If the angular bisector of an angle of a triangle bisects the opposite side , prove that the triangle is an isosceles triangle.
~Thanks in advance! ​

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

Please refer to the attachment below.

In order to complete the proof, we create a new segment DE that extends from D and is equal to AD. The endpoint of DE will be connected to B.

Statements:                                             Reasons:

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

[tex]2)\text{ } CD=DB[/tex]                                            Definition of Bisector

[tex]3)\text{ } AE=DE[/tex]                                            Given

[tex]4)\text{ } \angle ADC \cong \angle EDB[/tex]                                 Vertical Angles are Congruent

[tex]5)\text{ } \Delta ADC\cong \Delta EDB[/tex]                                SAS Congruence

[tex]6)\text{ } \angle BED\cong \angle CAD[/tex]                                CPCTC

[tex]7)\text{ } AD\text{ bisects } \angle A[/tex]                                    Given

[tex]8)\text{ } \angle CAD\cong \angle BAD[/tex]                                 Definition of Congruence

[tex]9)\text{ } \angle BED\cong\angle BAD[/tex]                                 Substitute

[tex]10)\text{ } BE=BA[/tex]                                          Isosceles Triangle Theorem

[tex]11) \text{ } BE=CA[/tex]                                          CPCTC

[tex]12)\text{ } CA=BA[/tex]                                          Substitute

[tex]13)\text{ } \Delta ABC\text{ is isosceles}[/tex]                             Isosceles Triangle Definition

If The Angular Bisector Of An Angle Of A Triangle Bisects The Opposite Side , Prove That The Triangle
Answer 2

Answer:

this is your answer look it once.thank you.

If The Angular Bisector Of An Angle Of A Triangle Bisects The Opposite Side , Prove That The Triangle

Related Questions

1. Mang Isko bought 30 kilograms of organic fertilizer for P738 at 12% discount
What was the original price?​

Answers

Answer:

the original price of organic fertilizer was P839

Step-by-step explanation:

to get the 738 of 12% is

839

x. 12

_______

+ 1678

839

________

100.68

839

- 100.68

_________

738.32

I need help please and thanks to who helps me

Answers

For the number 2
Sum of interior angles in a polygon = (n-2) x 180
Sum of I.A in a pentagon = 540
You’ll then equal everything to 540
5x + 5 + 4x - 10 + 4x - 10 + 4x + 15 + 4x + 15 = 540


21x + 15 = 540
21x = 525
X = 25


If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),
then find the value of 'a'.​

Answers

[tex]a=-1[/tex]

Using the midpoint formula directly from the topic meaning

[tex]\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}[/tex]

so

[tex]\frac{a+a+4}{2} =1\\a=-1[/tex]

HELP AND I WILL GIVE BRAILINIEST

Answers

Answer:

d and e hope this helped have a great day

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

You can subsititute p with a random number and check if the equation works! Hope thsi helps :)

Does anyone know the bottom one ?

Answers

Answer:

I think it is 54 .

Step-by-step explanation:

50 + 50= 100

45+45 = 90

27 + 27 =5 4

Please help me for Brainliest + lots of points!

Answers

Answer:

do you have any notes? kinda confused here on what u do

Step-by-step explanation:

Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9

Answers

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

CD = 2DE

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

-2a-10+a=-28 please help me

Answers

Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

4x^5+2x^4+2x^3+4
I NEED HELP FACTORING THIS PLACE

Answers

Answer:

2(x+1)x(2x^4-x^3+2x^2-2x+2)

Step-by-step explanation:

Use the app that named Photomath can help you solve this kind of problem easily!

I am using it for factoring questions too!

please i need help
and I need to have work
ds here so I guease this ends a conversation please help ​

Answers

Answer:

Step-by-step explanation:

9 is 4a + 6b - 3c

10 is 2x(small 2) - 6 + 5x

11 is 5 - 2d

12 is - 3x

13 is - a - b

14 is 7c + 9d

15 is 4x(small 2) + 9x - 16

16 is 12y -14

17 is 2a(small 2) + 3ab

I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )


Evaluate this express for k = 10; 3k + 4 - K+ 1 (give number answer
only...NO WORDS)

Your answer:

Answers

Answer: k=−5/28

Step-by-step explanation: hope this help

Maria has 64 meters of fencing to enclose a rectangular plot of land. She knows the area of the plot is 252 square meters. Find the dimension of Maria's plot of land.

Answers

Answer:

18 meters by 14 meters

Step-by-step explanation:

Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).

This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:

2L+2W = 64

Now we know the area enclosed must be 252 so we have:

L* W = 252

Rewriting the second equation we get: [tex]W=\frac{252}{L}[/tex]

Plug this into first equation to get: [tex]2L+2\left(\frac{252}{L}\right)=64[/tex]

[tex]2L+\frac{504}{L}=64[/tex]

[tex]2L^2+504=64L[/tex] (multiply everything by L)

Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.

Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).

write 34% as a fraction in simplest form.

Answers

17/50 is 34% as a fraction!

IF ANSWERED CORRECTLY, I WILL GIVE BRAINLYEST

Answers

Answer:

La tercera

-1 2/9

Step-by-step explanation:

Simplify

(−3  2 /3 )( 4 /12 )

(Decimal: -1.222222)

1) Qual é a equação que representa o perímetro de 103 cm de um triângulo escaleno? *

1 ponto

a) 3x = 103

b) 2x – y = 103

c) x + y + z = 103

d) x + 3y = 103

2) Determine a área de um triângulo equilátero, sabendo que este tem 48 cm de perímetro e altura 14cm. *

1 ponto

a) 96 cm²

b) 100 cm²

c) 104 cm²

d) 112 cm²

Fonts for Android and iPhone - www.fontskeyboard.com ​

Answers

C c c c c c c c gc c c. C ccc

uh id.k j answer it ig

3X + 4Y = 8

Answers

Answer:−4 /3 y+ 8 /3

Step-by-step explanation:

Answer:

Gotta be multiple answers right?

Step-by-step explanation:

X = 0 and Y = 2

OR

X = -8 and Y = 8

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Answers

Answer:

Step-by-step explanation:

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Let us represent:

The age of :

Tanisha = a

Elicia = b

Ajua = c

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua

a = 2c

c = 2/a

Elicia is two years older than Tanisha.l

b = a + 2

The sum of all their ages is 37.

a + b + c = 37

We substitute

a + a + 2 + 2/a = 37

2a + 2 + 2/a = 37

Use variable expressions and calculate the age of each girl

Mike made 5/6 of his free throw attemps and Lisa made 7/9 of her free throw attemps. Choose two fractions that show 5/6 and 7/9 written with a common denominator.

Answers

Answer: [tex]\dfrac{15}{18},\dfrac{17}{18}[/tex]

Step-by-step explanation:

Given fractions: [tex]\dfrac56[/tex]   and [tex]\dfrac79[/tex]

Denominators: 6 and 9 respectively.

Both numbers are multiples of 3.

6= 2 x 3

9 = 3 x 3

Least common multiple of 6 and 9 = 3x 3 x2 = 18

[tex]\dfrac{5}{6}\times\dfrac{3}{3}=\dfrac{15}{18}[/tex]                   ,  [tex]\dfrac{7}{9}\times\dfrac22=\dfrac{17}{18}[/tex]

The required fractions with common denominators: [tex]\dfrac{15}{18},\dfrac{17}{18}[/tex]

Answer:

Step-by-step explanation:

thats wrong

I BET YOU WONT ANSWER THIS QUESTION CORRECTLY :)

Answers

Answer:

Uno reverse.

Step-by-step explanation:

I WIN >:) HEHEHEHEHEHEHHE

How to differentiate this?​

Answers

Answer:

[tex]\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)[/tex]

and

[tex]x=5,\:x=-3,\:x=-\frac{1}{11}[/tex]

Step-by-step explanation:

This problem is slightly more difficult.

We start off with the product rule. If y = v*u then in the case:

[tex]u=\left(x+3\right)^4,\:v=\left(x-5\right)^7[/tex]

[tex]=> \frac{d}{dx}\left(\left(x+3\right)^4\right)\left(x-5\right)^7+\frac{d}{dx}\left(\left(x-5\right)^7\right)\left(x+3\right)^4[/tex]

Now we apply the chain rule:

[tex]\frac{d}{dx}\left(\left(x+3\right)^4\right) = 4\left(x+3\right)^3\frac{d}{dx}\left(x+3\right)\\= 4\left(x+3\right)^3\cdot \:1\\= 4\left(x+3\right)^3[/tex]

We can apply the chain rule again for this second bit:

[tex]\frac{d}{dx}\left(\left(x-5\right)^7\right) = 7\left(x-5\right)^6\frac{d}{dx}\left(x-5\right)\\= 7\left(x-5\right)^6\cdot \:1\\= 7\left(x-5\right)^6[/tex]

So now we are left with this long equation:

[tex]4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4[/tex]

Which we can actually factor:

[tex]4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4 = \left(x-5\right)^6\left(x+3\right)^3\left(4\left(x-5\right)+7\left(x+3\right)\right) \\= \left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)[/tex]

...And for the second bit, if we equate to 0, we can apply the Zero Product Property to get all the x values:

[tex]\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)=0,\\x=5,\:x=-3,\:x=-\frac{1}{11}[/tex]

A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?​

Answers

i have no idea i’m sorry

simplify this ratio
2:8

not sure how you'd simplify it since the first number is 2? just say if you can or can't simplify it and if you can please demonstrate how :))

Answers

Answer:

1:4

Step-by-step explanation:

the answer is 1:4 because, 2:8 is proportional to it by dividing each number by 2, hope this helped!!

What is the slope for the line that passes through (2,5) and (6.7).

1. 2/1
2. 1/2
3. -2/1
4. -1/2

Answers

Answer:

2. 1/2

Step-by-step explanation:

slope is rise over run

y2-y1/x2-x1

7-5/6-2 = 2/4 = 1/2

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)

Answers

Answer:4/3 i think

Step-by-step explanation:

Answer:

Point-slope form:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Slope-intercept form:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).

First, we will find the slope between the two points. By the slope formula:

[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Is the point-slope form*.

To find the slope-intercept form, we simply need to isolate y. Distribute:

[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]

Adding 3 to both sides yields:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

This is slope-intercept form.

*If you use the other point, the point-slope form will be:

[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]

Solve systems using substitution PLEASE

Answers

x=5. y=35.

To solve, substitute the 7x into the equation for y. Solve. You get x=5. Then put that into your first equation. Solve. You get y=35. Hope that helps!!

Why did the North allow the Constitution to protect slavery?

Answers

Answer:

hope helps

Step-by-step explanation:

The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.

Answer:

The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.

Step-by-step explanation:

TELL HOW TO DO IT AND PLS DONT STEAL POINTS

Answers

Answer:

The last one is a function.

Step-by-step explanation:

When the x value corresponds to different y values e.g. (1,2)(1,1), then it automatically isn't a function.  Another simple way to find out if something is a function is to graph and try the vertical line test.  If the line passes through multiple points on it's way down, then it's not a function.

Hope that helps!!!! :)

write the equivalent fractions for 4/9 and 10/11 using the least common denominator

Answers

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

Answer:

Step-by-step explanation:

4/9 = 8/18 or 36/81

10/11= 20/22 or 30/33

Simplify the expression 4 to the 3 power and 4 to the negative 6 power fractions

Answers

Answer:

Step-by-step explanation:

4³/4⁻⁶ = 4³⋅4⁶ = 4³⁺⁶ = 4⁹

ANSWER QUICKLY PLEASE : Eight times the square root of a number is
subtracted from four times the square of the
number.

Answers

Answer:

I don't know what you're answer is supposed to look like but if you're creating an equation it should be this...

Step-by-step explanation:

( 4 · √x ) - ( 8 · √x )

Other Questions
4. What "sea" does Mildred swim in nightly? Which ancient civilization was based off of trade?(2 points)MaliNubianMayaEgypt According to the Article, why was openly participating in the protest difficult for many of the women who worked with Gilmore? Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedAThey did not have the same professional cooking experience or skills that Gilmore had. BThey might anger White employers or landlords and risk losing their jobs or homes. CThey could not use vehicles that would allow them to get to where they needed to go. DThey might be asked to provide testimony on behalf of protesters who were arrested. GIVING BRAINLYYY JUST NEED TO DOUBLE CHECK What is the area of the trapezoid?9 cm8 cm17 cm Geomtry homework please help Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd What is the difference between what Lincoln calls "a government proper" and "an association of states in the nature of a contract merely" I NEED THE HELP ASAP 7TH GRADE PLS How many offspring do your animal products in one season?Giraffe 6th grade math help me pleaseee Q 10. Raj purchased the following items from the grocery shop :5 kg wheat = Rs. 38.50 per kg3 coconuts = Rs. 30 per piece1 Dettol bottle = Rs. 52.25 per bottleThe shopkeeper asked him to pay = Rs. 324.75Raj was very good at calculation.He found some mistake in the shopkeeper's calculations.Can' you find the mistake ?Is the amount demanded by the shopkeeper for the item purchased righWhat is wrong ? Write the answer with reasons ( show the calculationWhat do you think , how does Raj react in this situation ? A factory makes rods by cutting plastic pipes that are 5 feet long into 8 rods.How long is each rod? how were U.S. and soviet goals different after WW2 ? Oh Kageyama Father Has Something To Tell You! It's Good For Once. *Sparkly Blink Blink* Find the perimeter of this figure. Can less biodiverse areas survive ? The radius of a circle is 3 m. Find its area to the nearest tenth.The radius of a circle is 3 ft. Find its area to the nearest tenth. Briefly describe the economy of the early civilizations of Latin America. Include details like currency, products, supply and demand, etc. What is the genetic makeup of the different types of sperm that an Aa father can produce?