The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

Additional comment

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

Answer:

$400,000 and $600,000

Step-by-step explanation:

2x = one sister amount

3x = the other sister amount

Total money = $1,000,000

5x = 1,000,000

 x =  1,000,000/5

 x = 200,000

2x = 2(200,000)  = $400,000

3x = 3(200,000) = $600,000

Check:  one sister amount + the other sister amount = $1, 000,000

              $400,000 + $600,000 = $1,000,000

ratio 2:3=2+3=5

so the first sisters share is

(2/5×1,000,000)

=200,000×2

=400,000.....thats the first sisters share

so....the second sister's share is

(3/5×1,000,000)

=3×200,000

=600,000.....thats the second sisters share

and to check if your answer is correct

you can add both of their shares

600,000+400,000=1,000,000.

Answer:

can u give better picture

Answer:

Remain the same.

Step-by-step explanation:

When you are translating a figure, nothing changes expect for its location. It's shape and orientation stay the same. Hope this helped, and please let me know if you have any further questions. :)

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!

Answer:

2

Step-by-step explanation:

im smart

The range of a function is the possible output values the function can have.

The range of the function is all real values except 0

The function is given as:

[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]

When the denominator of the function is 0, the function would not have a real value.

This means that:

[tex]\mathbf{y \ne 0}[/tex]

i.e. the value of y cannot be 0.

Hence, the range of the function is all real values except 0

Read more about domain and range at:

https://brainly.com/question/21853810

Step-by-step explanation: In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Answer:

B

Step-by-step explanation:

The answer is B because Figure JKML is a result of PQRS by a scale factor of 3

You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3

Step-by-step explanation:

the lcm is 9 so....

3/9+8/9

multiply both sides by their lcm which is 9...

so....

9 (3/9)+9 (8/9)

3+8=11

Answer:

can't be simplified or you can add you get the answer

[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]

ok done. Thank to me :>

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

Answer:

I'm amusing its the answer is C

Answer:

Step-by-step explanation:

25% commission equals 180.00

Total sales amount is x:

Answer: reasoning

Step-by-step explanation:

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]

Multiply both sides by 20

[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]

[tex]24 = 4x - 4[/tex]

Add both sides 4

[tex]24 + 4 = 4x - 4 + 4[/tex]

[tex]28 = 4x[/tex]

Switch sides

[tex]4x = 28[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

There you go...

Have a great day ❤

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

Answer:

The Forth Answer

Step-by-step explanation:

I Think That Is correct

Answer:

See below for answer.

Step-by-step explanation:

Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.

Step-by-step explanation:

The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).

Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.

These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:

If a is positive, and |x| = a, then:

x = a or x = -a

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

The frequency of a variable value is the number of times it appears in a particular observational series or data.

A variable's frequency is always a positive integer.

Here the heights in the condition of 5 < h ≤  10 appear as 4.

Here the heights in the condition of 10 < h ≤ 15 appear as 6.

Here the heights in the condition of 15 < h ≤ 20 appear as 5.

The required frequency table as

Heights, h cm      Frequency

0 < h ≤ 5                     5

5 < h ≤  10                   4

10 < h ≤ 15                   6

15 < h ≤ 20                  5

Thus, the required frequency table of the given observation is above.

Learn more about the frequency of an observation here:

https://brainly.com/question/5102661

#SPJ2

Answer:

the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

Answer:

-146

Step-by-step explanation:

so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows

9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146

the 32nd term would be -146

The answer is:

y=2x+3

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

Answer:

a. x=29, b. x=62

Step-by-step explanation:

a. since this is an isosceles triangle, two angles are equal. we also know that the exterior angle of one side equals the other 2 interior angles. so we have 2x=58, simplify to get x=29

b. same as a, we have x-17 + 38 = 2x-41. simplify to get x+21 = 2x-41. subtract x and add 41 to both sides to get x=62

i can't see all of 2 so i can't help you with that one sorry