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Lapatulllka [165]
1 year ago
12

= A C F xº E G 80° 160° D B

Mathematics
1 answer:
Vesna [10]1 year ago
5 0

The value of angle ∠AEF or ∠x is 80°.

<h3>What are angles?</h3>
  • When two straight lines or rays intersect at a common endpoint, an angle is formed.
  • An angle's vertex is the common point of contact.
  • The term angle is derived from the Latin word angulus, which means "corner."
  • The basic angles are Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation.

So,

  • ∠CEB is 160° with EG being an angle bisector leaving ∠CEG = 80° and ∠BEG = 80°
  • FEG is a straight line with ∠FEG being 180°.
  • ∠FED + ∠DEB + ∠BEG = ∠FEG
  • 80° + ∠DEB + 80° = 180°
  • 160° + ∠DEB = 180°
  • ∠DEB = 180° - 160°
  • ∠DEB = 20°

Then,

  • ∠AEC = 20° = ∠DEB (Inversely opposite angles)

Now,

  • FEG is a straight line with ∠FEG being 180°.
  • ∠CEG + ∠AEC + ∠AEF = ∠FEG
  • 80° + 20° + ∠AEF = 180°
  • 100° + x = 180°
  • x = 180° - 100°
  • x = 80°
  • ∠AEF = 80°

Therefore, the value of angle ∠AEF or ∠x is 80°.

know more about angles here:

brainly.com/question/25716982

#SPJ9

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He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.




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3 years ago
A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed
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It will be easier to explain how to solve this question in a square. If you rotate 4-sided square from the centre, you need to rotate it 90 degrees. The formula for this would be: 360 ° /the side count. In a square, it would be 360° /4= 90°.

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Answer:

B 7feet

Step-by-step explanation:

Side a = 24

Side b = 25

Side c = 7

Angle ∠A = 73.74° = 73°44'23" = 1.287 rad

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Perimeter p = 56

Semiperimeter s = 28

Height ha = 7

Height hb = 6.72

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Cost of 2 1/2 yards= $15
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