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
patriot [66]
3 years ago
10

Given: BD bisects ABC. Auxiliary EA is drawn such that AE || BD. Auxiliary BE is an extension of BC

Mathematics
2 answers:
AnnZ [28]3 years ago
7 0
The required proof is given in the table below:

\begin{tabular}{|p{4cm}|p{6cm}|} 
 Statement & Reason \\ [1ex] 
1. $\overline{BD}$ bisects $\angle ABC$ & 1. Given \\
2. \angle DBC\cong\angle ABD & 2. De(finition of angle bisector \\ 
3. $\overline{AE}$||$\overline{BD}$ & 3. Given \\ 
4. \angle AEB\cong\angle DBC & 4. Corresponding angles \\
5. \angle AEB\cong\angle ABD & 5. Transitive property of equality \\ 
6. \angle ABD\cong\angle BAE & 6. Alternate angles
\end{tabular}
\begin{tabular}{|p{4cm}|p{6cm}|}
7. \angle AEB\cong\angle BAE & 7. Transitive property of equality \\
8. \overline{EB}\cong\overline{AB} & 8. From 7. $\Delta ABE$ is isosceles \\
9. EB = AB & 9. De(finition of congruence \\ 10. $\frac{AD}{DC}=\frac{EB}{BC}$ & 10. Triangle proportionality theorem \\
11. $\frac{AD}{DC}=\frac{AB}{BC}$ & 11. Substitution Property of equality \\[1ex] 
\end{tabular}

34kurt3 years ago
7 0

Answer:

Reasons 2 and following

2. Definition of angle bisector

3. Given

4. They are corresponding angles

5. Transitive property of equality

6. Alternate angles are congruent

7. Transitive property of equality

8. From <em>7</em> ΔABE is isosceles

9. Definition of isosceles triangle

10. Triangle proportionality theorem

11. Substituting <em>9</em> in <em>10</em>

You might be interested in
The function f is defined by f(x) = x^2-2x-24<br> if f (x + 3) = x^2+kx-21, what is the value of k?
vova2212 [387]
Take this for example

3 0
2 years ago
Read 2 more answers
F(x)=-8x+20;5-2[f(-1)]<br>​
Anni [7]

Answer:

Step-by-step explanation:

f(x) = -8x + 20

f(-1) = -8* -1 + 20 = 8+20 =28

5 -  2[f(-1)] = 5 - 2*28 = 5 - 56 = -51

8 0
3 years ago
What is the inverse of f(x)=6x^2
likoan [24]

Answer:

f^-1 (x) = √ 6x/6 - √ 6x/6

Step-by-step explanation:

interchange the variables and solve for y.

sorry its a little hard to read i didnt have all the symbols on my keyboard

8 0
3 years ago
Select all the rational numbers.​
frez [133]

Answer:

1, 4, & 6

Step-by-step explanation:

1. is a fraction and fractions are rational numbers

2. 11 is not a perfect square so the answer should be a terminating decimal and terminating decimals are irrational numbers

3. is a terminating decimal and an irrational number

4. .23 is a decimal which is a rational number since it can be made into the fraction 23/100

5. is a terminating decimal which is an irrational number

6. is a fraction which is a rational number

Hope this helped and pls mark Brainliest

7 0
2 years ago
Read 2 more answers
SenorMathWiz I need help again XD
Alik [6]

Answer:

x=42

y=59

Step-by-step explanation:

Ok so first things first

the angle that is equal to 2x-11 is vertical to the angle that is equal to 73

meaning that these angles are congruent

so we setup an equation

2x-11=73 and solve for x

step 1 add 11 to each side

73+11=84

-11+11 cancels out

now we have

84=2x

step 2 divide each side by 2

84/2=42

so x=42

so we know that the angles that are listed bellow

(73, 48 and y)

are supplements meaning that they will add up to equal 180 so to find y we subtract the given angles

180-73-48=59 so y=59

5 0
2 years ago
Other questions:
  • Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable
    6·2 answers
  • Please help me just say your answers in the comments please
    6·1 answer
  • (x^2+y)(x^4y^3)/xy^2
    8·1 answer
  • A rectangle can have a width of 6 inches and a perimeter that is less than 36 inches true or false?
    5·1 answer
  • What do you have to multiply a million by to get to a billion
    10·2 answers
  • Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
    5·1 answer
  • Please help me with this problem​
    14·1 answer
  • Plz answer quickly !!!!
    15·1 answer
  • A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
    13·1 answer
  • the table shows the cost to take a ferry boat across a lake. Ferry Boat Tickets vehicle | cost cars| $52 Trucks| $75​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!