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
n200080 [17]
2 years ago
15

What is m∠AED? Enter your answer in the box. °

Mathematics
1 answer:
Vladimir [108]2 years ago
6 0

Answer:

<AED = 65

Step-by-step explanation:

1. Find the value of "x"

Remember, verticle angles are congruent. A verticle angle is formed when two lines intersect, the verticle angles are the angles that are opposite from eachother.

This means that;

<AEB = <CED

Substitue int he values;

5x - 10 = 3x + 40

Inverse operations;

5x - 10 = 3x + 40

-3x         -3x

2x - 10 = 40

    +10     + 10

2x = 50

/2    /2

x = 25

2. Find the measure of <AEB

Subsitute in the value for "x" that was found;

<AEB = 5x - 10

5 (25) - 10

125 - 10

115

3. Find the measure of <AED

Use a linear pair, a linear pair is two angles whose sum is 180 degrees. If one can put two angles together, and they form a straight line, then it is a linear pair.

<AEB and <AED are make a linear pair because together they form line BD.

This means that;

<AEB + <AED = 180

Substitute in the values;

115 + <AED = 180

<AED = 65

You might be interested in
Can a prime number be a multiple of any other number except itself. Explain why or why not
zzz [600]
No, by definition a prime number is one where the only factors are 1 and itself. If some prime number is a multiple of another number, then that other number is a factor of the prime number. But that would make it composite (non-prime)

For example, the number 11 is prime. The only factors are 1 and itself. If we made the claim that 11 is a multiple of 2, then 2 would be a factor of 11 making 11 non-prime (as it doesn't just have 1 and itself as factors).

Note: If you have two numbers A and B, and you say that A is a factor of B, then A is the smaller value. Though there is the exception when A = B. For example, saying "8 is a factor of 16" has 8 being the smaller value.

Another note: if you say "A is a multiple of B", then B is larger than A. The exception is when A = B. Example: "100 is a multiple of 5"
5 0
3 years ago
Given: BD bisects ABC. Auxiliary EA is drawn such that AE || BD. Auxiliary BE is an extension of BC
AnnZ [28]
The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} &#10; Statement & Reason \\ [1ex] &#10;1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\&#10;2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ &#10;3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ &#10;4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\&#10;5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ &#10;6. \angle ABD\cong\angle BAE & 6. Alternate angles&#10;\end{tabular}
\begin{tabular}{|p{4cm}|p{6cm}|}&#10;7. \angle AEB\cong\angle BAE & 7. Transitive property of equality \\&#10;8. \overline{EB}\cong\overline{AB} & 8. From 7. $\Delta ABE$ is isosceles \\&#10;9. EB = AB & 9. De(finition of congruence \\ 10. $\frac{AD}{DC}=\frac{EB}{BC}$ & 10. Triangle proportionality theorem \\&#10;11. $\frac{AD}{DC}=\frac{AB}{BC}$ & 11. Substitution Property of equality \\[1ex] &#10;\end{tabular}&#10;
7 0
2 years ago
Read 2 more answers
Assume that Santa has to deliver presents to almost 22 million kids an hour on the night before Christmas. What is his delivery
DENIUS [597]

Answer:

It's about 6,111 kids per second.

Step-by-step explanation:

1 hour = 60 minutes

1 minute = 60 seconds

60*60=3600

1 hour = 3600

hourly rate -> 22,000,000 kids/hr

secondly rate -> 22,000,000/3600 ≈ 6,111

secondly rate -> 6,111 kids/second

7 0
3 years ago
Can someone please help me?
Allisa [31]

Answer: you got this

Step-by-step explanation: YOU WILL NEVER SUCCEED IF YOU DON’T TRY

search it up if you really need help

7 0
2 years ago
How earth and venus the same?<br>​
anyanavicka [17]

Answer:

Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is a political machine
    5·2 answers
  • Hours of
    9·1 answer
  • Let a , a , be an arbitrary infinite sequence of events, and let b , b , be 12 12 another infinite sequence of events defined as
    13·1 answer
  • The set of ordered pairs in the graph below can be described as which of the following? A. a relation B. a function C. a relatio
    13·1 answer
  • I don't get the problem to 6j-3 for j=4
    7·1 answer
  • Solve the equation 0.3x-2=0.1(x+20) whats the solution set?
    6·1 answer
  • DUE NOW PLEASE HELP!!!
    14·2 answers
  • In ABC segment DC bisects /_C and divides AB into segment AD and BD. CD = 6 units and AC = 8.5, then which statement would
    15·1 answer
  • Subtract Write your answer in simplest form. 11/12 - 3/6
    8·2 answers
  • The ratio of the two numbers is 3:4 and their sum is 420. Find the two numbers
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!