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

High self-esteem helps learning-how do children learn?, High Self-esteem He...

High Self-esteem Helps Learning :  Consider Ajay, a student of Class 2. He is constantly told by his irritated father, "How stupid you are! You don't even understand this! Even yo

Matrices, what is the business application of matrices

what is the business application of matrices

Matrices, what are eigen values

what are eigen values

FRACTION, HOW TO ADD MIXED FRACTION

HOW TO ADD MIXED FRACTION

Word problems fraction, Savannah''s mom made a fruit smoothie that tasted s...

Savannah''s mom made a fruit smoothie that tasted so good. She put in one-fourth of a cup of diced apples, one-fifth of a cup of sliced oranges, along with half of a cup of yogurt

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

Which expression has an answer of 18, Which expression has an answer of 18?...

Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T

Initial condition for differential equations, Initial Condition(s) are a se...

Initial Condition(s) are a set of conditions, or a condition on the solution which will permit us to find out that solution which we are after.  Initial conditions are frequently a

Vector function - three dimensional spaces, Vector Function The good wa...

Vector Function The good way to get an idea of what a vector function is and what its graph act like is to look at an instance.  Thus, consider the following vector function.

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