Prove that triangle Bad is congruent to triangle ABC​

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)

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.

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

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

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

●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.”

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?

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

Solve for X if D = -9

3 + 6x · 5d = ?

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

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%

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?

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

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

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.)

What is integration of 3x^2

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

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

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

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

PLEASE HELP I WILL MARK YOU BRAINIEST

Choose the number equal to:

2/3÷(-3).

A) -2

B)-2/9

C)2/9

D)2


​

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

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

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

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

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).

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

HELP ME Which One Doesn’t Belong?

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

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

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?