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Elden [556K]
3 years ago
14

Given: angle ABD is congruent to angle DBC are complementary

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

∠ABD ≅ ∠DBC - Given.

∠ABD and ∠DBC are complimentary angles - Given.

∠ABD + ∠DBC = 90° - Definition of complimentary angles.

∠ABD + ∠DBC = ∠ABC - Angle addition postulate.

∠ABC = 90° - Substitution property.

∠ABC is a right angle - Definition of a right angle.

~Hope this helps!~

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we know that

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so

Let

s------> the length of the third side

25+s > 35 \\ s > 35-25 \\ s> 10\ cm          

25+35 > s \\ 60 > s \\ s< 60\ cm  

10\ cm < s < 60\ cm

therefore

<u>The answer part a) is</u>

10\ cm < s < 60\ cm

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

P=25+35+s\\P=60+s

<u>For s> 10\ cm</u>

the perimeter is equal to

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<u>For s< 60\ cm</u>

the perimeter is equal to

P < 60+60\\ P

so

70\ cm < P < 120\ cm

therefore

<u>the answer part b) is</u>

70\ cm < P < 120\ cm

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3 years ago
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Step-by-step explanation:

I can't get to act correctly either.

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