Prove that triangle Bad is congruent to triangle ABC​

Prove That Triangle Bad Is Congruent To Triangle ABC

Answers

Answer 1

Answer:

Step-by-step explanation:

From the diagram,

i. To prove that; ΔBAD ≅ ΔABC

It can be inferred that;

<BAD ≅ <ABC (right angle of a triangle)

AC ≅ BD (diagonal of a rectangle)

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Therefore,

ΔBAD ≅ ΔABC (SAS, Side-Angle-Side, congruent relations)

ii. From the given rectangle,

AC = BD = diagonal

Since;

AD ≅ BC (property of the sides of a rectangle)

AB ≅ CD (property of the sides of a rectangle)

Then,

AC ≅ BD (diagonal property of a rectangle)


Related Questions

Choose the number equal to:

2/3÷(-3).

A) -2

B)-2/9

C)2/9

D)2


Answers

b. -2/9
flip the -3 and make it 1/3 and then multiply

Answer:

B) -2/9

Step-by-step explanation:

2/3 ÷ -3 = 2/3 * 1/-3

2*1 / -3*3

2/-9

-2/9

HELP................!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A

Click this link to view O*NET’s Work Activities section for Human Resources Managers. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities performed by Human Resources Managers? Check all that apply.

resolving conflicts and negotiating with others
operating vehicles, mechanized devices, or equipment
handling and moving objects
establishing and maintaining interpersonal relationships
inspecting equipment, structures, or material
communicating with supervisors, peers, or subordinates a

Answers

Answer:

resolving conflicts and negotiating with others

establishing and maintaining interpersonal relationships

communicating with supervisors, peers, or subordinates

or a,d,f

Step-by-step explanation:

To exercise, Ana goes up and down a ladder. She starts at the sixth step and walks as follows: up 3 steps, down 4 steps, up 2 steps, down 3 steps. On what step does she end up?

Answers

Answer:

step 4

Step-by-step explanation:

she's at 6 then goes up 3 which would mean she's at step 9. then she goes does 4 so subtract 9-4=5. She would be on step 5 but she decides to go up 2 so add. 5+2=7. then she goes down 3 steps so subtract. 7-3=4. she ends up at step 4.

True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).

Answers

Answer:

TRUE

Step-by-step explanation:

1.An electronic prize wheel is programmed to land on "win” 25% of the time on weekdays and 10% of the
time on weekends, and consecutive plays produce winners independently. Suppose we observe a random
sample of 50 outcomes from this machine on a weekday and 100 outcomes from this machine on a
weekend. Which of the following descritts the shape, mean, and standard deviation of the sampling
distribution of the difference in the two sample proportions?
(a) Shape = approximately normal, mean = 0.15, standard deviation = 0.07
(b) Shape = approximately normal, mean = 0.15, standard deviation = 0.05
(c) Shape = approximately normal, mean = 0.35, standard deviation = 0.07
(d) Shape = skewed right, mean = 0.35, standard deviation = 0.05
(e) Shape = skewed right, mean 0.35, standard deviation = 0.0

Answers

Answer: D

Step-by-step explanation:

The shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.

What is the standard deviation?

In statistics, the standard deviation of a random variable, data is the square root of its variance.

An electronic prize wheel is programmed to land on "win” 25% of the time on weekdays and 10% of the time on weekends, and consecutive plays produce winners independently.

A random sample of 50 outcomes from this machine on a weekday and 100 outcomes from this machine on a weekend.

[tex]P_{1} = 25%\\ =0.25\\P_{2} = 0.10\\[/tex]

[tex]n_{1} = 50\\n_{2} =100[/tex]

Let x be a random variable for weekdays

[tex]x= N[0.25, 0.25\times(1-0.25)/50]\\x = N[0.25, 0.00375][/tex]

Let y be randomly variable for weekdays

[tex]Y= N[0.10, 0.10\times(1-0.10)/100]\\Y= N[0.10, 0.0009][/tex]

Thus, the shape, mean, and standard deviation of the sampling distribution of the difference in the two sample proportions is Shape = skewed right, mean = 0.35, standard deviation = 0.05.

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+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°

Answers

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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What is integration of 3x^2

Answers

3*x^3/3+C is a good one

Identity the coterminal angle between 360° and 360° for the angle - 120°
No

Answers

answer is 240 degrees

Write the equation for the following relation.
D= {(x, y): (3,9), (5, 25), (2, 4), ...)

Answers

Don’t click that link!!

Answer:

y=x^2

Step-by-step explanation:

This question has two parts. First, answer Part 1. Then, answer Part 2.
Part 1

Which expression does NOT produce the same value for p = 2 as the expression below?

2(p – 1)
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1
Part 2

Which expression is equivalent to 2(p – 1)?
A.
p + 2 – p
B.
p – 2 + p
C.
2 + p – 2
D.
2p – 1

Answers

The answer will be a

●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”

Answers

"200" (and any subsequent words) was ignored because we limit queries to 32 words

Kate is reading 40 pages per hour.

The whole book takes 12.5 hour to complete.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the data we have (5, 200) and (5,0)

then slope= (200-0) / 5

                = 40

So, Kate is reading 40 pages per hour.

Now, to read the whole book i.e., 500 pages it takes

= 500/40

= 12.5 hours

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The width of a rectangle is 7t-4.5 feet and the length is 4.5t+9 feet. Find the perimeter of the
rectangle

Answers

Answer:

P=2L+2w

P=2(4.5t+9)+2(7t-4.5)

P=9t+18+14t-9

P=23t+9 feet

Sylvia uses 1 over 4 cup of butter for each batch of cookies she makes. Which expression shows how many cups of butter Sylvia needs for left parenthesis x right parenthesis number of batches of cookies?

Answers

Answer:

4(1/4 x)

Step-by-step explanation:

I had this question.

Couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds

Answers

Answer:

15!

Step-by-step explanation:

296-251= 45

45÷3= 15 weeks

hope this works and is correct!

Given x3/4 find a and b when changing to radical form a (square root) b

Answers

Answer:

0.9644

Step-by-step explanation:

                                                                                                                                           

(q1) Find the area of the region bounded by the graphs of y = x - 2 and y2 = 2x - 4.

Answers

the area of the region bounded by the graphs of y = x - 2 and [tex]y^2 = 2x - 4[/tex], is 0.67.  Option D

To find the area of the region bounded by the graphs of y = x - 2 and[tex]y^2 = 2x - 4,[/tex]we need to determine the points of intersection between the two graphs and then integrate the difference between the two functions within the bounds.

Let's begin by finding the points of intersection:

Setting the two equations equal to each other, we have:

x - 2 = 2x - 4

Simplifying the equation, we get:

x = 2

Substituting x = 2 into either equation, we find the corresponding y-value:

y = 2 - 2 = 0

So the points of intersection are (2, 0).

Now, we need to determine the bounds for integration. The graphs intersect at x = 2, so the region of interest lies between x = 0 and x = 2.

To find the area, we integrate the difference between the two functions within these bounds:

A = ∫[0,2] (x - 2 - √(2x - 4)) dx

We can simplify this equation as follows:

A = ∫[0,2] (x - 2 - (2x - 4)^(1/2)) dx

= ∫[0,2] (x - 2 - (2(x - 2))^(1/2)) dx

= ∫[0,2] (x - 2 - 2(x - 2)^(1/2)) dx

To evaluate this integral, we need to use numerical methods or software. Integrating the equation within the bounds gives us an area of approximately 0.67 sq. units.Therefore, the correct answer is Option D

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Which expressions are equivalent?
3x-7y and -7y+3x
3x-7y and 7y-3x
3x-7y and 3y-7x
3x-7y and -3y+7x

Answers

Answer:

first one

Step-by-step explanation:

Because the coefficient of x is 3 and coefficient of y is-7

Answer:

A

Step-by-step explanation:

The students in two English classes were asked how many minutes they read each day.

Answers

Answer:

Step-by-step explanation:

what are the answers to choose from

Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determine the percent of scores in the data set expected to be below a score of 218. Give your answer as a percent and include as many decimal places as the 68-95-99.7 rule dictates. (For example, enter 99.7 instead of 0.997.)

Answers

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%

Answers

Answer:

C gives you 90.2

Step-by-step explanation:

84+88+90+100=362

362/4=90.2

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$


(b) Find the 90th percentile for the average teacher's salary.

Answers

Answer:

they get a lot of moohlah

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRANILEST!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

Jesse has a 13.47-ounce bar of gold. He cuts 1.55 ounces off to make a piece of jewelry. How much gold is left in the bar?

Answers

Answer:

11.92 Ounces.

HELP ME Which One Doesn’t Belong?

7.9x
7.9 (-10)
7.9 + x
-79

Answers

Answer:

7.9 + x because all the others are equal to.each other

7.9 + x because the 7.9 would have to have an x factor to be added to another x. the real equation would be 7.9 • x. • representing multiplication

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00

Answers

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

x > 1/3
i’m not 100% sure but i hope it’ll help
Add 17 to both sides and you get:
3x > 1

Help pls fast ....................

Answers

Answer:

its A. 5

Step-by-step explanation:

5/10 is also known as 1/2 so 5/10 is equal to 1/2

Turma:
Autor:
Frações e a Reta Numérica
Habilidade EF05MA03: Identificar e representar frações (menores e maiores que a unidade), associando-as ao resultado de uma divisão ou à ideia de parte de um todo, utilizando a reta numérica como recurso; Habilidade EF05MA04A: Identificar diferentes escritas nas representações fracionária e decimal com o apoio em representações gráficas, identificando as frações equivalentes.
08/02/21 - 6º ano do EFII - Matemática - Frações e a reta numérica

Aprendemos em nossa aula que podemos representar os números racionais na forma fracionária e decimal e que para transformar as frações em números decimais basta que façamos a divisão do numerador (número de cima) pelo denominador (número de baixo). Desta forma, entre os números racionais abaixo, assinale o que possui menor valor:
a) 0,95
b) 5/8
c) 3/15
d) 0,35
e) 4/5

Answers

E porque ya lo use y es facil

Solve for X if D = -9

3 + 6x · 5d = ?

Answers

Answer:

3-270x

Step-by-step explanation:

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