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atroni [7]
3 years ago
9

Please this is very important

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

The part of the proof that uses the justification that angles with a combined degree of 90° are complementary is; Congruent Complements Theorem

<h3>How to prove complementary angles?</h3>

We are given;

m∠1 = 40°

m∠2 = 50°

∠2 is complementary to ∠3

We want to prove that ∠1 ≅ ∠3

Now, when the sum of two angles equals 90°, they are called complementary angles.

Now, looking at the angles, the proof that ∠1 ≅ ∠3 is Congruent Complements Theorem. This is because If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.

Read more about Complementary angles at; brainly.com/question/98924

#SPJ1

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Please help me <br>i really want to know the answer<br>and the explanation for this problems​
puteri [66]

Answer:

M = 4.33885225095

Step-by-step explanation:

Area of the square ABFE = 10² = 100

M = 100 - (2P + Q)

Let’s calculate 2P + Q :

The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF

Note :

ΔABC is an equilateral triangle

m∠CBF = m∠CAE = 30°

area ΔABC  = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922

CG = √(10^2 - 5^2)=8.660254037844  (Pythagorean theorem)

area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π

then

Area 2P + Q = area  ΔABC + area sector ACE + area sector BCF

                      = 43.30127018922+(100÷12)π+(100÷12)π

                      = 43.30127018922+ (8.333333333333)π + (8.333333333333)π

                      = 95.66114774905

Conclusion:

M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095

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