All categories

3 years ago

Question in photo 1, answer choices in photo 2. thanks.

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

The correct answer for the question shown in the figure attached is the third option, which is shown below:
BC/YZ=6/3
You have that, by the SSS similarity theorem, two triangles are similar if they have corresponding sides with equal ratios, this means the following:
AB/XY=BC/YZ=AC/XZ
4/2=6/3=√52/√13
2=2=2

You might be interested in

12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.

Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: $\frac{6842.50}{17.50}$ [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you do know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: $\frac{1}{17.50}$ . We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: $\frac{x}{6842.50}$ . Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

$\frac{1}{17.50}$ $\frac{x}{6842.50}$

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0

2 years ago

you have $895 in your checking account and write checks for $669, plus take $100 in cash out of your account. How much do you ha

Scilla [17]

To answer this we just need to set up a equation:-

895 - 669 - 100 = 126.

SO, after these transactions you will have $126 left.

Hope I helped ya!!

7 0

2 years ago

Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).

nata0808 [166]

Answer:

18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

The length of AC is:

AC = $\sqrt{6^2+6^2} = 6\sqrt{2}$

The length of BD is:

BD = $\sqrt{3^2 + 3^2} = 3\sqrt{2}$

The area is:

A = 1/2bh
A = 1/2 * $6\sqrt{2} *3\sqrt{2}$ = 18 unit²

4 0

2 years ago

Read 2 more answers

In Marta's class, the ratio of students who ate tacos for lunch to the students who ate burritos was 12:18.

boyakko [2]

Answer:

20 30

Step-by-step explanation:

gsjsjdhdjdjdjfjfjfh

3 0

2 years ago

Maria y juan deben realizar el mapamundi en medio pliego de cartulina para la tarea de sociales pero cada uno tiene un cuarto de

kondor19780726 [428]

Answer:

Cuando María afirma que si unen sus dos cuartos de cartulina obtendrán el medio pliego que necesitan, esto es:

Verdadero.

Step-by-step explanation:

Para entender mejor el ejercicio vamos a utilizar números cada vez que se habla de cantidades de cartulina, por lo tanto, María y Juan tienen 1/4 de cartulina cada uno, es decir, 1/4 * 2, y necesitan 1/2 pliego para poder realizar su tarea, por lo tanto, con la afirmación de María sobre unir los dos cuartos de cartulina, en caso de que sea verdadero, ocurrirá que la suma de los dos cuartos dará el medio pliego, como se muestra a continuación:

Total de cartulina de María y Juan = $\frac{1}{4}+\frac{1}{4}$
Total de cartulina de María y Juan = $\frac{4+4}{16}$
Total de cartulina de María y Juan = $\frac{8}{16}$

Procedemos a simplificar el fraccionario obtenido, sacando mitad tanto en el numerador como en el denominador:

Total de cartulina de María y Juan = $\frac{4}{8}$
Total de cartulina de María y Juan = $\frac{2}{4}$
Total de cartulina de María y Juan = $\frac{1}{2}$

Como puedes ver al final, la cantidad de cartulina de ambos, al ser sumada, da como resultado el 1/2 (medio) pliego que necesitan para su tarea de sociales, por lo cual la afirmación de María es correcta.

3 0

2 years ago