Complementary and Supplementary Angles Instruction

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Proving the Congruent Supplements Theorem

Ty

Statements Reasons

Given: 21 and 22 are supplements, 23

and 24 are supplements, and

21 24

Prove. 22 23

m2 1 = m24

m2 = m23

m2 1 + m2 = 180

212 24

m2 1 + m2 2 = m_3+ m21

m 1 + m22 = 23+ m24

Reasons

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1. given

Statements

✓ 1.21 and 22 are supp

✓ 2.23 and 24 are supp

✓ 3. m23 + m/ 4 = 180

MEA

2. given

3. def. of supplementary angles

Hint

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

step-by-step explanation:

(3rd option) - c