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MrRissso [65]
3 years ago
6

In the accompanying diagram, ABCD is a

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Given:

m∠DAE = 30°

m∠CBE = 20°

To find:

The value of x.

Solution:

In rectangle, all angles are right angle.

m∠A = m∠B = m∠C = m∠D = 90°

m∠EDA + m∠EAB = 90°

30° + m∠EAB = 90°

m∠EAB = 90° - 30°

m∠EAB = 60°

Similarly, m∠CBE + m∠EBA = 90°

20° + m∠EBA = 90°

m∠EBA = 90° - 20°

m∠EBA = 70°

In triangle AEB,

Sum of all angles in a triangle = 180°

m∠EAB + m∠AEB +m∠EBA = 180°

60° + x° + 70° = 180°

130° + x° = 180°

Subtract 130° from both sides, we get

x° = 50°

x = 50

The value of x is 50.

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Answer:

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Step-by-step explanation:

The height of the object can be determined by:

\frac{object distance from pinhole}{image distance from pinhole} = \frac{object height}{image height}

From the given question;

object distance from pinhole = 3.6 m = 360 cm

image distance from pinhole = 4.2 cm

height of image = 0.8 cm

So that;

\frac{360}{4.2} = \frac{object height}{0.8}

⇒ object height = \frac{360*0.8}{4.2}

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object height = 68.6 cm

Thus, the height of the object is 68.6 cm.

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3 years ago
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Jim provides photos for two online sites: site A and site B. Site A pays $0.85 for every photo Jim provides. The amount in dolla
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We can use the same equation to figure out with only substituting the amount he was paid per photo.

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How do you solve 6 x + 5 x − 25 = − 5 x − 28
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Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

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