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

Properties of logarithms, Properties of Logarithms 1. log a x...

Properties of Logarithms 1. log a xy = log a x + log a y 2.  = log a x - log a y 3. log a x n   = n log

Calculate the probability, Calculate the Probability A bag contains 80...

Calculate the Probability A bag contains 80 balls of such 20 are red, 25 are blue and 35 are white.  A ball is picked at random what is the probability that the ball picked is

Ratio test - sequences and series, Ratio Test In this part we are goin...

Ratio Test In this part we are going to take a look at a test that we can make use to see if a series is absolutely convergent or not.  Remind that if a series is absolutely c

Hyperboloid of two sheets - three dimensional spaces, Hyperboloid of Two Sh...

Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of

Example of vector, Provide the vector for each of the following. (a) The...

Provide the vector for each of the following. (a) The vector from (2, -7, 0) -  (1, - 3, - 5 ) (b) The vector from (1,-3,-5) - (2, - 7, 0) (c) The position vector for ( -

Volume, a data set has a mean of 3, a median of 4, and a mode of 5.which nu...

a data set has a mean of 3, a median of 4, and a mode of 5.which number must be in the data set-3,4,5?

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