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pishuonlain [190]
1 year ago
10

Find the measures of angles of triangle DEF

Mathematics
2 answers:
Alchen [17]1 year ago
8 0

Answer:

<h3>Angle E = 90° </h3><h3>Angle D= 55° </h3><h3>Angle F = 35° </h3>

Sum of all the angles of a triangle = 180° ( angle sum property).

Angle D + Angle E + Angle F = 180°

8x - 1 + 5x + 90° = 180°

8x + 5x + 89 = 180

13x = 180 - 89

13x = 91

x = 7.

Angle D = 8x - 1

= 8(7)-1

= 56 - 1

= 55

Angle E = 90° ( given)

Angle F = 5x

= 5 * 7

= 35

GREYUIT [131]1 year ago
5 0

Answer:

m∠E: 90°

m∠D: 55°

m∠F: 35°

Step-by-step explanation:

Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.

90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7

From this, we can plug in the variable.

mE=90\\mD=55\\mF=35

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frosja888 [35]

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Step-by-step explanation:

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Hope this helps!

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2 years ago
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Using the linear equation 4x–3y=12, express: b x in terms of y
Amiraneli [1.4K]

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8 0
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Help? with complete solution​ please help me please
serious [3.7K]

9514 1404 393

Answer:

  1. 13 ft
  2. (a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

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Dividing by -8 puts this into standard form:

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__

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Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

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8 0
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