Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.

Could the hypotenuses of these two triangles lie along the same line?

(A) No, because they are not similar triangles
(B) No, because one is larger than the other
(C) Yes, because they are both right triangles
(D) Yes, because they are similar triangles

Answers

Answer 1

Answer:

Consider two right triangles: 1. ΔABC with vertices A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (vertical leg), AC=6 units (horizontal leg).2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).The equation of the line BC is Check whether points Y and Z lie on this line:Y(6,0):  - true;Z(36,-10):  - true.Answer:  the hypotenuses of these two triangles could lie along the same line


Related Questions

an infinite number of ratios are equivalent to 3:8 how can that be possible when the multiplication table only goes to 9?​

Answers

Answer:

The multiplication table does not have to end at factors of 9. You can multiply 3 and 8 by any factor to form an equivalent ratio.

Step-by-step explanation:

The ratio that is equivalent to 3/8 is 9/24.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

To determine an infinite number of ratios that are equivalent to 3/8, multiply by a ratio equivalent to 1

A ratio equivalent to 1 is a ratio such as 2/2 and 3/3.

This multiplication is equivalent to multiplying by 1.

So the ratio does not change.

One example is to multiply 3/8 by 2/2.

3/8 and 6/16 have the same ratio, 3:8.

Divide each numerator by each denominator.

⇒ 3÷8

⇒ 0.375

⇒ 6÷16

⇒ 0.375

It will also generate the same outcome if you divide each numerator by each denominator.

Hence, the ratio that is equivalent to 3/8 is 9/24.

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7(5t - 4) – (2 +15t) < 60

Answers

Answer:

Step-by-step explanation:

What is the distance between the points (2,7) and (-2,7)

Answers

0 is the correct answer i dont know anything

The 8th grade soccer team has a budget of $650. Soccer cleats cost $40, shin guards cost $20, and the uniform cost $15. If each player must have cleats, shin guards, and a uniform, how many players will the budget cover? Explain how you knew this.

Answers

Answer:

the answer is 8

Step-by-step explanation:

Add 40+20+15

once you do that you get 75. You then take 650 and divide by 75.

In result you get 8.66666666666 repeated.

So you can only have 8 players.

Answer:

8 players will get all these items.

Step-by-step explanation:

The 8th grade soccer team has a budget of $650.

Soccer cleats cost $40, shin guards cost $20, and the uniform cost $15.

And all these are required by all players.

So, total cost per player = [tex]40+20+15=75[/tex] dollars

And total money the team has = $650

So, the number of players that will be covered from this budget is =

[tex]\frac{650}{75}[/tex] = 8.66 (rounded to 8)

So, a total of 8 players will get all these items.

Note: If we round this to 9, then the budget will exceed to [tex]9\times75=675[/tex] dollars

Seventeen less than eight times a number is equal to 11 more than six times the number.
What is the number? ​

Answers

Answer:

the answer is 14

Step-by-step-explanation

the first equation is 8x-17

the second one is 6x+11

do some simple calculations to find x on both and compare.

Answer:

its 14

Step-by-step explanation:

the first equation is 8x-17

the second one is 6x+11

do some simple calculations to find x on both and compare.

just did it on a Quiz i hop this helped :D

Identify the x-intercept.

1) y= 1/5x + 3

2) y= 6x - 7

3) y= -8/3x + 9

Answers

1) 1/5x + 3=0

1/5x=-3

x=(-3)(5)=-15

2)6x-7=0

6x=7

x=7/6=1.17

3) -8/3x+9=0

-8/3x=-9

-8x=-27

x=27/8=3.375
1) x=5y-15
2)x=1/6y+7/6
3) x=3/8y-27/8

at 2 P.M the level of the water in the pool was 10 feet. At 6 P.M the level of water was 2 feet. Find the constant rate of change of the water.

Answers

decreases by 2ft every hour

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

The area of the figure is 48 cm^2

Step-by-step explanation:

Break it into 3 different quadrilaterals and find the area of each one.

After a snow storm, michael measured 6 7/8 inches of snow. What is this amount as a decimal????? URGENTTTTT!!

Answers

Answer:

The answer is 6.875 inches.

Step-by-step explanation:

After a snow storm, Michael measured [tex]6\frac{7}{8}[/tex] inches of snow.

We will convert this to improper fraction and then solve.

[tex]6\frac{7}{8}=\frac{55}{8}[/tex]

Now we can divide 55 by 8 to get decimal value.

This becomes 6.875 inches.

Please help. Answer with method please, thanks a lot ​

Answers

Answer:

62.83 m²

Step-by-step explanation:

The area of the path is calculated as

area of outside circle - area of reservoir

= πr₁² - πr₂²

where r₁ is the radius of the outer circle and r₂ the radius of the reservoir

diameter of reservoir = 8 m, hence radius = 4 m

radius of outer circle = radius of reservoir + width of path = 4 + 2 = 6 m, thus

area of path = π × 6² - π × 4² = 36π - 16π = 20π ≈ 62.83 m²

21. (4pts) Please answer in a complete sentence in Spanish.
¿Te gusta jugar videojuegos?


22. (4pts) Please write your answer in a complete sentence in Spanish using the vocabulary from your course. List at least 2 activities from our course to answer the question.
¿Qué te gusta hacer?


23. (4pts) Answer the following question in a complete sentence in Spanish. List at least 2 activities from our course to answer the question.
¿Qué no te gusta hacer?


24. (4pts) Using your course vocabulary what are two ways to agree with someone in Spanish? Hint: These are the ways to say “Me too” and “Me either” in Spanish.



25. (4pts) Answer the following question in a complete sentence in Spanish.
¿Qué te gusta más, esquiar o nadar?

Answers

Final answer:

This answer provides complete sentences in Spanish to answer the questions, along with examples of activities and ways to agree in Spanish.

Explanation:

21. Sí, me gusta jugar videojuegos. (Yes, I like playing video games.)

22. Me gusta leer y practicar deportes. (I like reading and practicing sports.)

23. No me gusta hacer ejercicio y estudiar matemáticas. (I don't like exercising and studying math.)

24. Dos formas de estar de acuerdo en español son: 1) A mí también, 2) Yo tampoco. (Two ways to agree in Spanish are: 1) Me too, 2) Me either.)

25. Me gusta más nadar que esquiar. (I like swimming more than skiing.)

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Susan is planning a vacation. The travel agent says the average high temperature at the resort is 10 degrees Celsius. What is the equivalent Fahrenheit temperature

Answers

Answer:

50° F

Step-by-step explanation:

To convert C° to F°, Multiply the celcius temperature by 9/5, then add 32 to it.

10 x 9/5 = 18

18 + 32 = 50


Fill in the blanks to make the statement true
2t - t +4= 0
Solving this equation will result in a [quadratic/linear]
equation that
[Can/cannot]
be solved by factoring.​

Answers

Answer:

[tex]2t-t+4=0[/tex] gives me [tex]t=-4[/tex]

This is a linear equation.

Did you really mean [tex]2t-t+4=0[/tex]? I just want to make sure since you said something about a quadratic in your question.

Step-by-step explanation:

[tex]2t-t+4=0[/tex] can be simplified to [tex]t+4=0[/tex].

This is a linear equation since the exponent on all the variables we have is 1.

To solve [tex]t+4=0[/tex] for t we are going to subtract 4 on both sides:

[tex]t+4-4=0-4[/tex]

[tex]t=-4[/tex]

The Lcm of two numbers is a square number

Answers

Answer:

12

Step-by-step explanation:

The LCM of the two numbers is composite. The LCM of two numbers is a square number. The GCF of two numbers is a square number. The GCF of two numbers is 12.

ASAPP!!

Solve the inequality.
-2(w+4)+9<-11

Answers

Answer:

It is 6 from what I believe.

Pls help :) it would mean a lot

Answers

Answer:

17=3x+2            x=5  

Step-by-step explanation:

3x+2=17

3x=17-2

x=15/3

x=5

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What’s 8/15 divided by 4/5

Answers

Answer: 2/3

Step-by-step explanation: In this problem, we have 8/15 ÷ 4/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

8/15 ÷ 4/5 can be rewritten as 8/15 × 5/4

Now, we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.

8/15 × 5/4 = 40/60 = 2/3

what is the answer to this product 7 6/7 plus 14/21

Answers

Answer:

Exact Form: 179/21

Decimal Form: 8.523809

Mixed Number Form: 8 11/21

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

The Cooking Club made some pies to sell
at a basketball game to raise money for the
new math books. The cafeteria
contributed three pies to the sale. Each
pie was then cut into five pieces and sold.
There were a total of 40 pieces to sell.
How many pies did the club make?

Answers

The club made 5 pies. If each pie is cut into 5 slices, and there are now 40 slices after the cafeteria donated, divide 40 by 5, which is 8. Subtract the 3 that the cafeteria donated.

Division the action of separating something into the parts. It is a basic mathematics operation. The number of pies made by the cooking club to sell  at a basketball game to raise money for the  new math books is 2.

Given-

The cafeteria  contributed three pies to the sale.

Each  pie was then cut into five pieces and sold.

There were a total of 40 pieces to sell.

What is division?

Division the action of separating something into the parts. It is a basic mathematics operation.

Total 40 pieces are there to sell. Each  pie was cut into five pieces. Hence the total pie in 40 pieces were,

[tex]=\dfrac{40}{8}[/tex]

[tex]=5[/tex]

Thus total 5 pies was made.

Now as the cafeteria contributed three pies to the sale but we have total 5 pieces was made. For find out the number of pies made by the cooking club we have to subtract the total pies made to the pies contributed by the cafeteria.Thus the number of pies made by the cooking club,

[tex]=5-3[/tex]

[tex]=2[/tex]

Hence the number of pies made by the cooking club  to sell  at a basketball game to raise money for the  new math books is 2.

Learn more about the division here;

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What is the product? -4 x [8 -1 -5 9]

Answers

To obtain the product, each element in the expression [tex]\([8, -1, -5, 9]\)[/tex] is multiplied by -4, resulting in [tex]\([-32, 4, 20, -36]\).[/tex]

To find the product of -4 and the expression [tex]\([8, -1, -5, 9]\),[/tex] we multiply each element in the expression by -4.

This involves multiplying -4 by 8, -1, -5, and 9 individually.

The result of these multiplications is [tex]\([-32, 4, 20, -36]\).[/tex]

In other words, each element in the original expression is multiplied by -4 to obtain the corresponding element in the product.

This operation is a scalar multiplication, where a single number (in this case, -4) is multiplied by each element of a vector or array.

Scalar multiplication is a fundamental operation in linear algebra and is used to scale vectors or matrices by a constant factor.

In this context, multiplying the expression by -4 changes the magnitude of each element by a factor of 4 while preserving their relative positions within the array.

Two planes , which are 2445 miles apart fly toward each other. Their speed differ by 65mph. If they pass each other in 3 hours , what is the speed of each?

Answers

The speed of each planes are 375 mph and 415 mph.

What is an expression?

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

Now,

Let x be the speed of the slower plane, in mph.

Then, the speed of the other plane is x +40 mph.

Hence, The distance between two planes decreases at the rate;

⇒ x + (x+40)

⇒ 2x + 40 mph.

So, we can write equation as;

⇒ 3950 / (2x+40) =  5

⇒ 3950 = 10x + 200

⇒ 10x = 3750

⇒ x = 375

Thus, The speed of the slower plane = x

                                                         = 375  mph.

And, The speed of the other plane = x +40

                                                      = 375 + 40

                                                      = 415 mph.

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Final answer:

To solve the problem, we use the concept of relative speed and set up an equation with the combined distance traveled by both planes. Solving the equation reveals that the speed of the slower plane is 375 mph and the faster plane is 440 mph.

Explanation:

The problem of two planes flying toward each other with a speed difference and meeting after a certain amount of time is a typical algebra question in relative speed and motion. We can let the slower plane's speed be x mph and the faster plane's speed be x + 65 mph. Since they meet after 3 hours and are 2445 miles apart, the sum of their distances traveled will equal 2445 miles.

Using the equation d = rt, where d denotes distance, r the rate, and t the time, we set up two expressions for the distances each plane travels:

Distance by slower plane: 3xDistance by faster plane: 3(x + 65)

We then add these expressions and set the sum equal to the total distance:

3x + 3(x + 65) = 2445

Solving for x, we get:

6x + 195 = 2445

6x = 2445 - 195

6x = 2250

x = 375

Therefore, the speed of the slower plane is 375 mph and the speed of the faster plane is 375 + 65 = 440 mph.

48 less than 4 times a number is equal to the number

Answers

Answer:

Step-by-step explanation:

4x - 48 = x there is the equation

Answer:

x = 48/5

Step-by-step explanation:

Let x = number, then:

[tex]48 - 4x = x[/tex]

By adding 4x on each side:

[tex] 48 - 4x + 4x = x + 4x[/tex], which is [tex] 48 = 5x [/tex]

Then, divide by 5 on both sides:

[tex]\frac{48}{5} = \frac{5x}{5}[/tex]

Simplifying x = 48 / 5

solve for c: E=mc^2

Answers

E=mc²
E/m = c²
c = sqrtE/m

Answer: E=mc^2

E/m=c^2

Square root of e/m = c

C = square root symbol e/m

Yw :)

What is the sum of 12 and 34

Answers

12+34 = 46

Please mark Brainliest if this helps!

Sum: the total of 2 or more numbers added together

12 + 34 = 46

A four-pack of paper towels costs $3.72. What is the cost per roll of paper towels?

Answers

divide 3.72 by 4 bc it’s a four pack to find the cost per roll as $0.93
Final answer:

To find the cost per roll of a four-pack of paper towels priced at $3.72, divide the total cost by the number of rolls in the pack, resulting in a cost per roll of $0.93.

Explanation:

To calculate the cost per roll of paper towels when a four-pack costs $3.72, you simply divide the total price by the number of paper towels in the pack.

This calculation will reveal the unit price, which is a common concept in basic arithmetic and is frequently encountered in real-life shopping scenarios where quantity discounts are involved.

Here's the step-by-step calculation:

Total cost of the four-pack: $3.72Number of rolls in the four-pack: 4Cost per roll = Total cost ÷ Number of rolls = $3.72 ÷ 4 = $0.93

Therefore, the cost per roll of paper towels is $0.93.

math help owo pls will reword #_# pleath

Answers

Question 13: The answer is D

Question 7: The answer is C

Question 14: The answer is B

And the question for the last Pic, the correct graph is B.

Answer:

d

c

b

b

Step-by-step explanation:

how do you find the slope of the line that passes through the points (0,0) and (2,4)

Answers

To find the slope of a line that passes through the points (0,0) and (2,4), you need to find the rise over run, or the change in y over the change in x. To do this, you need to take both the y values and subtract one from the other, so in this case, subtract 4 from 0. This is your change in y, also known as the rise of your slope. Next you do the same for your x values, in this case you would subtract 2 from 0. This becomes your change in x, also known as the run of your slope.  ( I included step by step equations below)

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{0-2}[/tex] = [tex]\frac{-4}{-2}[/tex]

When you simplify your answer you get a slope of 2.

Hope this helps!

#43. find (e). also please explain it.

Answers

Square root of SZ. Because you multiply by z on each side. Giving you sz=e^2. Then you take the square root giving you sqrt(sz)=e

1. Laura gave the clerk $20 for purchases of a
$4.25 notebook and a $3.59 set of markers.
How much change did she receive?
A $12.16
B $12.26
© $13.16
D $13.26​

Answers

Answer:

A

Step-by-step explanation:

1. 3.59 + 4.25 =7.84

2. 20.00 - 7.84 =12.16

What is the y-intercept of y=5?

Answers

The y-intercept of the line y = 5 is given as: 5

How to find the y-intercept?

The general form of the equation of the line in slope intercept form is expressed as:

y = mx + c

where:

m is slope

c is y-intercept

Now, we are told that the equation is y = 5

This tells us that the y-intercept is 5

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