3 years ago

Which rule explains why these triangles are congruent?

Mathematics

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

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Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

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3 years ago

Two-fifths of the students in 6th grade are in the band, Of these, one-

Gelneren [198K]

Answer:

1/10 or 10%

Step-by-step explanation:

1/4 x 2/5 = 1/10 (10%)

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3 years ago

1. Consider the following system of equations.

Ivenika [448]

Answer:

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Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

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3 years ago

A typical music CD has a diameter of 5 inches. How does the diameter compare to the circumference of the CD?

Mrrafil [7]

Answer:

Step-by-step explanation:

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3 years ago

-4 < - 13( a + 6) -1 7

krek1111 [17]

Answer:

-4 < -13(a+6)-17

-4<-13a+(-78)-17

-4<-13a+(-95)

-4<-13a-95

91<-13a

-91>13a

-7>a

Step-by-step explanation:

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3 years ago

Read 2 more answers