3 years ago

Find the value of x in each case: Pls answer as fast as possible Thank You!!!!!!!

1 answer:

6 0

$m\angle AEB+4x=180^o\to m\angle AEB=180^o-4x\\\\\angle DEB=2x+\angle AEB\ \text{and}\ \angle EBC=6x\ \text{are Alternate Interior Angles}\\\\\text{Alternate Interior Angles are congruent (have the same measure)}\\\\\text{Therefore we have the equation:}\\\\m\angle DEB=m\angle EBC\\\\2x+(180^o-4x)=6x\\\\2x+180^o-4x=6x\\\\(2x-4x)+180^o=6x\\\\-2x+180^o=6x\qquad|\text{add 2x to both sides}\\\\180^o=8x\qquad|\text{divide both sides by 8}\\\\22.5^o=x\to x=22.5^o$

You might be interested in

Brenda buys a shirt for $40. She has a coupon for 25% off. What is 25% of $40?

tia_tia [17]

Answer:

Step-by-step explanation: hehejejehjejejehehhejehehejehehheehejhehejehejejejejejjejejejejejhhehejejjejejejeejehhehehe

8 0

3 years ago

Read 2 more answers

Whats the measure of an interior angle of a regular 12 sided

True [87]

360 ÷ 12 = 30.

The measure of an interior angle of a dodecagon is 30°. (:

4 0

4 years ago

Rob draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits- clubs, diamonds, hearts, and

alexira [117]

Sixteen plus fifty two equals 68

8 0

3 years ago

The degree of polynomial is ?

seropon [69]

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

6 0

2 years ago

I need help on this math problem

Mila [183]

Answer:

x = 2

y = —3

Step-by-step explanation:

3x — 9 = —2x + 1

x = 2

y = —3

8 0

3 years ago