All categories

3 years ago

PLEASE HELP FOR BRAINLIEST ANSWER Choices are: A.) similar B.)not similar

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

A) Similar

Proven by AA postulate
By vertical angles <BCA = <DCE
and by alternate interior angles <B = <D

You might be interested in

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

2 years ago

Which of the following three-dimensional figures is formed when an equilateral triangle is rotated around the x-axis of the coor

VMariaS [17]

I think that the D. CONE is the three-dimensional figure that will be formed when an equilateral triangle is rotated around the x-axis of the coordinate plane.

A sphere is defined as the set of all points in space that are a fixed distance from a common point, the center.

A cylinder is with two parallel congruent circular faces whose cross sections (taken parallel to these circular faces) are circular.

A cube is a rectangular prism whose faces are squares.

5 0

2 years ago

Read 2 more answers

Find the ratio in which the line segment joining - 2 - 3 and 5 and 6 is divided by x– axis

nexus9112 [7]

Answer:

x axis ?

Step-by-step explanation:

4 0

2 years ago

Round to the nearest tenth 10.357

madam [21]