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Anvisha [2.4K]
3 years ago
14

This my last one help

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

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Prove that tan60+tan70-tan50+tan10=2sqrt3?
LiRa [457]
{tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)} 

<span>ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to: </span>

<span>= 8*tan(10)/{1 - 3*tan²(10)} </span>

<span>iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10) </span>

<span>= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3*tan(30) = 3*(1/√3) = √3 [Proved] </span>

<span>[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)}, </span>
<span>{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
8 0
3 years ago
Simplify using distributive property -4(3)+(-4)(6)​
klasskru [66]
-4(3)=-12
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3 0
3 years ago
Read 2 more answers
Help me please I’m down baddddd
Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0
3 years ago
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aleksklad [387]
Correct answer: 1) (f/g)(x)

Solution: f(x)=x^2-6x-27=(x+3)(x-9)

3 0
2 years ago
If 4x^2 - 100 = 0, the roots of the equation are
ololo11 [35]
4x^2-100=0 \ \ \ \ \ \ |+100 \\&#10;4x^2=100 \ \ \ \ \ \ \ \ \ \ \  |\div 4 \\&#10;x^2=25 \\&#10;x=\pm \sqrt{25} \\&#10;x=\pm 5 \\&#10;x=-5 \hbox{ or } x=5

The answer is (3) -5 and 5.
5 0
3 years ago
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