help please

Determine whether the triangles are congruent. If​ so, name the postulate or theorem that justifies your answer. If​ not, explain.

Are the triangles congruent or not​ congruent? If they​ are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.

Help PleaseDetermine Whether The Triangles Are Congruent. If So, Name The Postulate Or Theorem That Justifies

Answers

Answer 1
The answer is D. The triangles are congruent by SAS Postulate
Answer 2

The triangles are congruent by the SAS Postulate.

What are congruent triangles?

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2


Related Questions

Would a graph with a slope of 0 and a y intercept of 4 be proportional or not proportional?

Answers

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Answer:

  not proportional

Step-by-step explanation:

If the y-intercept is not zero, the graph does NOT show a proportional relationship. A y-intercept of 4 means the relation is not proportional.

Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn

Answers

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.

Answers

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

its all in the picture

Answers

Answer:

6

Step-by-step explanation:

..............................

Answer:

f(- 3) = 6

Step-by-step explanation:

f(- 3) means what is the value of f(x) when x = - 3

Locate x = - 3 on the x- axis

Then go vertically up to meet the graph at (- 3, 6 )

The value of f(- 3) is therefore 6, that is

f(- 3) = 6

Can someone help me with letter D?

Answers

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

If QS and TƯ
are parallel lines and
m 55°, what is m

Answers

Answer:

m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.

hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)

Step-by-step explanation:

ASAP can someone help and explain this to me

Answers

Answer:

[tex]d = 15.0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point C (7, -4)

Point D (-8, -5)

Step 2: Find distance d

Substitute [DF]:                    [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents:                           [tex]d = \sqrt{225+1}[/tex]Add:                                      [tex]d = \sqrt{226}[/tex]Evaluate:                              [tex]d = 15.0333[/tex]Round:                                 [tex]d = 15.0[/tex]

Complete the proof that AFGH isn't similar to AJIH.

Answers

Sides FH and HJ are not congruent

what is the answer to the question?​

Answers

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form​

Answers

Answer:

The equation of the parabola  ( y +3)² = 4 ( x-3)

Step-by-step explanation:

Step(i):-

we know that the focus of the parabola (h + a , k ) and directrix is   x = h - a

Given

 focus of the parabola (h + a , k ) = ( 4, -3 )

  Equating                h + a =4 ..(i)

                              and k =-3

Given directrix is   x = 2

                          h - a =2 ..(ii)

Adding (i) and (ii) equations , we get

                   h + a + h-a = 4+2

                      2 h = 6

                         h =3

   substitute h=3 in equation (i)

                h + a =4

               3 + a =4

                  a = 1

The length of Latus rectum 4a = 4(1) =4

Step(ii):-

The vertex ( h, k) = ( 3 , -3) and a = 1>0

Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis

The equation of the parabola

( y - k )² = 4 a ( x - h )

( y - (-3))²= 4(1) ( x - 3 )

The equation of the parabola  ( y +3)² = 4 ( x-3)

                             

5. Which expression is equivalent to x2 - 17 x - 60?

Answers

15x-60
this is the answer

What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work

Answers

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(4x - 5) - 4x + 1 = -6

Step 2: Solve for x

Distribute 3:                    12x - 15 - 4x + 1 = -6Combine like terms:       8x - 14 = -6Isolate x term:                 8x = 8Isolate x:                          x = 1

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(4(1) - 5) - 4(1) + 1 = -6Multiply:                               3(4 - 5) - 4 + 1 = -6Subtract:                              3(-1) - 4 + 1 = -6Multiply:                               -3 - 4 + 1 = -6Subtract:                              -7 + 1 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

40 plus 40 minus 20 times 0 plus 3 plus 125 equals what

Answers

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Answer:

  208

Step-by-step explanation:

The order of operations requires that the multiplication be done before addition or subtraction.

  40 + 40 - 20×0 + 3 + 125

  = 40 + 40 - 0 + 3 + 125

  = 80 - 0 + 3 + 125

  = 80 + 3 + 125

  = 83 + 125

  = 208

__

The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)

Answer:

208

40 plus 40 minus 20 times 0 plus 125 in written form:

40 + 40 - 20 × 0 + 3 + 125

In order to get our answer 208, we must do it step by step:

First, we need to put 40 plus 40 into an equation:

40 + 40 = 80

Now that we have 80, we need to find 20 times 0:

20 x 0 = 0

Since 20 times 0 equals 0, we can now add 80 plus 3:

80 + 3 = 83

Now what we have left is to add 83 plus 125 which will give us our answer:

83 + 125 = 208!

The answer will be 208.

            Hope this helps!

     ~Hocus Pocus

 

The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)

Answers

Answer:

Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5

Step-by-step explanation:

Answer:

The answer is A or (-3,1),(-3,5),(0,5)

Step-by-step explanation:

I guessed on E d g e (2021) and got it right :)

Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85

Answers

Answer:

[tex]x = 4[/tex]

[tex]y = -5[/tex]

Step-by-step explanation:

Given

[tex]-10x^2+80x+y=155[/tex]

[tex]5x^2-40x+y=-85[/tex]

Required

Solve by substitution

Make y the subject in [tex]5x^2-40x+y=-85[/tex]

[tex]5x^2-40x+y=-85[/tex]

[tex]y = -5x^2 + 40x - 85[/tex]

Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation

[tex]-10x^2+80x+y=155[/tex]

[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]

Collect Like Terms

[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]

[tex]-15x^2 + 120x-240=0[/tex]

Divide through by -15

[tex]x^2 -8x + 16 = 0[/tex]

[tex]x^2 - 4x - 4x + 16 = 0[/tex]

[tex]x(x - 4) - 4(x - 4) = 0[/tex]

[tex](x - 4)(x - 4) = 0[/tex]

[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]

[tex]x = 4[/tex] or [tex]x = 4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]

[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]

[tex]y = -5*16 + 40 * 4 - 85[/tex]

[tex]y = -80 + 160 - 85[/tex]

[tex]y = -5[/tex]

Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later. Mel then shared the remaining portion among himself and 2 friends. What fraction of the whole quesadilla did each person get?

Answers

Answer:

1/3

Step-by-step explanation:

Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later.

Let the whole portion of the quesadilla be represented as 10/10 = 1

The amount of quesadilla Mel left

= 1 - 1/10

= 9/10

Mel then shared the remaining portion among himself and 2 friends.

The amount if each portion that Mel and his friends got is calculated as:

9/10 ÷ 3 friends

= 9/10 × 1/3

= 3/10

Mel and his friends got 3/10 of the remaining quesadilla.

The fraction of the whole quesadilla(10/10) did each person get is calculated as:

10/10 × 3/10/9/10

= 3/10 ÷ 9/10

= 3/10 × 10/9

= 1/3

1 y=8x + 5
Linear or non-linear

2 y= -x + 5

3 y=0.75x - 2

4 y = -2x exponent 2 + 1

Thanks for the help with this stander mastery

Answers

all are linear except the 4th one

Please help me! Thank you so much!

Answers

Answer: It's (A) 12<X

Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!

what is the answer to -4-8×+2-15

Answers

-25x because you negative four then subtract 8x then add 2 then subtract 18 then equals to -25x

The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas

Answers

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1=  2πr1h1

CAS1=  2*3.142*3*1

CAS1=  18.852

CAS2=  2πr2h2

CAS2=  2*3.142*4*2

CAS1=  50.272

The ratio of their curved surface areas

=18.852:50.272

in the recent year, 51.9 billion cans were recycled. About how many cans per this week

Answers

998076923.077 per week

Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

Answers

Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

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Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3

I need to know this ASAP please! What is 2/3x + 1/3x?

Answers

Answer:

x

Step-by-step explanation:

2/3x+1/3x=x

Answer:

1

Step-by-step explanation:

2/3x + 1/3x

2+1/3x

3/3x

=x

one x value is 1

Dan earns £367 over the course of a five day week. How much is that per day?

Answers

Five days = £367
One day = 367/5

Answer: £73.40

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?

Answers

Answer:

Solution in photo

Step-by-step explanation:

A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section

Answers

Answer:

56 ft^2

Step-by-step explanation:

What is the approximate value of sin C?
B
13.93
5
A
13
12
O A. 0.93
OB. 0.36
O C. 2.79
D. 0.38

Answers

Answer: 0.36

Step-by-step explanation:

Ap3x

-18 > -2(2x + 9) - 4+x​

Answers

Answer:

x>-4/3 last answer i got i hope it is helpful have a nice day

Which company has the highest charge per attendee?

Answers

Step-by-step explanation:

As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.

So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.

pls help meeeeeeeeee

Answers

1. C 2.E 3.A 4.F 5.D 6.B
Question 2- 1.< 2.< 3.>= 4.< 5.>= 6.>
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