Now, determine whether the relationship between the two triangles you found in the first task is true for any two triangles. For any line, if you draw two right triangles using the line as the hypotenuse, can the triangles be congruent? Why or why not? Do they have to be congruent? Why or why not?

Answer:

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

Your answer would be 133.

Answer:

It’s perpendicular

Step-by-step explanation:

If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

lines AB and CD are perpendicular to each other

This is all about getting the slope of a line between two coordinates.

The formula for the slope in this case is;

m = (y2 - y1)/(x2 - x1)

We are given coordinates of A and B as;

A(9, 2) and B(-1, 8)

Thus;

m = (8 - 2)/(-1 - 9)

m = 6/-10

m_ab = -6/10 = -3/5

For coordinates of C and D, we have;

C(-5, 16) and D(-8, 11)

Thus;

m_cd = (11 - 16)/(-8 - (-5))

m_cd = -5/-3 = 5/3

For the slopes to be parallel, they have to be equal but for the slopes to be perpendicular, one of them would have to be negative inverse of the other.

We see that; m_cd = 5/3 is same as -1/(m_ab) = -1/(-3/5) = 5/3

Thus, lines AB and CD are perpendicular to each other.

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Answer:

-3x+10=5x-8

so basically its like grouping.

so answer is

8x=18?

Step-by-step explanation:

sorry if incorrect

Answer:

x=2.25

Step-by-step explanation:

three -x make -3x and 10 +1s make +10 and 5 xs make 5x and 8 -1s make -8

which makes

-3x+10=5x-8

just solve

18=8x

2.25=x

Given :

Plan A will cost $2.00 per song. Plan B will require a $15 joining fee and $1.49 per song.

To Find :

When will Plan A be a less expensive option for Aubrey? When will Plan B be a less expensive option for Aubrey?

Solution :

Let, after x songs Plan A will be less expensive.

So,

2x < 15 + 1.49x

0.01x < 15

x < 29.41 i.e x < 30

Before, 30 songs Plan A will be less expensive.

After, 30 songs Plan B will be less expensive.

Hence, this is the required solution.

Answer:

5 is c 9 is f

Answer:

b

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Well basically i took 19 1/4 and divided it by 1 3/4 and there for i got 11. YOUR WELCOME.

There are 11 pieces of ribbon doe Nadya have.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Nadya has 19 1/4 yards of ribbon she cuts ribbon into pieces that measure 1 3/4.

Now, We can find the number of pieces as;

⇒ 19 1/4 ÷ 1 3/4

⇒ 77/4 ÷ 7/4

⇒ 77/4 × 4/7

⇒ 77/7

⇒ 11

Therefore, There are 11 pieces of ribbon doe Nadya have.

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Answer:

182.88cm

Step-by-step explanation:

multiply the length value by 30.48

Answer: 1mph

Step-by-step explanation:

She s running 1 mile per hour because that's what it says in the problem.

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15     Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Answer:

The "if" part is the hypothesis.

The "then" part is the conclusion.

Hypothesis: an animal is a poodle

Conclusion: it is a dog

The length of the model car is 2 feet

Paul's car is 16 feet long. To create a model of his car that is 1/8 the actual size, we need to determine the length of the scaled-down model.

To find the length of the model, we multiply the length of the actual car by the scaling factor of 1/8.

Length of the model = Length of the actual car * Scaling factor

Length of the model = 16 feet * (1/8)

Length of the model = 16 feet * 1/8

Length of the model = 16/8 feet

Length of the model = 2 feet

Therefore, the length of the model car is 2 feet. The model car is 1/8 the size of the actual car, so it measures 2 feet in length.

This scaled-down model allows Paul to create a representation of his car that is much smaller and more manageable while maintaining the same proportions as the original car.

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Answer:

h(3) = 2

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

To find h(3) substitute x = 3 into h(x), that is

h(3) = | 5(3) - 17 | = | 15 - 17 | = | - 2 | = 2

Answer:

15 times larger than b

Step-by-step explanation:

=3×10^-2/2×10^-3

=15×10^-1×10^+1

=15

Answer:

2x^2 -x - 2 + (3/x-2)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The reason is all u do is 12 +1=13 aka 1pm then 30 +50=80 making the time 2:20

Answer:

Your answer is: There is a mistake in Beth's answer the mistake was that she multiplied the area of the original triangle by the scale factor.

Step-by-step explanation:

Hope this helped : )

Answer:

the answers is -10. I hope this helps you out

The solution to the inequality 3(x-4) ≥ 5x + 2 is when x = -10

Therefore, the correct answer is Option A. -10

Given data:

The inequality relation is represented as 3(x-4) ≥ 5x + 2

On simplifying the equation:

From the distributive property:

3x - 12 ≥ 5x + 2

Adding 12 on both sides:

3x ≥ 14 + 5x

Subtracting 5x on both sides:

-2x ≥ 14

Divide by -2 on both sides:

x ≤ -7

The inequality relation changes when the operand is -1.

So, the values of x should be less than -7

Hence, the solution is when x = -10, the inequality satisfies.

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The complete question is attached below:

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

–10

–5

5

10

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ok! So you want to find slope! First, you will need two points which you already have. Next, you will want to plot those two points on a graph. Once, you have that you can draw a straight line between the two points and until the end of the graph. After that, you want to find the rise/run or rise over run. Rise meaning up or down and run meaning left or right. Sometimes your problem will want you to keep the rise/run format and sometimes your problem will ask for a who number in which case you will divide your rise/run (rise ÷ run). How to find the rise over run you ask, simple! Draw a line-up or down from your first (or second) point whichever works, until you reach the y-value of your second (or first) point one your two points are connected, count the rise (up or down) and then the run (left or right). If your run goes left its a negative, right a positive. If your rise goes up its a positive, down a negative.

Boom! You know how to find slope!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

(8,−5)

Step-by-step explanation:

===============================================

Work Shown:

Let x = w-2

This will allow us to replace the (w-2) with x to get...

(w-2)(w+5)

x(w+5)

x*w + x*5 ... distribute

w(x) + 5(x)

Now replace x with w-2 and distribute again

w(x) + 5(x)

w(w-2) + 5(w-2)

w*w + w*(-2) + 5*w + 5*(-2)

w^2 - 2w + 5w - 10

w^2 + 3w - 10

Answer:

0,1

Step-by-step explanation:

i believe that’s the answer sorry if it’s incorrect

Answer:

[tex]h(g(x))=x^2+x-2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

The composite function can be found by substituting g into f.

We are given these functions:

[tex]f(x)=9-x[/tex]

[tex]g(x)=x^2+x[/tex]

[tex]h(x)=x-2[/tex]

Find:

a) h(g(x))

Substituting g into h:

[tex]h(g(x))=x^2+x-2[/tex]

b) h(g(f(x))

First we find g(f(x)):

[tex]g(f(x))=(9-x)^2+(9-x)[/tex]

Operating:

[tex]g(f(x))=81-18x+x^2+9-x[/tex]

Simplifying:

[tex]g(f(x))=90-19x+x^2[/tex]

Now find h(g(f(x)) replacing the above equation into h:

[tex]h(g(f(x))= 90-19x+x^2-2[/tex]

Simplifying and rearranging:

[tex]h(g(f(x))= 88-19x+x^2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Answer:1/r7+1 over 8 and 12

Step-by-step explanation:

The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

r Superscript negative 7 Baseline + s Superscript negative 12

⇒ r ⁻⁷ + s ⁻¹²

Now, We can simplify the expression as;

⇒ r ⁻⁷ + s ⁻¹²

⇒ 1 / r⁷ + 1 / s ¹²

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

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Answer:

12

Step-by-step explanation:

the ruler measured 12

Answer: x=2, y=-2

Step-by-step explanation:

1) I will find x first, so make the amount of Ys same

   3(5x+2y=6)

   2(4x-3y=14)

2) 15x+6y=18

    8x-6y=28

3) combine them together so Ys are all cancelled and 23x=46

4) x=2

5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14

6) 8-3y=14

7) -3y=6

8) y=-2