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3 years ago

Question in the picture!!!!!!!!

Mathematics

2 answers:

torisob [31]3 years ago

8 0

Answer:

∠A and ∠C are vertical and equal in measure

∠C is adjacent to the angle that is 27°

∠C and ∠B are supplementary

∠A and ∠B are supplementary AND adjacent

All of them are correct

Step-by-step explanation:

<u><em>This is just how to find the angles.</em></u>

"When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex." - MathPlanet

The 27° and the 90° angles added up equal ∠B

∠B = 117°

360°-117°-117°=∠A & ∠C

∠A + ∠C = 126°

∠A=∠C=63°

Vikentia [17]3 years ago

4 0

Answer:

<a and <c are vertical, and equal in measure

<c and <b are supplementary

< a and <b are supplementary and adjacent

Step-by-step explanation:

<a and <c are vertical and do have the same angle

<c and <b are supplementary because both of the angles equal 180 degrees

<a and <b are supplementery so they both equal 180 degrees and they also share a vertex so the are also adjacent

the las answer is wrong because the definition of vertical angles is two angles that intersect each other and are not adjacent. and angles <c and <a are not adjacent

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Read 2 more answers

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$c^2$ $2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)$

This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying $c^2$ . This is the second line. Then, you could take the square of the $4c^2$ , ant try to create a factor () () that will correspond to the expression in the second line. That is, we want $4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)$

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have $(2c + 6) (2c +7)$