Mathematics High School

[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the adjoining figure , AD is the bisector of [tex] \angle[/tex] BAC and AD [tex] \parallel[/tex] EC. Prove that AC = AE .
~Thanks in advance ! ♡

[tex] \underline{ \underline{ \text{Question}}} : [/tex] In The Adjoining Figure , AD Is The Bisector

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

[tex]1)\text{ } AD\text{ bisects } \angle BAC[/tex]                                  Given

[tex]2)\text{ } \angle BAD \cong \angle CAD[/tex]                                    Definition of Bisector

[tex]\displaystyle 3) \text{ } A D \parallel E C[/tex]                                               Given

[tex]\displaystyle 4)\text{ } \angle CAD\cong \angle ACE[/tex]                                    Alternate Interior Angles Theorem*

[tex]\displaystyle 5) \text{ } \angle BAD\cong \angle BEC[/tex]                                   Corresponding Angles Theorem*

[tex]6)\text{ } \angle CAD\cong \angle BEC[/tex]                                   Substitution

[tex]7)\text{ } \angle ACE\cong\angle BEC[/tex]                                    Substitution

[tex]\displaystyle 8)\text{ } AC = A E[/tex]                                              Isosceles Theorem Converse

*Please refer to the attachment below.

Let me know if you have any questions!

[tex] \underline{ \underline{ \text{Question}}} : [/tex] In The Adjoining Figure , AD Is The Bisector
Answer 2

Answer:

In the given figure AD is internal bisector of angle A and CE is parallel to DA. If CE meets BA produced at E.

to prove :AC=AE

<BAC + <EAC = 180° ( Straight line)

In triangle ACE

<ACE + <AEC + <EAC = 180° (sum ofangles of Triangle)

Equating both

<BAC + <EAC = <ACE + <AEC + <EAC

=<BAC = <ACE + <AEC.......... Eq 1

<BAD = (1/2) <BAC

<BAD = <AEC so (AD || CE)

we get

<AEC = (1/2) <BAC

putting this in eq 1

=<BAC = <ACE + <AEC Eq1

<BAD = (1/2) <BAC

<BAD = <AEC (AD || CE)

=<AEC = (1/2) <BAC

<AEC=<ACE=1/2 <BAC

: AC = AE

hence proved.

[tex] \underline{ \underline{ \text{Question}}} : [/tex] In The Adjoining Figure , AD Is The Bisector

Related Questions

cindy claims that 4^x/12^x=1/3​

Answers

Answer:

what about the equation

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Due very soon so if someone could answer soon-ish it would be very helpful and much appreciated <3<3<3
1) A straight line is perpendicular to y=2x+5 and passes through (0,3).
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Answers

Answer:

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only know that one soz

Step-by-step explanation:

An aeroplane flies from Newquay to Birmingham on a bearing of 044°. On what bearing should the pilot fly, to return to Newquay from Birmingham?

Answers

Answer:

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Step-by-step explanation:

y=1/3x-2
what would be y? and how to solve?
x y
-3 ?
0 ?
3 ?
6 ?

Answers

Y-intercept would be (0,-2)

The equation of a line in
slope-intercept form
is.
∙
y
=
m
x
+
b
where m represents the slope and

×
×
b, the y-intercept.
y
=
1
3
x
−
2
is in this form.
⇒
slope
=
1
3
and y-intercept
=
−
2
plot the point
(
0
,
−
2
)
using the slope, from -2 go up 1, across 3 to the right and

mark the point, that is (3,-1). Repeat for another point.

and draw a straight line through the points

graph{1/3x-2 [-10, 10, -5, 5]}

Solve for y. 75 = 5y Simplify your answer as much as possible.​

Answers

Answer:

y = 15 is the answer

Step-by-step explanation:

divided 75/5 = 15

{ i hope i helped :) i'm sorry if its wrong }

Answer: y=15

Step by step explanation: Divide both sides of equation by 5. Then the 5’s cancel out so that leaves 75 divided by 5 and that equals 15. Hope this helps:)

HELPPP!! 50 points!!

Answers

Answer:

22.28

Step-by-step explanation:

Since you know the diameter of the semi circle which is 4 because the shape is a parallelogram, you find the circumference of the circle and divide it by two because we only need to know wheat half of the circumference is. When you do this you end up with the answer 6.28. Then you add the lengths of the parallelogram to 6.28, disregarding the circumference of the circle which isn't part of the perimeter. Doing this is 6.28+6+4+6 which equals 22.28 units.

Eight students share 12 mini oatmeal muffins equally and 6 students share 21 mini apple muffins equally. Carmine is in both groups. What is the total number of mini muffins carmen gets?

Answers

i think carmen gets 6 mini muffins

3. Here is the graph for one of the equations in a system of two equations.
The solution to the system is (6,2). Select all the equations that could be the other equation in the system.
A. y - 3x
B. y ==x+6
C. y=*x+3
D. y = 3x - 1
E. y = $x-1
F. y - 4x-2

Answers

Answer:C,A

Step-by-step explanation:

3/4 is 70% of what number​

Answers

Answer:

0.5252 is the decimal form and the fraction is 21/40

I hope this helps

Step-by-step explanation:

Pls, help me :( Thank you !!!

Answers

Answer:

Step-by-step explanation:

x + x-7=31

2x=38

x=19

Jaleesa was organizing items in a scrapbook. She took 60 photos and divided them evenly
between p pages. Which algebraic expression represents the number of photos on each
page?
A. p/60
B. 60/p
C. 60 - p

Answers

B. Since she has to divide the number of pictures with how many pages

Answer:

The answer is B

Step-by-step:

Please...........
...
...
...
...

If you don’t know the anwser then don’t anwser or if your not sure don’t anwser I really wanna sleep before I knock out on my desk.

Answers

Step-by-step explanation:

subrated it's -7/12 tell me if u want sreps

-11/12

I think it is

what is 2x8x9x8x7x6x5x4x3

Answers

Answer:

[tex]2903040[/tex]

Step-by-step explanation:

Answer:

2,903,040 is correct answer

Please explain how to get it!!!

Answers

Answer:

i think its 95 or 90

Step-by-step explanation:

Answer:

90 PO ANG SAGOT!!!!!!!!!!!!!!!!!!!

Help!!! Please help me I need help on my homework!​

Answers

Answer:

82 is the answer to the question

Answer:

82

Step-by-step explanation:

It's a simple question... since all of the other answers are above 84 and we can clearly see October's average is below that, the only logical answer is 82 I am pretty confident you got it right

1/4 (8s + 16) help please

Answers

Answer:

2s + 4

Step-by-step explanation:

use the distributive property:

1/4 (8z + 16)

2s + 4

Done!

what is angle g and j

Answers

I would love to help but there is no picture to find the points:(

What is the solution to the equation x+2--Ex-5?


X=-8
X=-7
O
x=7
0
X=8

^^ picture

Answers

The answer to the equation is X = 7

What Can I Do With Inverses Worksheet

a) write an equation for the relationship represented in the table
b) make a table for the inverse
c) how are these two tables related?
d) use the relationship between the tables to find a shortcut for changing the equation of the original function into its inverse
e) now solve this new equation for “y”
f) justify that the equations are inverses of each other

Answers

I’m pretty sure it would be d.

-3+4x-10=1/2x

Please HELP

Answers

Answer:

x=26/7

Step-by-step explanation:

6^2 -(8-4) ^2 +7=
pls help I can’t fail math LOL

Answers

well 6^2 = 36 and (8-4)^2 = 16 so you would do 16 + 7 which is 23 and then 36 - 23 = 13.
answer
6^2-(8-4)^2+7=27

step by step

6^2=36
-(8-4)^2=-16

36-16+7=27


so your answer would be 27

Hannah ran 200 feet during recess. Juanita ran 350 feet during recess. In yards, how much further did Juanita run than Hannah?

Answers

Juanita ran 240 feet than Hannah

Simplify: 3(3a + 4b)


can u please give me the answer and tell me how u got it :)

Answers

Answer:

Answer 21ab

Step-by-step explanation:

First you do 3 times 3a which you get 9a then to 3 times 4b and you get 12b. So 12b plus 9a equals 21ab

Answer:

9a+12b

Step-by-step explanation:

use the distributive property

since the three is on the outside of the parethesis distribute it

3x3a= 9a

then do the same with 4b

3x4b= 12b

final answer

9a+12b

Tiffany bought a shirt worth c dollars and got a discount of 8% on the original price. Which expression shows the total amount she paid?

Answers

Answer:0.92c

Step-by-step explanation:

Short equations way:

100%-8%=92%

Convert to decimal:0.92

0.92c

11
50 (x – 4)(x – 24), where x and y are measured
MODELING WITH MATHEMATICS The entrance of a tunnel can be modeled by y=
in feet. The x -axis represents the ground. Find the width of the tunnel at ground level.

Answers

Answer:

=50x2−1400x+4800

Step-by-step explanation:


(9x – 9)
(3x + 9)°/B
Find the measure of ABC

Answers

Answer:

<ABC = 54 degrees

Step-by-step explanation:

Taking the sum of angle on the straight line ABD as 180 degrees

3x+9 + 9x - 9 =180

12x = 180

x = 180/12

x =  15 degrees

Since <ABC = 3x+9 (vertically opposite angles)

<ABC = 3(15)+9

<ABC = 45+9

<ABC = 54 degrees

Find the first three iterates of the function f(z) = z2 + c with c = -1, and an initial value of
z0 = 0 - i.
a.
-5, -2, 3
c.
-2, 3, 8
b.
-2, 5, 3
d.
5, 3, 8

Answers


ok will give brainliest and help too and mama and orange will give me some of that information she

Answer: c

Step-by-step explanation:

just did it

Solve for x
4 (x+1) <_ 4x+3

Answers

Answer:

No solution

Step-by-step explanation:

There are no valuables for x that make the inequality true.

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