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2 years ago

5

I’m confused on this explain

1 answer:

romanna [79]2 years ago

6 0

Triangles BAD and BCD are congruent by the HL theorem. That is, they have identical length hypotenuses (BD) and one leg is also identical in length to that in the other triangle. (AD ≅ CD)

Since the triangles are congruent, corresponding angles are equal, so ∠CBD = ∠ABD = 28°. The angle you are interested in is the sum of these two angles,

... ∠ABC = 28°+28° = 56°

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A rectangular yard is 18 feet long. The area if the yard is 400.5 square ft. What is the width of the yard?

WARRIOR [948]

Answer:

22.25 feet wide

Step-by-step explanation:

A = lw

400.5 = 18x

Divide 18 on both sides

22.25 = x

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2 years ago

What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?

Reika [66]

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Step-by-step explanation:

The 3D vector consists of 3 axes, let's say x, y and z.

Now, a vector P lies in all of them.

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2 years ago

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2 years ago

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3 years ago

Read 2 more answers

Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

$-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)$

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

$2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10$

<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

3 0

1 year ago