Determine the angle between dec, Mathematics

Assignment Help:

Using the example provided below, if the measure ∠AEB = 5x + 40 and ∠BEC = x + 20, determine m∠DEC.

520_Determine angle.png

a. 40°

b. 25°

c. 140°

d. 65°

c. The addition of the measurement of ∠AEB and ∠BEC is 180°. Solve the following equation for x: 5x + 40 + x + 20 = 180. Simplify; 6x + 60 = 180. Subtract 60 from both sides; 6x = 120. Divide both sides by 6; x = 20. ∠AEB and ∠DEC are vertical angles that are same in calculation. Thus, if we ?nd the measurement of ∠AEB, we also know the calculation of ∠DEC. To solve for ∠AEB, substitute x = 20 into the equation 5x + 40 or 5(20) + 40, which same 140°. ∠DEC is also 140°. If you select a, you solved for ∠BEC. If you select b or d, the original equation was set same to 90 rather than 180. In select b, you then solved for ∠BEC. In choice d, you solved for ∠DEC.


Related Discussions:- Determine the angle between dec

Classification-developing pre-number concepts, Classification :  As you kn...

Classification :  As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c

Natural numbers, To begin with we have counting numbers. These ...

To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai

Rotational symmetry .., write down the order of rotational symmetry of the ...

write down the order of rotational symmetry of the rectangle

Pressure and vorticity distributions, Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE

Area of a hyperbolic wedge, The unit circle will be parametrized by (cosw, ...

The unit circle will be parametrized by (cosw, sinw). Provide a point on it, the region cut out by circle, the x-axis, and the line from the origin to this point has covered area w

Quadratic equation, If roots of (x-p)(x-q) = c are a and b what will be th...

If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c    please explain? Ans) (x-p)(x-q)=c x2-(p+q)x-c=0 hence,   a+b=p+q  and      a.b=pq-c

Think smarter, compare: 643,251; 633,512; and 633,893. the answer is 633,51...

compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?

Geometry, i need help trying make a presentation for my teacher

i need help trying make a presentation for my teacher

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd