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

Formulas, A house painter uses the formula, c = $110.50 + $39.50h, where c ...

A house painter uses the formula, c = $110.50 + $39.50h, where c is the total cost and h is the number of hours he works, to determine how much he charges his customers. How much s

Find the volume of ice cream cone, An ice-cream cone has a hemispherical to...

An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.

Circles, Two tangents TP and TQ are drawn to a circle with center O from an...

Two tangents TP and TQ are drawn to a circle with center O from an external point T.prove that angle PTQ=angle 2 OPQ

Describe adding and subtracting fractions in details, Describe Adding and S...

Describe Adding and Subtracting Fractions in details? To add or subtract fractions, here are some steps: 1. Find the lowest common denominator (LCD) or any common denominato

Prove - digraph of a partial order has no cycle more than 1, Prove that the...

Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A

Four is added to the quantity two minus the sum of negative, Four is added ...

Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr

Interval of convergence - sequences and series, Interval of Convergence ...

Interval of Convergence After that secondly, the interval of all x's, involving the endpoints if need be, for which the power series converges is termed as the interval of conv

Describe the properties of inequalities, Describe the Properties of Inequal...

Describe the Properties of Inequalities ? Postulate In comparing two quantities, say a and b, there are exactly three possibilities. (1) a is less than b. (a b)

G .E matrix, using the g.e matrix, how can you turn an unattractive product...

using the g.e matrix, how can you turn an unattractive product to be attractive

Definition of vertical asymptote, Vertical asymptote Definition : The funct...

Vertical asymptote Definition : The function f(x) will contain a vertical asymptote at x = a if we contain any of the following limits at x = a .   x→a- Note as well that it

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