+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.

Answer:

7

Step-by-step explanation:

ΔABM and ΔDCM

4x - 1 = 3x + 6

4x - 3x = 6 + 1

x = 7

Answer:

C. 7

Step-by-step explanation:

Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).

Given

BM = 3x+6

MC =4x-1

Since both triangles are congruent, then BM = MC

Next is to get x;

3x+6 = 4x-1

collect like terms'

3x-4x = -1-6

-x = -7

multiply through by -1

-(-x) = -(-7)

x = 7

Hence the value of x that will make triangles ABM and DCM congruent is 7

Answer:

On the screenshot (y=x+10)

Step-by-step explanation:

Have a great day!

Answer:

The distribution is approximately normal with mean = 2.8 and standard error = 0.4

Step-by-step explanation:

We are given;

Mean; μ = 2.8

Standard deviation; σ = 4

Sample size; n = 100

Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)

The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.

Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4

Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4

Answer:

Multiplying and factoring are similar as they both deal with what make up a number. Factors are multiplied to become numbers, and numbers are multiplied to become multiples.

Answer:

a) 840 different ways

b) 35 different choices of books

Step-by-step explanation:

We know that our literature class will read a total of 4 novels this year.

All novels chosen by class vote from a list of 7 possible books offered by the teacher.

Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :

[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]

Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :

[tex](7).(6).(5).(4)=840[/tex] (I)

Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.

Continuing with the idea, we deduce the equation (I).

For item b) :

Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.

We define the combinatorial number as :

[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]

Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :

[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]

a) 840 different ways

b) 35 different choices of books

Answer:

72 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

Answer:

P = 2(l + w)

P = 2l + 2w

I cannot see the text. If you take another picture zoomed in I will answer it.

Answer:

The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%

The Measure of <FBA is 62 degree.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.

Given:

m∠FBE=(4x+2)° and m∠EBD=(5x−13)°

as, FB bisects <EBA

So, <EBF = <FBA

and,  EB bisects <FBD

So, <FBE= <EBD

4x+ 2 = 5x -13

x= 15

So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62

Learn more about Linear Pair here:

https://brainly.com/question/17525542

#SPJ2

Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder

Answer:

-6.3 degrees

Step-by-step explanation:

First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.

Answer:

if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Standard form :

[tex]2,300,000[/tex]

_________________________________

Science notation :

[tex]2.3 \times {10}^{6} [/tex]

_________________________________

Science E notation :

[tex]2.3 \: E6[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Gracie eats 120 more.

Step-by-step explanation:

i know that 160 - 40 = 120

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

Answer:

have a good night!

Step-by-step explanation:

[tex]AB = \sqrt{ {x}^{2} + y {}^{2} } [/tex]

[tex]AB = \sqrt{ {2}^{2} + {5}^{2} } [/tex]

[tex]AB = \sqrt{4 + 25} [/tex]

[tex]AB = \sqrt{29} [/tex]

Answer:

1. 1/2, 2. 2, 3. 1/-3, 4. -2

Step-by-step explanation:

1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.

2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.

3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.

4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.

Just always remember y2-y1/x2-x1=m is the equation for slope.

(m is the variable for slope)

Hoped this helped you : )

Answer:

10 spiders

18 grasshoppers

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

Answer:

I think it is 7.86.

Step-by-step explanation:

You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.

If this helped please feel free to click the thanks button below. Thank you! :-D

Answer:

La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²

Step-by-step explanation:

La información dada son;

La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34

La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12

Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;

3·x - 4·y = 34

4·y = 34 - 3·x

y = 34/4 - 3/4·x = 8.5 - 3/4·x

Primera tangente

y = 8.5 - 3/4·x

3·y = 12 - 4·x

y = 12/3 - 4/3·x = 4 - 4/3·x

Segunda tangente

y = 4 - 4/3·x

La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;

La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3

La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)

y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3

Por tanto, la ecuación del primer radio es;

y = 4/3·x - 43/3

La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4

La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)

y = 3/4×(x - 3) = 3/4·x - 9/4

Por tanto, la ecuación del segundo radio es;

y = 3/4·x - 9/4

Los dos radios se encuentran en el centro dado como sigue;

4/3·x - 43/3 = 3/4·x - 9/4

4/3·x - 3/4·x  = 43/3 - 9/4

7/12·x = 145/12

x = 145/12

y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16

Las coordenadas del centro = (h, k) = (145/12, 109/16)

La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48

La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;

(x - 145/12)² + (y - 109/16)² = (545/48)².

Answer:

9x-9

Step-by-step explanation:

9 and a product of a number is 9x, and less 9 is 9x-9.

Hope this helps :D

Answer: 19 is my answer 19 is left over

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation: