What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

What Other Information Do You Need In Order To Prove The Triangles Congruent Using The SAS Congruence

Answers

Answer 1

Answer:

Step-by-step explanation:

AC is perpendicular to BD.

Further explanation

   We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.

   The length of the base of the triangle is the same, i.e., .

   In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

   ∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

   ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

   ∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.

   no, because already marked.

- - - - - - - - - -

Notes

   The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

   The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

   The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

   The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

   Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

   Which shows two triangles that are congruent by AAS brainly.com/question/3767125

About vertical and supplementary angles brainly.com/question/13096411


Related Questions


A box of crisps contains 48 packets. How many packets will there be in 263 boxes

Answers

Answer:

12624 packets

Step-by-step explanation:

To solve this let the unknown number of packets be x.

        1 box ⇒ 48 packets

263 boxes ⇒ x

Now let us use cross multiplication to find the value of x.

1 × x = 48 × 263

1x     = 12624

Divide both sides by 1.

x = 12624

Make a number line and mark the points that represent the following values of x. X ≤ 1 2/3 and x <- 3/4

Answers

Answer:

can't you do Russian math homework on your own

Step-by-step explanation:

How many times greater than 6 x 10^6 is 2.4 x 10^8 ? Show ur work

Answers

Answer:

you think about it. if you dont do the work yourself u wont ever learn.

Step-by-step explanation:

6x10^6=6,000,000

2.4x10^8=240,000,000

Please help me I’m lost

Answers

We are given with an equation and need to find it's solution set also we are given with a condition that m ≠ {0, 1} . So , let's start ;

So we are given with :

[tex]{:\implies \quad \sf \dfrac{6}{m}+2=\dfrac{m+3}{m-1}}[/tex]

First , we will simplify the given Equation and then we will solve it . So , now taking LCM in LHS ;

[tex]{:\implies \quad \sf \dfrac{6+2m}{m}=\dfrac{m+3}{m-1}}[/tex]

Now , Cross Multiplying ;

[tex]{:\implies \quad \sf (m-1)(6+2m)=m(m+3)}[/tex]

[tex]{:\implies \quad \sf m(6+2m)-1(6+2m)=m^{2}+3m}[/tex]

[tex]{:\implies \quad \sf 6m+2m^{2}-6-2m=m^{2}+3m}[/tex]

Now , transposing whole RHS to LHS and collecting like terms ;

[tex]{:\implies \quad \sf (2m^{2}-m^{2})+(6m-2m-3m)-6=0}[/tex]

[tex]{:\implies \quad \sf m^{2}+m-6=0}[/tex]

Now , we will solve this by splitting the Middle term ;

[tex]{:\implies \quad \sf m^{2}+3m-2m-6=0}[/tex]

[tex]{:\implies \quad \sf m(m+3)-2(m+3)=0}[/tex]

[tex]{:\implies \quad \sf (m+3)(m-2)=0}[/tex]

So , now either , m+3 = 0 or m-2 = 0 . On simplification we will get , m = 2 , -3. So m = {-3, 2}

Hence Option 1) {-3, 2} is correct

if p= 6-2y, work out p when y=-5

Answers

You should change the y by the number given
P=6-2*-5
P=16

Answer:

the answer is so you need takes Away -5

PLS HELP!! NO LINKS!! WILL MARK YOU BRAINLIEST!!

Answers

Answer:

  (d)  -11

Step-by-step explanation:

The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)

  65° +(36 +x)° = 90°

  x = 90 -101 . . . . . . . . divide by °, subtract 101

  x = -11

Please this is URGENT!!!!!! need it in the next 5 mins!!!!!!!
Please be my life saver and help me out!

Angelica uses a coordinate plane to make a map of her neighborhood. The point at (4, 3) represents the location of her house, and the point at (10, 8) to represent the location of the gas station. She wants to drive to the gas station using the straight line shown below. Use what you know about right triangles to find out how far she will drive. Each unit on the graph represents 1 mile.

In this answer, give the length of the straight line shown on the graph, and explain how you calculated it.

Answers

Answer:

distance: 7.81 miles

Explanation:

simply use distance formula:  [tex]\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}[/tex]

coordinates: (4, 3), (10, 8)

using the equation:

[tex]\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}[/tex]

[tex]\hookrightarrow \sf \sqrt{(5)^2+(6)^2}[/tex]

[tex]\hookrightarrow \sf \sqrt{25+36}[/tex]

[tex]\hookrightarrow \sf \sqrt{61}[/tex]

[tex]\hookrightarrow \sf 7.81 \ miles[/tex]

How can I know if I have to divide or multiply in a problem?

Answers

Word problems requiring multiplication will commonly use key words such as:
of
times/multiplied by
product of
twice, triple, etc.
each ("they got three each", etc.)

On the other hand, word problems requiring division will commonly use key words such as:

per
out of
ratio of/quotient of
percent (divide by 100)
pieces/split
average

Hope this helped!

Express the area of the following figure as a monomial.

Answers

It's a rectangle

Length=x^5Breadth=x^2

Area:-

Length×Breadthx^5(x^2)x^5+2x^7

2+3×=2×+3 ---> ×=1


Help please

Answers

Answer It's gonna have to be i think mabey also 12

Helena has taken out a $9,300 unsubsidized stafford loan to pay for her college education. she plans to graduate in four years. the loan has a duration of ten years and an interest rate of 6.4%, compounded monthly. by the time helena graduates, how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization? round all dollar values to the nearest cent. a. $238.46 b. $496.00 c. $595.20 d. $324.33

Answers

Answer:

$324.33

Step-by-step explanation:

the answer is $324.33

The amount of interest capitalized is greater than the minimum amount that she could pay to prevent interest capitalization by; D: $324.33

What is the minimum Principal?

We will use the formula: A = P(1 + r/n)^(nt)

Where:

A = final amount

P = initial principal ($9300)

r = interest rate (6.4% or 0.064)

n = number of times interest applied per time period

t = number of time period elapsed.

Thus;

9300(1 + 0.064/12)^(12*4) - 9300 = $2705.13

Also;

9300(0.064/12) * 4 * 12 = $2380.8

Answer = $2705.13 - $2380.8

Answer = $324.33

Read more about Principal amount at; https://brainly.com/question/25545513

Find the measure of each marked angle.

What is top left and what is bottom right equivalent to!?

And brainliest shall be given.

Answers

I wound let me type it the answers 60

1, 6, 13, 22, 33, 46, 61 what comes next???????

Answers

Answer:

76

its going by 15's so you add 15

>> Question

1, 6, 13, 22, 33, 46, 61 what comes next??

>> Answer :

1, 6, 13, 22, 33, 46, 61, 78, 97, 118, 141, 166

= +5 , +7, +9 , +11, +13, +15, +17, +19, +21, +23, +25

Step-by-step explanation:

I Hope This Helps

A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.



a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?

Answers

Answer:

a) Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

b) Given:

a = (x - 3)b = xc = 15

Substituting these values into the equation and rearranging:

⇒ (x - 3)² + x² = 15²

⇒ x² - 6x + 9 + x² = 225

2x² - 6x - 216 = 0

c) Solve  2x² - 6x - 216 = 0  by factorizing:

2x² - 6x - 216 = 0

⇒ x² - 3x - 108 = 0

⇒ x² - 12x + 9x - 108 = 0

⇒ x(x - 12) + 9(x - 12) = 0

⇒ (x - 12)(x + 9) = 0

⇒ x - 12 = 0 ⇒ x = 12

⇒ x + 9 = 0 ⇒ x = -9

As distance is positive, x = 12 only.

Therefore, the height of the pole is 12 ft.

So the distance from the hook to the base = 12 - 3 = 9 ft

We need x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow 15^2-x^2=(x-3)^2[/tex]

[tex]\\ \rm\Rrightarrow 225-x^2=x^2-6x+9[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-6x-216=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-3x-108=0[/tex]

[tex]\\ \rm\Rrightarrow (x+9)(x-12)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-9,12[/tex]

Distance must be positive so x=12

In the data set (0,-1);(-2,4);(-4,-8);(-1,5);(2,1);(-1,2)},which point is a possible outlier?

Answers

que dijiste buenas noches

I answered this in your other posting, but would appreciate a brainliest. It’s basically
(-4,-8) that is the outlier.

Solve 3x^2-4x-1=0
Can someone please explain to me how it went from 4 +/- the square root of 28 to 4 +/- 2 multiplied by the square root of 7.

Answers

square root of 28 is 2√7

√28 = √4 * √7 = 2√7

A line has a slope of 110 and passes through the point (5,10). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions

Answers

Answer:

y - 10 = 110 ( x - 5)

explanation :

i)

[tex]\sf point \ slope \ form : \bold{y-y_{1}=m\left(x-x_{1}\right)}[/tex]

y - 10 = 110 ( x - 5)

ii)

y = 110x -540 10 = 110(5) - 54010 = 550 - 54010 = 10

Answer:

[tex]y=110x-540[/tex]

Step-by-step explanation:

Point-slope form of a linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

Given:

[tex]\textsf{slope } (m) = 110[/tex][tex](x_1,y_1)=(5,10)[/tex]

Substitute these values into the equation:

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

[tex]y-10=110(x-5)[/tex]

[tex]y-10=110x-550[/tex]

[tex]y=110x-540[/tex]

Round 4,276 to the nearest hundred.

Answers

When rounding a number such as 4276 to the nearest hundred, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 4276 rounded to the nearest hundred is:

4300

1 and 2 are complementary angles. The measure of 1 is 83 . The measure of 2 is 7x-1 . Find the value of x.

Answers

Answer: 8/7

Step-by-step explanation:

What equations go where? One solution, no solution, infinite solution. Picture attached of problem. Plsss
Help

Answers

Answer:

see below

Step-by-step explanation:

1. x-9=-17-simplifies to a single solution-one solution

2.x+4=4+x-same thing on each side-infinite solutions

3. 0.4x=0.4x+2-same variable coefficient plus a number-no solutions

4. 5x=5x-3-same as above-no solutions

5. 5x=2-variable on one side, constant on another-one solution

6. x-5=x-5-same thing on each side-infinite solutions

7.3x=3x-same thing as above-infinite solutions

8.8x-10=8x-same coefficient for each variable plus a constant-no solutions

Answer:

One solution:

x + 9 = -17

5x = 10

No solution:

0.4x = 0.4x +2

5x = 5x - 3

8x - 10 = 8x

Infinite solutions:

x + 4 = 4 + x

x - 5 = x - 5

3x = 3x

Step-by-step explanation:

x + 9 = -17

  - 9     -9

x = -26 (one solution)

x + 4 = 4 + x

  - 4   - 4

x = x (infinite solutions)

0.4x = 0.4x +2

-0.4x  -0.4x

0 = 2 (no solution)

5x = 5x - 3

-5x  -5x

0 = -3 (no solution)

5x = 10

/5   /5

x = 5 (one solution)

x - 5 = x - 5

 + 5       + 5

x = x (infinite solutions)

3x = 3x (infinite solutions)

8x - 10 = 8x

    + 10  + 10

8x = 8x + 10

-8x   -8x

0 = 10 (no solution)

Hope this helps!

On a coordinate plane, a line X Y has points (negative 2, 4) and (3, negative 2).
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply.
(–4, –2)
(–2, 1)
(–2, –2)
(2, 4)
(3, 4)

Answers

Answers:Choice C.  (-2, -2)Choice E. (3, 4)

=====================================================

Explanation:

The x coordinate of (-2,4) is -2

The y coordinate of (3,-2) is -2

Joining those two up gets us (-2,-2) as one of the answers

--------------

The x coordinate of (3,-2) is 3

The y coordinate of (-2,4) is 4

This leads to the other answer (3,4)

Check out the diagram below.

The answer points are marked in red.

Answer:

C. (–2, –2) and E. (3, 4)

Step-by-step explanation:

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.
• 1515 of the dogs are puppies.
• 1111 of the dogs are not puppies and have long hair.
• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

Answers

The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

What is the information missing?

To complete the chart it is necessary to determine:

Number of dogs that are not puppies.Number of puppies with and without long hairNumber of adult dogs without long hair

Number of dogs that are not puppies:

32 (total dogs) - 15 (puppies) = 17 dogs

Adult dogs without long hair:

17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs

Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

Learn more about dogs in: https://brainly.com/question/8565422

The number of blocks in a two-dimensional pyramid is a sequence that follows a recursive formula. What is a recursive definition for the sequence?

Answers

Answer:

A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference , d , you can find the (n+1)th term using the recursive formula an+1=an+d .

What is 2. 4% written as a decimal?0. 240. 240. 242. 4

Answers

Answer: 0.024

Step-by-step explanation:

percents are out of 100 so 2.4% divided by 100 = the decimal. 2.4/100 = 0.024

2. Which of the following represents a function? 5 points A. {(9, 15), (0, 0), (4, 0), (9, 2)} B. {(2, 5), (-2, 0), (1, -8), (2, 2)} C. {(3, 7), (4, 7), (5, 7), (6, 7)} D. {(3, 3), (-1, 4), (3, -2), (5, 4)

Answers

Answer:

C

Step-by-step explanation:

Each input value can have only one output value for it to be a function. In other words, there should only be one y value for each x value. The only option that satisfies this is C.

Question 12. Is the one I need help on

Answers

Four Answers:

Choice AChoice CChoice DChoice J

====================================================

Explanation:

A rational number is any fraction of two whole numbers.

Examples: 7/9 and -8/12

This can be extended to some numbers like [tex]\sqrt{49}[/tex] because

[tex]\sqrt{49} = \sqrt{7^2} = 7 = \frac{7}{1}[/tex]

As you can see, any whole number is also rational but not the other way around.

So far, these examples help show that choices A, C, D, and J are rational numbers. Choice D might need a bit of rewriting like so:

[tex]\frac{0.5}{8} = 0.5 \div 8\\\\ = \frac{1}{2} \div \frac{1}{8} \\\\= \frac{1}{2} \times \frac{8}{1}\\\\ = \frac{8}{2}\\\\ = 4[/tex]

In short, the expression for choice D simplifies to 4 = 4/1 showing that is rational. Or you can use the shortcut that rational/rational = rational.

------------------

A number like [tex]\sqrt{13}[/tex] is NOT rational because the 13 is not a perfect square. There's no way to rewrite that square root as a ratio or fraction of integers. This allows us to rule out choice B. Choices E, F, and G are eliminated for similar reasoning.

Choice H is ruled out because circle areas involve pi = 3.14159... which is famously an irrational number. The proof of which is very lengthy to go over, but the short version is the decimal digits go on forever without a pattern. This is an informal way to check if we have an irrational number.

Choice I is only eliminated if and only if the side lengths of the square are rational, and also when the side lengths are whole numbers. Its not clear what your teacher's intentions here are, but I'll assume this is the case.

------------------

To summarize, we eliminated B, E, F, G, H, I

We're left with A, C, D, J as the final answers. They either can be written as fractions of integers, or already are fractions of integers.

125 people work at a hotel, 12% work in the kitchen. How many
people work in the kitchen?

Answers

Step-by-step explanation:

12% of 125

or is ×

12% × 125

12% as a decimal

do you know what 12% is as a decimal comment below

Answer:

15

Step-by-step explanation:

12% of 125 is 15

The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. find its area​

Answers

Given :

The sides of a triangular plot are in the ratio 3 : 5 : 7 .Its perimeter is 300 m.

To Find :

Its area.

Solution :

Let us assume the sides in metres be 3x, 5x and 7x .

Then, We know,

[tex] \qquad \sf \dashrightarrow \: 3x + 5x + 7x = 300 \: \: \: \: \: \: \: Perimeter_{(Triangle)}[/tex]

[tex]\qquad \sf \dashrightarrow \: 15x = 300 [/tex]

[tex]\qquad \sf \dashrightarrow \: x = \dfrac{300}{15} [/tex]

[tex]\qquad \bf\dashrightarrow \: x = 20 [/tex]

So, The sides of the triangle are :

[tex]\qquad \sf \dashrightarrow \: 3 \times 20 \: m = \bf60 \: m [/tex]

[tex]\qquad \sf \dashrightarrow \: 5 \times 20 \: m = \bf 100 \: m [/tex]

[tex]\qquad \sf \dashrightarrow \: 7 \times 20 \: m = \bf140 \: m [/tex]

Now, Using Heron's formula :

We have,

[tex]\qquad \sf \dashrightarrow \: s = ( {60 + 100 + 140}) \: m = 300 \: m [/tex]

[tex]\qquad \sf \dashrightarrow \: s = \dfrac {60 + 100 + 140}2 \: m = 150 \: m [/tex]

And the Area will be :

[tex]\qquad \sf \dashrightarrow \: \sqrt{150(150 - 60)(150 - 100)(150 - 140)} \: {m}^{2} [/tex]

[tex]\qquad \sf \dashrightarrow \: \sqrt{150 \times 90 \times 50 \times 10} \: \: {m}^{2} [/tex]

[tex] \qquad \sf \dashrightarrow \: 1500 \sqrt{3} \: {m}^{2} [/tex]

Answer:

2598m²

Step-by-step explanation:

Figure :

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\put(5,1){$\bf 3x $}\put(2.5, - .5){$\bf 7x $}\put(.5,1){$\bf 5x $}\put(4.5,4){$\bf not \: to \: scale \: $}\end{picture} [/tex]

Here we are given that the ratio of sides of a triangular plot is 3:5:7 and its perimeter is 300m . We are interested in finding the area of the rectangle . Firstly , let us take the given ratio's HCF be x , then we may write the ratio as ,

[tex]\longrightarrow 3x : 5x : 7x [/tex]

According to the question ,

[tex]\longrightarrow 3x + 5x + 7x = 300m \\ [/tex]

[tex]\longrightarrow 15x = 300m\\ [/tex]

[tex]\longrightarrow x =\dfrac{300m}{15}\\ [/tex]

[tex]\longrightarrow x = 20m [/tex]

Therefore , the sides will be ,

[tex]\longrightarrow 3x = 3(20m) = \red{60m}\\ [/tex]

[tex]\longrightarrow 5x =5(20m)= \red{100m}\\ [/tex]

[tex]\longrightarrow 7x =7(20m)=\red{140m}[/tex]

Now we may use Heron's Formula to find out the area of triangle as ,

Heron's Formula :-

If three sides of a ∆ is a , b , c then the area is given by [tex]\sqrt{ s(s-a)(s-b)(s-c)}[/tex] , where s is the semi perimeter .

Here ,

[tex]\longrightarrow s =\dfrac{300m}{2}=150m [/tex]

Therefore ,

[tex]\longrightarrow Area =\sqrt{ 150(150-60)(150-100)(150-140)}m^2\\ [/tex]

[tex]\longrightarrow Area =\sqrt{ 150 \times 90 \times 50 \times 10}m^2\\ [/tex]

[tex]\longrightarrow Area = \sqrt{ 50^2 \times 30^2\times 3}m^2\\[/tex]

[tex]\longrightarrow Area = 50\times 30 \times 1.732 m^2\\[/tex]

[tex]\longrightarrow\underline{\underline{ Area = 2598m^2}} [/tex]

And we are done !

What is the slope of the line perpendicular to x= 3?
A) 0
B) Undefined
C) 3
D) -1/3

Answers

Answer:

A) 0

Step-by-step explanation:

x = 3 is a vertical line.

A line perpendicular to x = 3 is a horizontal line.

A horizontal line has slope = 0.

What type of solid is shown?

Answers

Answer:

x^2-x^2=BC4

oh yeaa u know im right

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