Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?

Given That ADCBCD, ACCD And BDCD, Which Of The Following Proves That ACDBDC?
Given That ADCBCD, ACCD And BDCD, Which Of The Following Proves That ACDBDC?
Given That ADCBCD, ACCD And BDCD, Which Of The Following Proves That ACDBDC?

Answers

Answer 1

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

Answer 2

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

To learn more about Congruent triangles  refer,

https://brainly.com/question/2938476

#SPJ2


Related Questions

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
3.23%
3.33%
37.2%
35.5%

Answers

Answer:3.33%

easy

Step-by-step explanation:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

Drag all of the steps necessary into the box to find the product of 2.7 x 6.4 using partial products.
2.0 X 6.0 = 12
2.0 x 4.0 = 8
2.0 x 0.4 = 0.8
0.7 x 0.6 = 0.42
0.7 x 6.0 = 4.2
0.7 X 4.0 = 2.8
0.7 X 0.4 = 0.28

Answers

Answer:

2.0 x 6.0 = 12

2.0 x 0.4 = 0. 8

0.7 x 6.0 = 4.2

0.7 x 0.4= 0.28

Step-by-step explanation:

The product of 2.7 x 6.4 = 17.28

If you add all those up in the answer I provided, they too equal 17.28.

Answer:

the correct answer is... 2

.

0

×

0

.

4

=

0

.

8

0

.

7

×

6

.

0

=

4

.

2

0

.

7

×

0

.

4

=

0

.

28

2

.

0

×

6

.

0

=

12

Step-by-step explanation:

Factor completely 3xy - 3x – 2y + 2

Answers

Answer:

Step-by-step explanation:

[tex]3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2[/tex]

珠ɪᴢᴜᴍɪᴿᴬᴳᴱ

help me pls asap!!!!!

Answers

The 4 pack , 1 pack =0.51

The 9 pack, 1 pack = 0.52

The 4 pack is better because it's cheaper

sas, sss, aas, or not enough information

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given triangles are congruent by :

ASA criterion

because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

Write an expression for each of the following:

a. the sum of 6 and z

b. the difference between 20 and x

c. 8 less than the quotient of x divided by 6

d. x increased by 5 divided by 4

Answers

Answer:

6 + z

20 - x

x/6 - 8

5x/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a.6+z

b.22-x

c.8-x÷6

d.x+15÷4

What is the slope of the line that passes through (-4, 5) and (2, -3)?

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

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

Step-by-step explanation:

Use the Slope formula...

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m[/tex]

Plug the slope into the Point-Slope formula...

[tex]y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}[/tex]

PLEASE HELPP!! Type an equation for the
following pattern. Make sure
the fraction is in simplest form.

Answers

Answer:

y = -3/2x + 10.5

Step-by-step explanation:

You can plug in the x values and you'll get the y values of the table. Hope this helps :)

Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?

Answers

Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source

WILL GIVE BRAINLIEST. determine the rule for the table and complete it.

Answers

Answer:

see explanation

Step-by-step explanation:

From the table

1 → - 2 ⇒ 1 - 3

2 → - 1 ⇒ 2 - 3

3 → 0 ⇒ 3 - 3

The rule is subtract 3 from the input to obtain output , then

4 → 4 - 3 = 1

n → n - 3 ← is the general rule for the table

the cost of plastering the wall of a room which is 4m high and breadth is one third of its length is Rs 640 at the rate of Rs 5/ meter square. What will be the cost of carpeting its floor at rate of rs 250/ meter square.

Answers

Answer:

Step-by-step explanation:

Please refer to the attachement. I defined the height (H), width (W), and length (L) and set:

H = 4m and W = (1/3)L. The total cost of 640 Rs/m^2 is divided by the rate cost of Rs 5/m^2 to give 128 m^2 that was plastered. The total area of the walls must be 128 m^2, so then calculate the total wall area: The walls for the length are 2*LH and for the width are 2*WH. Substituting, we have a total of 8*L + (4/3)L = 128 m^2. Solve for L to obtain L = 12m. W is 1/3L, or 4m. The room is (W,L,H) 4, 12, and 4 meters. The floor is W*L, or 48m^2. At Rs 250/m^2, the rug will cost Rs 12000. Ouch.

Identify the divisor: 2844/45=63.2

Answers

Answer:2844 is divisor of 1

2844 is divisor of 2

2844 is divisor of 3

2844 is divisor of 4

2844 is divisor of 6

2844 is divisor of 9

2844 is divisor of 12

2844 is divisor of 18

2844 is divisor of 36

2844 is divisor of 79

2844 is divisor of 158

2844 is divisor of 237

2844 is divisor of 316

2844 is divisor of 474

2844 is divisor of 711

2844 is divisor of 948

2844 is divisor of 1422

2844 has 17 positive divisors

Step-by-step explanation:

My fingers...

The linear distance around the border of a 2-dimensional shape is:

Question 12 options:

A) perimeter
B) area
C) volume
D) surface area

Answers

Answer:

A) Perimeter

Step-by-step explanation:

Answer:

A perimeter is the answer

which of the following best describes an output NEED HELP PLS

Answers

Answer:

I DO FLVS AS WELL AND I GOT THAT ONE WRONG

Step-by-step explanation:

ahhhh

The area of a rectangular field is 3400 m² and its length is 68 m. Find-
(i) its breadth.
(ii) the distance covered by a man in going 5 times around the field.​

Answers

here is the answer hope it help you

breadth is 50mDistance covered

If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180

Solve for x: x-10= -12

Answers

Answer:

x = -2

Step-by-step explanation:

Add 10 to both sides of the equation

x−10=−12

−10+10=−12+10

Simplify

Solution:

x= -2

Help help help help help help whelp

Answers

Y = -2x - 6

Use the same slope. Since the point intersects (0,-6), the y-intercept is 0.

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

Help!! Anyone? Don’t give answer that is gibberish just so you can earn points

Answers

Answer:

I am not sure but this is what I got

Step-by-step explanation:

1/3, 1/4, 2/5are the fractions. when we find the LCM= 60

the fractions become 20/60, 15/60 and 24/60

add all of them we get 59/60

total = 60/60

total -used part of cake = unused part of cake

60/60 - 59/60 = 1/60

hope it helps :) pls check if there are any mistakes

Graph the linear equation y = -2x -1

Answers

(hope this helps) :)

Step-by-step explanation: in the picture

please give me a brainliest answer

Solve.

6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19

Group of answer choices

5 plus-or-minus square root of 3

5 plus-or-minus square root of 10 over 3 end root

13 over 2

Answers

Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]

The translation of the problem given is:

[tex](x - 5)^2 + 1 = 19[/tex]

Then, solving:

[tex](x - 5)^2 = 18[/tex]

[tex]x^2 - 10x + 25 = 18[/tex]

[tex]x^2 - 10x + 7 = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:

[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]

[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]

[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]  

[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:

[tex]x_1 = 5 + 3\sqrt{2}[/tex]

[tex]x_2 = 5 - 3\sqrt{2}[/tex]

The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/13094243

Can somebody answer this?

Answers

Answer:

55

Step-by-step explanation:

20-9 = 11 then 5x11=55

5(t - 9) + 12

So then you need to use the distributive property, multiply 5 to t and 5 to -9.

Like this:

5t - 45 + 12

Then combining like terms, -45 and 12 are like terms because don’t have any letter.

5t - 33

So this it’s the answer I think that it’s correct. Hope this can help you.

Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.

Answers

Answer: He purchased 15 adult tickets and 35 child tickets.

Explanation:
a = adult tickets
c = child tickets

a + c = 50
15a + 10c = 575

The first equation can be rearranged and substituted into the second equation.

a = 50 - c
15(50 - c) + 10c = 575
750 - 15c + 10c = 575
750 - 5c = 575
-5c = -175
c = 35

The value of c can be substituted into either one of the original equations to find a.

a + c = 50
a + 35 = 50
a = 15

Check:
a + c = 50
15 + 35 = 50
50 = 50

15a + 10c = 575
15*15 + 10*35 = 575
225 + 350 = 575
575 = 575

Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?

Answers

Answer:

2

Step-by-step explanation:

find how many fourths are in a half:

1/2 = 2/4

if there's 2/4 in a half, then she filled two bottles

have a wonderful day :)

Justify each step and simplify the equation.
19+56(1/56)

Answers

Answer:

20

Step-by-step explanation:

19 + 56(1/56)

= 19 + 56 x 1/56

= 19 + 1

= 20

We use the analysis of variance rather than the t ratio when more than two groups are involved because: _________________

a. it is less time-consuming to make the necessary calculations.
b. it decreases the likelihood of making a Type I error.
c. the more statistical tests conducted, the more likely sampling error may cause statistically significant findings.
d. all of these answers are correct.

Answers

Answer: B

Explanation: I’ve taken this test before and got it right :)

What is the solution to the equation 5x-7 = V3x+5?

Answers

i am not sure but i got this

Will mark brainliest for correct answer !!! <3
(Which answer choice shows that the commutative property does not hold for
matrix multiplication?)

Answers

Answer:

C

Step-by-step explanation:

look at A and B it is false

Pleasehelp!!!!!!!!!! I'll mark Brainliest!!!!!!!!!!!!!!!!
Explain if possible!

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.

Answers

Answer:

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Input 30 as for y and solve the equation.

Step-by-step explanation:

Since y is kilometers per hour and the question is asking for how long it takes for a certain particle to reach 30 km/hr, you input 30 for y and solve for x.

-4x + y = 15

-4x + (30) = 15

subtract 30 from both sides

-4x = -15

divide -4 from both sides

x = 15/4

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Can someone please help me with this problem

Answers

Answer:

Both of them are correct.

Step-by-step explanation:

Both of them are correct.  

EQ. 1)  y = -2x + 3

EQ. 2)  6x + 3y = 9

Transform EQ. 2 into its slope-intercept form, y = mx + b:

6x + 3y = 9

6x - 6x + 3y = -6x + 9

3y = -6x + 9

3y/3 = (-6x + 9)/3

y = -2x + 3  (As you can see, Equation 2 is equivalent to Equation 1's).

Given that Equations 1 and 2 are equivalent, their lines will coincide on top of each other (as if they're the same line) once graphed.  

Therefore, the systems of linear equations will have infinitely many solutions.

Let's see why Charles and Destiny are both correct with their claims.  

If you plug in Charles' coordinates (3, -3) in both equations,

EQ. 1)  y = -2x + 3

-3 = -2(3) + 3

-3 = -6 + 3

-3 = -3  (True statement)

EQ. 2)  6x + 3y = 9

6(3) + 3(-3) = 9

18 - 9 = 9

9 = 9 (True statement)

Do the same thing for Destiny's coordinates: (-1, 5)

EQ. 1)  y = -2x + 3

5 = -2(-1) + 3

5 = 2 + 3

5 = 5 (True statement)

EQ. 2)  6x + 3y = 9

6(-1) + 3(5) = 9

-6 + 15 = 9

9 = 9  (True statement)

With these calculations, it shows that both of their coordinates are solutions to the given systems of linear equations.

Appreciate all the help :)
Which matrix multiplication is defined?

Answers

Answer:

c. BC

Step-by-step explanation:

It is the possible one

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