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3 years ago

What is the value of X?

Mathematics

1 answer:

vodomira [7]3 years ago

3 0

Answer:

x =28

Step-by-step explanation:

We can use proportions to solve this problem, Put the side of the small triangle over the side of the large triangle.

x 42

------- = -----------

x+10 42 + 15

Simplify

x 42

------- = -----------

x+10 57

Using cross products

57*x = 42 (x+10)

Distrbute 42

57x = 42x+420

Subtract 42x from each side

57x -42x = 42x-42x+420

15x = 420

Divide by 15

15x/15 = 420/15

x =28

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8. If the measure of one side of a square is increased by 2 centimeters and the measure of

GalinKa [24]

Answer:

6 cm

Step-by-step explanation:

If the original side length is x, then the modified square has an area of ...

A = LW

32 = (x +2)(x -2) = x^2 -4

36 = x^2 . . . . . . . . add 4

6 = x . . . . . . . . . . take the square root

The original figure has a side length of 6 cm.

Check

The modified figure is 8 cm by 4 cm = 32 cm^2.

8 0

3 years ago

What is the approximate solution to this equation?

Citrus2011 [14]

The answer is B because 5^3 is 125 so the approximate answer is 124.75

6 0

3 years ago

Read 2 more answers

withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pen

REY [17]

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

4 0

3 years ago

16. Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Cap

vazorg [7]

It would be every 60 minutes I believe!

7 0

3 years ago

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y

jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0

4 years ago