The answer is 3/2x but I don’t know how to solve it... please explain

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Answer:

y = 3/2x by making use of angle relationships in triangles

Step-by-step explanation:

Here's one way to solve it.

∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:

∠ADE = 2x° +y°

If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:

∠AGE = ∠GAD +∠GDA

3y° = x° +(2x° +y°)

2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °

y = (3/2)x . . . . . . . . divide by 2

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3 years ago

The universally accepted film size for movies has a width of 35 millimeters. If you want to project a movie onto a square sheet

dlinn [17]

Answer:

<h2>The scale factor is 285.7143 ≅ 286.</h2>

Step-by-step explanation:

The square sheet has an area of 100 square meters.

Hence, the width of the sheet is $\sqrt{100} = 10$ meters.

The scale factor is needs to be in such a way, so that the film's wide will be match perfectly with the square sheet. Hence, 35x millimeters = 10 meters = 10000 millimeters .

$x = \frac{10000}{35} = 285.7143$ .