1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
2 years ago
14

18c) Find the value of x in each case.

Mathematics
1 answer:
iVinArrow [24]2 years ago
8 0

Answer:

x = 22.5°

Step-by-step explanation:

m∠DEA = 2x

DE || AB

m∠EAB = 2x  - by Alternate Interior Angles

Exterior angle = 6x, which equals 2x + 4x

m∠BEA = 4x

Exterior Angle 4x = 2x + 2x

m∠B = 2x

2x + 4x + 2x = 180°

8x = 180°

x = 22.5°

<h2>Exterior Angles of a Triangle:</h2>

An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.

In this example, we know that 6x has remote angles of ∠EAB and ∠BEA

We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x

<h2>Sum of angles in a Triangle:</h2>

The sum of all angles in a triangle is equal to 180°.

In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x

Since the sum of all angles = 180°:

8x = 180°

x = 180°/8

x = 22.5°

-Chetan K

You might be interested in
Billy’s mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was
pantera1 [17]

Answer:

Billy

Step-by-step explanation:

come on really?

3 0
3 years ago
Read 2 more answers
2)
Fudgin [204]

Answer:

k

Step-by-step explanation:

8 0
3 years ago
the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle
NikAS [45]

Answer:


Step-by-step explanation:

2 * L + 2 * W = 68  

2*L = 2* 9x = 9x + 9x  

2*W = 2*8x = 8x + 8x  

Since the perimeter is 68  

9x + 9x + 8x + 8x = 68

4 0
3 years ago
The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac
Neporo4naja [7]

Answer:

well it's 9/25 or 0.36% or (36%) only

Step-by-step explanation:

So you add all the numbers up it would be 25, divide the numerator by the denominator and get 0.36%, i can't remember if you divide .36 by 100 or not but anyway you get 36%.

But I hope i have helped you in anyway.

5 0
3 years ago
BRAINLIESTTT ASAP!! <br><br> Who take FLVS Chemistry ( Seg 1) ? Please only answer if you do. :)
alexandr1967 [171]

Answer: I took it last year as a junior, what is the questions tho?

3 0
3 years ago
Other questions:
  • How fast is 11hp on a go-kart?
    11·2 answers
  • Write a number that has the same value as 5.132* 10^8
    15·2 answers
  • Write the place of each underline digit.<br> 164.13<br> -
    11·1 answer
  • How to tell if a triangle is obtuse acute or right based on side lengths?
    5·1 answer
  • Q(x)=-3x<br> r(x) = 4x-1<br> Find the following.<br> (r.q)(5) = <br> (r .q.)(5) =
    12·1 answer
  • On a typical long distance call you talk for 30 minutes. On a typical local call you talk for 10 minutes. Your phone company off
    13·1 answer
  • Question 1-2
    5·1 answer
  • Help me pleaseeeeeeeeeee
    12·2 answers
  • Simplify the expression.<br> a)1/64<br> b)2^-30<br> c)64<br> d)2^30
    8·2 answers
  • Your brother is 1/3 your age. Your sister is 4 years older than your brother. Your sister is 9 years old. Write and solve an equ
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!