The length of the hypotenuse, line segment AC, in right

Mathematics

2 answers:

ryzh [129]3 years ago

6 0

What is the question? The Hypotenuse? If so there is still not enough evidence.

Nadya [2.5K]3 years ago

3 0

If the question is asking for the length of AB :
since the triangle is a right angled one, we can apply the Pythagoras’ Theorem.

AC^2 = BC^2 + AB^2
25^2 = 15^2 + AB^2
625 = 225 + AB^2
AB^2 = 400
AB = 20cm

The length of line AB is 20cm.

You might be interested in

Be prepared to explain<br> the steps you would take<br> to solve a real-world<br> problem

shusha [124]

Answer:

Be prepared as the questions states. Good luck.

Step-by-step explanation:

7 0

2 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$