Determine the measure of angle, Mathematics

Assignment Help:

Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE.

2177_Determine the measure of angle.png

a. 155°

b. 73°

c. 107°

d. 25°

d. ∠CBD and ∠ABE are vertical angles that are same in measurement. Solve the following equation for x: 4x + 5 = 7x - 10. Subtract 4x from both sides; 5 = 3x - 10. include 10 to both sides; 15 = 3x. Divide both sides by 3; 5 = x or x = 5. To solve for ∠ABE substitute x = 5 into the expres- sion 4x + 5 and simplify; 4(5) + 5 same 20 + 5 or 25. ∠ABE equals 25°. If you select a, you solved for ∠ABC or ∠EBD. If you select b, you considered the angles were supplementary and set the sum of the two angles same to 180. If you select c, it was the same error as choice b.


Related Discussions:- Determine the measure of angle

Find the depth of water in the pond, A lotus is 2m above the water in a pon...

A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side and only the stem completely submerges in the water at a distance of 10m from the original positio

Harmonic progression (h.p.), Three quantities a, b and c are said to ...

Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o

Retest Simulation, What is the probability of guessing five questions on a ...

What is the probability of guessing five questions on a test correctly

Using euclid''s algorithm find the value of x & y, If d is the HCF of 30, 7...

If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans:    Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12

Basic algebraic properties of real numbers, These can be expressed in...

These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then;     1.

Chi-square hypothesis tests as non-parametric test(x2), Chi-square hypothes...

Chi-square hypothesis tests as Non-parametric test(X2) They contain amongst others i.    Test for goodness of fit ii.   Test for independence of attributes iii.  Test

What percent the girls surveyed said that area hockey sport, 450 girls were...

450 girls were surveyed about their favorite sport, 24% said in which basketball is their favorite sport, 13% said in which ice hockey is their favorite sport, and 41% said which s

Determine the height of building, A 20-foot light post shows a shadow 25 fe...

A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft

Algebra, let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of...

let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?

Statistics, do we calculate midpoints from classes or from class boundaries...

do we calculate midpoints from classes or from class boundaries

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