Not sure how to do this. i always struggle with proofs.

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:

Statement: angle QAU congruent to angle KAC

Reasoning: vert. angle congruenct thm

S: angle U congruent to angle C

R: Alt. Int. Angle Thm

S: Triangle QUA similar to Triangle KCA

R: AA Sim. Thm

Step-by-step explanation:

Practice a lot of proofs and you'll start seeing a pattern in them and it will become way easier.

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G(x)=4+3(x-1), evaluate for g(6)

Paladinen [302]

Answer:

g(x) = 19

Step-by-step explanation:

y = 4 + 3 (6-1)

y = 4 + 15

y = 19

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3 years ago

What is the inverse function of y= -2/3x+4

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$find\ "x"\\\\y=-\frac{2}{3}x+4\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\y-4=-\frac{2}{3}x\ \ \ \ |multiply\ both\ sides\ by\ 3\\\\3y-12=-2x\to-2x=3y-12\ \ \ |divide\ both\ sides\ by\ (-2)\\\\x=\frac{3y}{-2}-\frac{12}{-2}\\\\x=-\frac{3}{2}y+6\\\\Your\ answer:\boxed{y=-\frac{3}{2}x+6}$

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3 years ago

HELP!

loris [4]

<h3>Answer: Choice C, Ro, 270 </h3>

270 degree counterclockwise rotation around the origin

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Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is $(x,y) \to (y,-x)$ which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation