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BaLLatris [955]
3 years ago
11

What value of z will make △DEF ≅ △JKI

Mathematics
1 answer:
Leto [7]3 years ago
6 0

Answer:

z = 11

Explanation:

5y + 13 = 6y

Subtract 5y by both sides.

13 = y

Next,

z + 22 = 3z

Subtract z by both sides.

22 = 2z

Then, divide both sides by 2.

11 = z

Finally plug those answers into the equations.

5(13) + 13 = 78

6(13) = 78

(11) + 22 = 33

3(11) = 33

So △DEF ≅ △JKI because the value of z = 11.

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Answer:

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Step-by-step explanation:

<u><em>Given:</em></u>

<em>Solve for x.</em>

<em>1 + |2+x|= 9</em>

<em>O x = 4 or x = -8</em>

<em>O x = 7 or X = -11</em>

<em>O x = 5 or x = -9</em>

<em>x = 6 or X = -10 </em>

<u><em>Solve:</em></u>

<em>1 + |2+x|= 9</em>

<em>Subtract 1 from both sides:</em>

<em>1 + |2 +x| -1 = 9-1 </em>

<em>Simplify</em>

<em>|2 + x | = 8</em>

<em>Applying absolute value rule:  If |u| = a, a > 0 then u = a or u = -a</em>

<em>2 + x = -8</em>

<em>2 + x = 8</em>

<u><em>Solving:</em></u>

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<em>2 - 2 + x = -8 - 2</em>

<em>x = -10</em>

<u><em>Solving:</em></u>

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<em>x = 6</em>

<em />

<em>Hence, x = 6 or x = -10</em>

<em />

<u><em>xcookiex12</em></u>

<em>8/26/2022</em>

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Nana76 [90]

Based on the reflexive property of congruency, the missing step in the proof is: A. ∠ABC ≅ ∠DBE

<h3>What is the Reflexive Property of Congruency?</h3>

The reflexive property of congruency states that an angle will always be congruent to itself.

In the diagram given, we can prove that ∠ABC ≅ ∠DBE based on the reflexive property.

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Learn more about reflexive property on:

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