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Fynjy0 [20]
3 years ago
6

Please help me out please

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

By comparing the perimeters, we can deduce the scaling factor:

k = \dfrac{34}{20} = 1.7

The areas scale with the square of the scaling factor, so the new area is

19.6 \cdot 1.7^2 = 56.644

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Which statement listed below illustrates the reflexive property of congruence
Vlad1618 [11]

Option D:

\triangle K L M \cong \triangle K L M

Solution:

Reflexive property of congruence:

<em>Reflexive property of congruence means the geometric figure is congruent to itself.</em>

Option A: If \triangle K L M \cong \triangle P Q R \text { and } \triangle P Q R \cong \triangle S T U \text { , then } \triangle K LM\cong \triangle S T U

From the definition of reflexive property, it is not true.

This is transitive property of congruence triangles.

Therefore it is false.

Option B: \text { If } \triangle  KL M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle S T U \text

From the definition of reflexive property, it is not true.

Therefore it is false.

Option C: \text { If } \triangle K L M \cong \triangle P Q R \text { , then } \triangle P Q R \cong \triangle K L M

From the definition of reflexive property, it is not true.

Therefore it is false.

Option D: \triangle K L M \cong \triangle K L M

Here, ΔKLM is congruent to itself.

This statement illustrates the reflexive property of congruence for triangles.

Therefore, it is true.

Hence option D is the correct answer.

4 0
3 years ago
Read 2 more answers
the diagram below shows the angles formed by some intersecting lines. give that m&lt;8=34, m&lt;9=40, and mm&lt;3=62, find the m
MrMuchimi

Answer:

m<4 = 44°

Step-by-step explanation:

m<8 = 34°

m<9 = 40°

m<3 = 62°

m<2 = 34° + 40° (exterior angle theorem of a triangle)

m<2 = 74°

m<3 + m<4 + m<2 = 180° (sum of ∆)

62° + m<4 + 74° = 180° (substitution)

m<4 + 136° = 180°

m<4 = 180 - 136 (substitution property of equality)

m<4 = 44°

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Answer:

Step-by-step explanation:

7(1/6)=7(1)/6=7/6

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