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3 years ago

10

Corresponding Angles are congruent.

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

∠4 + ∠1 and ∠4 + ∠5

Step-by-step explanation:

∠4 and ∠1 are vertical angles.

∠4 and ∠5 are alternate exterior angles.

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If 2tanA=3tanB,then prove that tan(A-B)=sin2B/(5-cos2B) ...?

andreev551 [17]

Tan ( A - B ) = ( tan A - tan B ) / ( 1 + tan A tan B )
tan A = 3 tan B/2
tan ( A - B ) = ((3 tan B/ 2)-tan B) / ( 1 + 3 tan² B/2)=
= (tan B/2) / ( 2 + 3 sin²B/cos²B )=
= (sin B / cos B) / (( 2cos² B+3sin²B)/cos²B)=
=( sin B cos B ) / ( 2 cos²B + 3 ( 1 - cos² B ) ) =
= (sin B cos B ) / ( 2 cos² B + 3 - 3 cos² B ) =
= ( sin 2 B ) / 2 ( 3 - cos² B ) =
= ( sin 2 B ) / ( 6 - cos² B )=
= ( sin 2 B ) / ( 5 + 1 - 2 cos² B )=
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8 0

3 years ago

The next term in the geometric sequence -1, -2, -4, ... is -6.<br><br> True<br> False

bixtya [17]

False. All the numbers are doubling. -1 to -2 to -4. The next number would probably be be -8.

Have a nice day!

4 0

3 years ago

.Write the first five terms of the sequence defined by the recursive formula

Blizzard [7]

Answer:

The first five terms are $-1,2,8,20,44$ .

Step-by-step explanation:

The sequence is defined recursively by the formula $a_n=2\times(a_{n-1})+4$ .

The first term of the sequence is given to be, $a_1=-1$ .

To find the next term, we substitute $n=2$ in to the above formula to get,

$a_2=2\times(a_{2-1})+4$ .

$\Rightarrow a_2=2\times(a_{1})+4$ .

But $a_1=-1$

$\Rightarrow a_2=2(-1)+4$ .

$\Rightarrow a_2=-2+4$ .

$\Rightarrow a_2=2$ .

To find the third term, we substitute $n=3$ in to the above formula to get,

$a_3=2\times(a_{3-1})+4$ .

$\Rightarrow a_3=2\times(a_{2})+4$ .

But $a_2=2$

$\Rightarrow a_3=2(2)+4$ .

$\Rightarrow a_3=4+4$ .

$\Rightarrow a_3=8$ .

To find the fourth term, we substitute $n=4$ in to the above formula to get,

$a_4=2\times(a_{4-1})+4$ .

$\Rightarrow a_4=2\times(a_{3})+4$ .

But $a_3=8$

$\Rightarrow a_4=2(8)+4$ .

$\Rightarrow a_4=16+4$ .

$\Rightarrow a_4=20$ .

To find the fifth term, we substitute $n=5$ in to the above formula to get,

$a_5=2\times(a_{5-1})+4$ .

$\Rightarrow a_5=2\times(a_{4})+4$ .

But $a_4=20$

$\Rightarrow a_5=2(20)+4$ .

$\Rightarrow a_5=40+4$ .

$\Rightarrow a_5=44$ .

Therefore, the first five terms are $-1,2,8,20,44$ . The correct answer is C

4 0

3 years ago

lisabon 2012 [21]

Answer:

Area = 210m^2

Step-by-step explanation:

If you turn your shape sideways, you can see you have a trapezoid.

Area of a trapezoid is Average Parallel sides × height. That is:

Area

= (base+base)/2 ×h

The two measures are given for the bases, 5 and 16. The height is also given.

see image.

A = (5+16)/2 • 20

= 210

Area is 210m^2.

8 0

2 years ago

A porch has the shape of a quarter circle with a diameter of 5 ft. What is the approximate area of the porch, rounded to the nea

miss Akunina [59]

Area of a quarter circle = ( pi x r^2 ) / 4
(3.14 x 2.5^2) /4 = 4.9 feet

6 0

3 years ago