The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other

Answer:

lines are perpendicular

Step-by-step explanation:

• Parallel lines have equal slopes

• The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form and extract the slope

3x - 2y = - 6 ( subtract 3x from both sides )

- 2y = - 3x - 6 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

----------------------------------

4x + 6y = 2 ( subtract 4x from both sides )

6y = - 4x + 2 ( divide through by 6 )

y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

--------------------------------------

[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel

[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1

Thus the lines are perpendicular to each other

Answer:

Step-by-step explanation:

p = 10x + 2 + 7x - 6 + 8x

p = 25x - 4

Answer:

perimeter = 10x + 2 + 7x - 6 + 8x

= 25x - 4...ans

Step-by-step explanation:

Answer:

[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Step-by-step explanation:

Average speed = distance/time

Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour

Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Answer:

x=16.9+34.6

x=51.5

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

- BRAINLIEST answerer

Answer:

First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

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Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

Answer:

I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.

Answer:

Diagram B

Step-by-step explanation:

A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

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Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

__

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Answer:

676.09

Step-by-step explanation:

550.87 + 75.98 = 626.85

626.85 - 34.88 = 591.97

591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

Answer:

It will be 780

Step-by-step explanation:

explanation is that I multiply 65$ by 12

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

I think it 2 solution to the problem you can add or multiple

We want to see if the first selection is dependent on the second selection, we will see that no, the first selection can not depend on a selection that did not happen yet.

So the situation is:

We have a group of puppies, some are black, some are white.

Let's say that there are N puppies in total, n₁ are black, n₂ are white, such that:

n₁ + n₂ = N

Now we have that the first selection, event A, is a black puppy. The probability is just the quotient between the number of black puppies and the total number of puppies:

q = n₁/N

Then now we have:

Now for the second selection, event B, the probability of selecting a white puppy is:

P = n₂/(N - 1)

Notice that because there are fewer black puppies than before (because we took one) the denominator decreases, thus, the probability of getting a white puppy increases.

So clearly event B depends on event A.

Now the question is:

Is A dependent on B?

No, A can not depend on event B, because event A happens first. The probability of the first event is always q = n₁/N.

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Answer: 486 glasses of water in 9 weeks

Step-by-step explanation:

54 X 9 = 486

Or you could add 54 to itself 9 times then you will get 486

Answer:

New eq: 11x + 1. The line will become steeper.

Step-by-step explanation:

Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.

Answer:

12

Step-by-step explanation:

[tex]1/3(3)(12)[/tex]

The 1/3 and 3 cancel and you are left with

[tex]12[/tex]

Answer:

$56.29

Step-by-step explanation:

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation: