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Dmitry [639]
3 years ago
7

Given: ∠6≅∠7 Prove: ∠5≅∠8

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

Step-by-step explanation:

angle 6 ang angle 7 congruent (equal to ) because they are alternate interior angles and alternate interior angles are always equal.

angle 6 and angle 5 are congruent(equal to )  because they are vertically opposite angles and vertically opposite angles are always equal.

angle 7 and angle 8 are congrunt (equal ) because they are veritically opposite angles angd vertically opposite angles are always equal.

angle 5 and angle 8 are congruent(equal ) because they are alternate exterior angles and alternate exterior angles are also always equal.

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A plane flying overhead at night is located by two
Gemiola [76]

Answer:

Step-by-step explanation:

B

2

3

​

​

Let the distance of two consecutive stones are x, x+1.

In ΔBCD, we have

tan60

o

=

x

h

​

⇒x=

3

​

h

​

      .....(i)

In ΔABC, we have

tan30

o

=

x+1

h

​

⇒

3

​

1

​

=

x+1

h

​

⇒

3

​

h

​

+1=

3

​

h       ......[from equation (i)]

⇒

3

​

2h

​

=1

⇒h=

2

3

​

​

 km

solution

6 0
3 years ago
Help fast! give extra points
AleksandrR [38]

Answer:

3X x 5 = 15x - 3 = 12x

7 0
3 years ago
Read 2 more answers
Multiply (2x + 2y)(2x + 2y)
Maslowich

Answer:

4x² + 4y² + 8xy

Step-by-step explanation:

( 2x + 2y ) ( 2x + 2y ) = ( 2x + 2y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = 2y

( 2x + 2y )²

= ( 2x )² + ( 2y )² + 2 ( 2x ) ( 2y )

= 2²x² + 2²y² + 8xy

= 4x² + 4y² + 8xy

7 0
2 years ago
Read 2 more answers
Find the first five terms of the sequence given the following recursive formula:
forsale [732]

Answer:

The first five terms are;

-3,-7,11,-29,69

Step-by-step explanation:

The recursive definition of the sequence is

a_1=-3,, a_2=-7 and a_n=a_{n-2}-2a_{n-1}.

When n=3, we obtain;

a_3=a_{3-2}-2a_{3-1}.

\implies a_3=a_{1}-2a_{2}.

\implies a_3=-3-2(-7).

\implies a_3=11.

When n=4

\implies a_4=a_{2}-2a_{3}.

\implies a_4=-7-2(11)=-29.

When n=5

\implies a_5=a_{3}-2a_{4}.

\implies a_4=11-2(-29)=69.

Therefore the first five terms are;

-3,-7,11,-29,69

5 0
3 years ago
Please help me with this question. I am very confused.
Oksanka [162]
I think u do the ones in the parenthesis first bc of PEMDAS since it's both negative it become positive and u can cross out both the 2's and that leaves u with 1/7 and then u just times 1/7 with 8 and then u get 8/7

hoped this helped! :)
7 0
3 years ago
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