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Over [174]
3 years ago
13

Find the missing length​

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
I need help on this too!!!
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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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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
MArishka [77]

Answer:

all work is shown and pictured

8 0
3 years ago
How would you explain the proper use of distributive property ? ​
Maksim231197 [3]
Start with the word “distribute” meaning to pass equally. Now distributive property means to distribute equally. For example 2(4x+5) you wanna distribute the 2 amount the parentheses so that it’s”distributed evenly. 2(4x+5) is now 8x+10
3 0
3 years ago
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1
Bond [772]

Answer:

x = 1/4

Step-by-step explanation:

-7x - (-5-x) = -9(2x-1) -1

-7x + 5 + x = -18x + 9 - 1

combine like terms:

-6x + 5 = -18x + 8

add 18x to each side of the equation:

12x + 5 = 8

subtract 5 from each side:

12x = 3

divide both sides by 12:

x = 3/12 = 1/4

5 0
3 years ago
The height h of an object projected upward from the floor of the Golden Gate Bridge which has an initial height of 220 feet and
Cloud [144]

Answer:

7.3

Step-by-step explanation:

time is distance divided by velocity/speed

t = 220/30

t = 7.33333 = 7.3

8 0
3 years ago
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