Find the value of the variable(s). (9x + 12) 3x (4y

If two triangles are congruent, which of the following statements must be true? Check all that apply.

zimovet [89]

Congruent means the two figures have the same size, shape, and angles. All of the answers are correct.

7 0

4 years ago

You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%.

Leona [35]

The tax itself is $1.47

You can calculate that by adding up all four items. You should get $24.50. Then, you multiply 24.50 by 6%. When multiplying 24.50 and 6%, make sure you multiply (24.50)(0.06) and not (24.50)(0.6).

The total cost of the items after tax is $23.03 just in case you needed that. Just subtract

24.50 - 1.47

8 0

3 years ago

Read 2 more answers

4x + 5y = 102 7y + 5y = 126

galina1969 [7]

Answer:

hope you like my question

Step-by-step explanation:

Hi -

What you want to do here is solve the equation by substitution.

To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.

1) Solve either equation for y. Lets go with the first one:

4x+5y=102

Subtract 4x from each side:

5y=102-4x

Divide both sides by 5

y=(102-4x)/5

2) Plug this value for y into the other equation we started with:

7x+5y = 126

7x + 5((102-4x)/5) = 126

3) Solve the resulting equation for x.

Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out

7x + 5((102-4x)/5) = 126

7x + 102 - 4x = 126

Combine the 2 x terms:

3x+102=126

subtract 102 from each side:

3x = 24

Divide both sides by 3:

x=8

Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.

4x + 5y = 102; if x = 8

32+5y = 102

subtract 32 from each side:

5y = 70

Divide both sides by 5:

y = 14

So x = 8 and y = 14.

You can check your work by plugging these numbers both into your 2 initial equations.

4x+5y=102; 4*8+5*14 = 102

7x+5y=126; 7*8 +5*14 = 126

3 0

3 years ago

Consider the graph above. Write about a situation that could be modeled using this graph. In your response, use the prompts belo

Vikentia [17]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for graph

Required

A situation that can be modeled by the graph.

The prompt and the response are as follows:

The type of function:

It is a linear function

The variables modeled in the function

The variables are x and y

The domain and the range

From the graph, we can see that x and y values are not limited to any constraints.

So, the domain and the range are:

$Domain: \{-\infty \le x \le \infty \}$

$Range: \{-\infty \le y \le \infty \}$

Question that could be $answered$

The graph could be used to predict y value, given the x value.

Take for instance, find y when x = 10

The answer can be handpicked directly from the graph. However, the best way is to calculate the graph equation, first.

So, we have:

Pick any two points on the line of the graph

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,4)$

Calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4 - 0}{0 - -2}$

$m = \frac{4}{2}$

$m =2$

The equation of the graph is:

$y = m(x - x_1) + y_1\\$

So, we have:

$y = 2(x - -2) + 0$

$y = 2(x +2)$

Expand

$y = 2x +4$

To solve for y when x = 10;

$y = 2 * 10 +4$

$y = 20 +4$

$y = 24$

5 0

3 years ago

URGENT!!!!!

Shtirlitz [24]

Answer:

x = 23

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

7 0

3 years ago

Read 2 more answers

Find the value of the variable(s). (9x + 12) 3x (4y - 10)​

Find the value of the variable(s). (9x + 12) 3x (4y - 10)