42

x=14

2y+48=5y-9 (Sum of two opposite interior angles= exterior angle)

48+9=5y-2y

57=3y

y=19

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2 years ago
Sử dụng phép tính mệnh đề (các luật logic) để chứng minh các biểu thức sau là hằng
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