[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 ! ♡
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!
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.
You don't have to explain how you got it, but make sure you know your right.
Answer:
The opposite of -3 is 3.
The opposite of 0 is 0.
The opposite of the opposite of 10 is 10.
What is the measure of the missing angle? 125 125° 03 O 13° O 42°
Answer:
The correct answer is C. 13
Step-by-step explanation:
It is 13 because all triangles equal 180
so 125+42+13=180
Well... what could the answers be
Answer: 1/3 and -3/2
Brainlist please?
Step-by-step explanation:
I WIL GIVE BRAINLIST IF CORRECT DON'T GIVE ME A NOT SMART ANSWER OR ILL REPORT IT
Which would be the BEST first step to use to solve this equation?
Problem: 0.15x=5
A. add 0.15 to both sides of the equation
B. divide both sides of the equation by 0.15
C.multiply both sides of the equation by 0.15
D. subtract 0.15 from both sides of the equation
Select all the expressions.
Answer:
owo
Step-by-step explanation:
In the figure shown, which pair of angles must be
complementary?
A. ZPQT and ZTQS
B. ZPQT and ZTQR
C. ZPQT and ZPQS
D. ZPQS and ZSQR
Answer:
B. ZPQT y ZTQR
Step-by-step explanation:
Can someone help me on this
its option 3 because is doesn't have even sides
A t-shirt increased in price by 1 4 . After the increase it was priced at £65. What was the original price of the t-shirt?
The original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
Please refer to the picture for the complete question.
We have:
A t-shirt increased in price by 1/4. After the increase, it was priced at £65.
Let's suppose the original price was x
(1 + 1/4)x = 65
(1 + 0.25)x = 65
1.25x = 65
x = £52
Thus, the original price was £52 if the t-shirt increased in price by 1/4. After the increase, it was priced at £65.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
3(x + 4) + 13 = 4x - 5 what is answer
Two lines intersect at point B, which is also the endpoint of two rays.
What is the measure of angle ABC?
Answer:
G
Step-by-step explanation:
Angle B is a 90 degree angle. It is made up of two complementary angles ,57 and 3x. Using this equation
[tex]57 + 3x = 90[/tex]
We solve for x
3x=33
x=11, then since plug in 11 into 2x and we get 22.
PLEASE HELP!
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 6 feet and one of the bases labeled as 7 feet, and the other base is labeled as 5 feet.
A. 30 square feet
B. 36 square feet
C. 48 square feet
D. 54 square feet
Answer:
B
Step-by-step explanation:
1: add the bases - 7+5
2: multiply the sum of 7+5 by the height-6
3: once you get the answer divide it by 2
Answer:
36 square feet. hope that helps
75 POINTS!!!
An event organizer found that 70% of young couples prefer to have indoor weddings instead of outdoor weddings. You want to survey three randomly chosen couples and use the results to find the estimated probability that all three couples prefer indoor weddings.
This scenario can be simulated by generating a set of three numbers using a number generator with numbers
. The numbers
would represent couples who prefer indoor weddings. If all three numbers in the set are in the range
, it would mean that all three couples prefer indoor weddings.
Answer:
1. 0-9
2. 0-6
3. 0-6
Step-by-step explanation:
This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.
(ik you might not need this anymore, but I'm hoping it proves useful to others)
All three numbers in the set are in the range it would mean that all three couples prefer indoor weddings is 0-9, 0-6 and 0-6.
We have given that,
An event organizer found that 70% of young couples prefer to have indoor weddings instead of outdoor weddings.
What is the range?The Range is the difference between the lowest and highest values.
This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.
To learn more about the range visit:
https://brainly.com/question/2264373
#SPJ2
If Domenica makes this banner, what will be the total area of the finished product? Show your work
Someone who is actually smart can you help me on this please it’s an emergency❤️
Answer:
i haven't studied this subject but i think the answer would be corresponding angles
Step-by-step explanation:
if this answer seems very wrong don't take it
Prompt: Sasha wants to go to the department store this Saturday for the big sale. She has saved $45, received $75 from birthday gift cards, and will receive $125 on Friday from work. Her mother reminds Sasha of the $39 she owes her for the last pair of jeans. Sasha also needs to put $50 in her savings. The sale has $40 jeans at 20 percent off and T-shirts on sale for 3 for $15.99. How many pairs of jeans and T-shirts can Sasha purchase? Show or explain how you got your answer.
Answer:
Step-by-step explanation:
Given that :
Inflow for Sasha = $(45 + 75 + 125) = $245
Outflow = $(39 + 50) = $89
Amount shasha can spend on sale :
$(245 - 89) =$156
T- shirt sales = 3 for $15.99
Pair of Jeans = (1 - 0.2) = 0.8 * $40 = $32
3 pairs of jeans
12 T-shirts at 3 for $15.99
3 jeans = 3 * $32
T - si
5kg of Compost costs £7.50. Find the cost of 10kg of compost
Answer:
15
Step-by-step explanation:
5kg= £7.50
10kg= £7.50(2)
£7.50 times 2 equals 15
£15
If using the method of completing the square to solve the quadratic equation x^2+17x+12=0 , which number would have to be added to "complete the square"?
Convert 5 hours to minutes. 200 minutes 300 minutes 150 minutes 250 minutes
Answer:
300 mins
Step-by-step explanation:
1 hours = 60 mins
5 hours = 5×60=300 mins
Answer:
300
Step-by-step explanation:
5 * 60 (minutes in an hour) = 300
The answers are either: 12, 2, 8, or 10 please helppp
Answer: 10 I believe
Step-by-step explanation:
Maria baked x cookies. She distributed the
cookies equally among her 6 neighbors.
Each neighbor received 18 cookies. Which
equation matches this situation?
Answer: She baked 108 cookies!
Step-by-step explanation: I did : (6x8) and it gave me (108) and too check my answer i did (108 divided my 6) it gave me 18.
Can somebody please help me
15 POINTS!!!
Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution.
#1
x^2-9=0
A. X13
B. X-19
C. X-0
D. no solution
Solve each equation by finding the square root. If the equation has no real-number solution, write no solution.
#5
4g^2=25
A. g=+1/2
B. g=+1/3
C. g=+5/2
D. No solution
#6
64b^2=16
A. b=+1/4
B.b=+1/2
C.b=+1/8
D. No solution
Tell me how many solutions the equation has.
#9
h^2=-49
A. One solution
B. Two solutions
C. No solution
#10
S^2-35=-35
A. One solution
B. Two solutions
C. No solution
Answer:
1. D. no solution
5. C. g=+5/2
6. B. b=+1/2
9. C. no solution
10. A. one solution
PLS help me its for 30 points
Answer:
Step-by-step explanation:
angle. Adjacent angles. Linear pair. Vertical angles
angle 5, 6 Yes. No. No
angke 5,9. No. Yes. No
angle 5,8. No. No. Yes
write 3x^2+7x+2 in the form of a(x-h)^2+k
Answer:
y = 3(x+7/6)² - 25/12
Step-by-step explanation:
What are some of the reasons for Venus’s high temperatures?
Answer:
As sunlight passes through the atmosphere, it heats up the surface of Venus. Most of this heat cannot escape back into space because it is blocked by the very thick atmosphere of Venus. The heat becomes trapped and builds up to extremely high temperatures
Step-by-step explanation:
im not sure if that is what you are looking for but there
Solve the following system of equations.
2x + 5y = -18 and y = -4x
Answer:
x=1 and y= -4
Step-by-step explanation:
step one: plug -4x into y in thi]e first equation.
2x+5(-4)= -18
step two: solve for x
2x-20= -18
(add 20 to both sides to eliminate -20 on the right)
2x=2
(divide both sides by 2 to get x by its self)
x=1
step 3: now that we found the value for x plug it in to either equation and solve for y
y= -4x
y= -4(1)
y= -4
what is 72.5÷10³ plsss help im confused
0.0725 is the answer
hope it will help you and mark me as
BRAINLIEST
The ratio of green apples to red apples in a bucket is 5 to 9. For every 10 green apples there are __ red apples.
plz help
The sum of 4 consecutive odd integers is 72
Help
Answer:
Answer: The 4 consecutive odd integers are 15, 17, 19, 21.
Answer:
15 + 17 + 19 + 21= 72
Step-by-step explanation:
hope this helped!