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Aleonysh [2.5K]
3 years ago
10

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

Mathematics
2 answers:
Finger [1]3 years ago
7 0

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)

AveGali [126]3 years ago
6 0
The answers 
1)  <span>D. (TRANSITIVE PROPERTY OF CONGRUENCY)
2)  </span><span>C. (LINEAR PAIR THEOREM)
3)  </span><span>D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.
4)  </span><span>C. (CONGRUENT SUPPLEMENTS THEOREM)</span>
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Mrrafil [7]
<h3>Answer:  2</h3>

========================================================

Explanation:

If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.

For instance, the value 7 is prime because the only factors of this are 1 and 7.

For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.

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Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.

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3 years ago
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luda_lava [24]

Answer: a) y=-29x-20 b) y=3/5x-18

Step-by-step explanation:

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(-49)=-29(1)+b

-49=-29+b

-b=-29+49

b=-20

Therefore, the equation of the line is y=-29x-20

b) m = (-18-(-9)/(0-15)) = -9/-15 = 3/5

The y-intercept is (0,-18) as it's where the line intersects the y-axis and x equals 0

Therefore, the equation of the line is y=3/5x-18

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umka21 [38]

If each person got 1/6 then there is still 2/6 left over, =1/3. In fraction strips, we would do

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mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes ( red, blue, black, and whit
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The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

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Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

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