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Alexandra [31]
3 years ago
8

Identify which angle pair is represented in the picture below on 1 and 2

Mathematics
2 answers:
allsm [11]3 years ago
6 0

Answer: 17 is corresponding angles, 18 is same side interior.

Step-by-step explanation:

17. I like to think corresponding angles as friends who are far away but close enough to talk. They *respond* emails to each-other! On is on the inside (x) which is like a friend being in a state, and one is on the outside (y) which is like another penpal outside of the state! Hopefully this will help you remember things better! If one is outside, and another is inside, and they aren't touching each other, then they are corresponding, like how when friends are apart and on different sides of the world! In a shorter sentence, think of it as X and Y are penpals, and the lines keep them apart but they are still connected by the transversal line (the line that crosses this way | ). The transversal line can be imagined as a telephone line, or a mail route to help you remember more.

18. Same side interior is very easy to remember and is self explanatory.

If two angles are on the inside part, they interior friends! If they are also on the same side (for y and x it's the right side) then they are same side friends! Thus them being same side interior.

Reply to me if any of these explanations don't work, I'm happy to draw an example.

Anton [14]3 years ago
4 0

Answer:

first picture Is of corresponding angle that is x=y and second one is of co interior angle that is (x+y=180)

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Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+
irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

From above we can conclude that the below expressions are factored completely

16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

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