What additional information is needed to prove the triangles are congruent by ASA?

What Additional Information Is Needed To Prove The Triangles Are Congruent By ASA?

Answers

Answer 1

Answer:

The additional information that needed is m∠ABD = m∠CDB ⇒ C

Step-by-step explanation:

In the given figure

Triangles ADB and CBD are congruent by ASA under these conditions

m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDB

Let us see the given to find the correct answer

∵ ∠ADB and ∠CBD have the same mark

∴ m∠ADB = m∠CBD ⇒ (1) given

∵ Side DB is a common side in the two triangles

∴ DB = BD ⇒ (2) given

∵ ∠ABD and ∠CDB are the angles at the end of BD

m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA

The additional information that needed is m∠ABD = m∠CDB

Answer 2

Answer:

To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.

Step-by-step explanation:


Related Questions

Please answer this correctly without making mistakes

Answers

Answer:

50%

Step-by-step explanation:

Answer:

50 present

Step-by-step explanation:

Expand the expression
3(x-6)​

Answers

Answer:

3x-3(6) = 3x-18

Step-by-step explanation:

Hi :)

Use the distributive property to multiply 3 by x−6

= 3x−18

Hope this helps!

:)

What is the 8th term in the pattern 1,2,5,10,17

Answers

Answer:

50

Step-by-step explanation:

Solve 2(x+5) using distributive properties simplify the following expression

Answers

Answer:

Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.

The

2

multiplies to everything inside the parenthesis:

(

2

x

)

+

(

2

5

)

+

(

2

2

)

=

6

Now simplify by multiplying:

2

x

10

+

4

=

6

Combine

10

+

4

:

2

x

6

=

6

Add

6

to both sides:

2

x

6

 

+

 

6

=

6

 

+

 

6

2

x

=

12

Divide both sides by

2

2

x

2

=

12

2

x

=

6

Hope this helps!

Answer:

[tex]\huge\boxed{\sf{2x+10}}[/tex]

Step-by-step explanation:

Hello.

Please remember the formula for the Distributive Property:

a(b+c)=ab+ac, where a, b, and c can be variables (letters) or constants (numbers)

Now that we know the formula for the Distributive Property, let's distribute:

2(x+5)

2x+10

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

³√3000- ³√375 simplify​

Answers

Answer:

30√30 - 15√15

Step-by-step explanation:

I'm not 100% sure

Answer:

We can write³√3000- ³√375 as [tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]

[tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]= [tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex]

[tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex] is the simplest form of ³√3000- ³√375

What is 74 divided by 12?plz help I need this assignment done before 3:30 and it’s 2 hours until time

Answers

Answer:

6.16.

Step-by-step explanation:

hope this helps.

Answer:

37/6

Step-by-step explanation:

Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining

Answers

Answer:

3 yards

Step-by-step explanation:

8 1/2 - 2 1/2 = 6

6 - 3 = 3

Your answer is 3.

Please mark as brainliest.

6 (x – 3) = 4(x – 4) + 2 (x - 1)

Answers

Answer: Infinitely many solutions

Step-by-step explanation:  0 = 0

Many Solutions
0=0
them will help :)

Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

Answers

Answer:

If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor

Step-by-step explanation:

Using synth. div. to check whether or not 7/2 is a root:

        ___________________________

7/2   /   6    -21    -4    24    -35

                  21      0   -14     35          

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

          6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

Multiply the following binomials together :(x+1)(x+3)

Answers

Answer:

x²+4x+3

Step-by-step explanation:

(x+1)(x+3)

x²+3x+1x+3

x²+4x+3

question 9 i mark as brainliest ​

Answers

Answer:

I think the third one I'm not sure tho

Answer:95,826

Step-by-step explanation:

Find the common ratio of the geometric sequence 2,-6,18,...

Answers

Answer: -3

Step-by-step explanation:

Use the ratio r= a2/a1

So -6/2= -3

2*-3=-6

-6*-3= 18

18*-3= -54

blake ran laps around the gym

Answers

What’s the question tho

3+(-h)+(-4)where h = -7.

Answers

Answer:

6

Step-by-step explanation:

3+(-h)+(-4)

Let h = -7

3+(- -7)+(-4)

3+(7)+(-4)

10 -4

6

ALGEBRA 2

There were 350 tickets sold for the spring concert at the local high school. Adult tickets cost $4.00 each, student tickets cost $2.50 each, and senior tickets cost $2.00 each. There were 40 fewer senior tickets sold than student tickets. If a total of$1,095 was collected from tickets, write the linear systems that could be used to find the number of each type of ticket sold

Answers

Answer:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

Step-by-step explanation:

Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.

We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:

[tex]a+s+r=350[/tex]

We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:

[tex]4a+2.5s+2r=1095[/tex]

Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:

[tex]r=s-40[/tex]

So, our system of equations is:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

And we're done!

Simplify (x^2/7)^3/4

Answers

Answer:

(x^2)^(3/4)/7^(3/4)

Step-by-step explanation:

How do you do this question?

Answers

Answer:

Cartesian Equation: y = √(1 - x^2)

Graph: Second one

Step-by-step explanation:

x^2 = sin^2(θ/2),

y^2 = cos^2(θ/2),

According to that theory, by the circle equation, x^2 + y^2 = 1^2.

When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0

When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0

The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;

When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,

In Cartesian form, the equation is  y = √(1 - x^2)

A person jogs 1/5 mile in 1/40 hour. The person's speed is (blank) miles per hour

Answers

Answer:

8 miles per hour

Step-by-step explanation:

1/5 x 40 = 8

what is the opposite of the integer 62?

Answers

Answer: -62

Step-by-step explanation:

Answer:

-62 is the correct answer

What is the midpoint of P(-3,-7) and Q(3,-5)

Answers

Answer: See Screenshot

Step-by-step explanation:

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.
A.68
B.16
C.23
D.18

Answers

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.


In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the
nearest inch

Answers

Answer:

843

Step-by-step explanation:

Find the slope of the line passing
through (2,5) and (-3, -6).

Answers

Answer:

the slope of the line passing through the points (2,5) and (-3,-6) is 11/5

Step-by-step explanation:

(y2-y1)/(x2-x1)

(-6-5)/(-3-2)

-11/-5

11/5

what is the unit rate of Y= -10x

Answers

Answer:

"-10 units per unit increase in x"

Step-by-step explanation:

That "-10" is the rate of change:   "-10 units per unit increase in x."

Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36

Answers

Answer:

9.21

Step-by-step explanation:

I'm pretty sure you just add the two numbers as positive numbers :/

The required distance on the number line between the points -1.85 and 7.36 is 9.21.

Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21

Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.

Learn more about number line here:

brainly.com/question/17683084

#SPJ5

A city has a population of 38802500 people. Estimate this population to the nearest ten million

Answers

Answer:

40,000,000 or 40 million

Step-by-step explanation:

Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.

Determine the Measure of COD
Determine the measure of POT

Answers

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

In a random sample of 26 ​people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 98​% confidence interval for the population mean mu. What is the margin of error of mu​? Interpret the results.

Answers

Answer:

September 28 e release ang module to the top of the page for the first time in the world of Worcester cathedral during the period of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page

Answer:

Step-by-step explanation:

population mean is 32.9, 36.7

margin of error is 1.9

Question 5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?
A. X = -4
B. X = 1
C. Y = -4
D. Y = 1

Answers

Answer:

(A) x= -4

Step-by-step explanation:

The question requires you to find the equation of the line parallel to x=7

Line x=7 is a vertical line crossing the x-axis at x=7

A vertical line has undefined slope, no slope

However, parallel lines are those that do not meet and has the same slope. This means you should expect that the equation required should also have an undefined slope, slope of zero.

The line will pass through point (-4,1) and be a vertical line.

The equation of the line will be: x= -4

One half of a number (use x) is equal to 8 less than the same number.

Answers

Your answer is 16
1/2(16)=8-16
8= 8✅
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