1/4 = 1/3 x ... ? 3/4 ත් 1/2 ත් ගුණ කරන්න. යට දැක්වෙන ත්‍රිකෝණයේ පැතිවල දිග සෙන්ටිමීටර අගයෙන් දක්වන්න. x²…

Question

1/4 = 1/3 x ... ? 3/4 ත් 1/2 ත් ගුණ කරන්න. යට දැක්වෙන ත්‍රිකෝණයේ පැතිවල දිග සෙන්ටිමීටර අගයෙන් දක්වන්න. x² − 12x යන්න ඉක්шееම ඝන සංඛ්‍යාවකින් ගුණ කළ විට x⁴ − 12x³ ලැබේ. ත්‍රිකෝණයක අභ්‍යන්තර කෝණ a + b + c + d 90° කට සමාන ද?

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the questions:

1.

To find the value of $x$ in the equation $\frac{1}{4} = \frac{3}{x}$ , cross-multiply the terms.
$1 \times x = 3 \times 4$ $x = 12$
The value of $x$ is $\boxed{\text{12}}$ .

2.
To expand $\frac{2}{3}$ , convert it to a decimal by dividing 2 by 3.
$\frac{2}{3} = 0.666...$
The expanded term is $\boxed{0.666...}$ (a recurring decimal).

3.
The question asks to describe a quantity based on an adjacent graph, but the graph is not provided in the image. Therefore, this question cannot be answered.

4.
To express $6x^2 - 12xy$ as a product of factors, find the greatest common factor (GCF) of the terms.
The GCF of $6x^2$ and $12xy$ is $6x$ .
Factor out the GCF from the expression.
$6x^2 - 12xy = 6x(x) - 6x(2y)$ $6x^2 - 12xy = 6x(x - 2y)$
The expression as a product of factors is $\boxed{6x(x - 2y)}$ .

5.
The figure shows angles $a, b, c,$ and $d$ around a central point.
The sum of angles around a point is $360^\circ$ .
Add the given angles.
$a + b + c + d = 360^\circ$
The value of $a + b + c + d$ is $\boxed{360^\circ}$ .

Step-by-step solution

To find the value of $x$ in the equation $\frac{1}{4} = \frac{3}{x}$ , cross-multiply the terms.

To expand $\frac{2}{3}$ , convert it to a decimal by dividing 2 by 3.

To express $6x^2 - 12xy$ as a product of factors, find the greatest common factor (GCF) of the terms.

Factor out the GCF from the expression.

The figure shows angles $a, b, c,$ and $d$ around a central point.

Add the given angles.

Still stuck on this one?

More Mathematics Questions

Step-by-step solution

To find the value of xxx in the equation 14=3x\frac{1}{4} = \frac{3}{x}41​=x3​, cross-multiply the terms.

To expand 23\frac{2}{3}32​, convert it to a decimal by dividing 2 by 3.

To express 6x2−12xy6x^2 - 12xy6x2−12xy as a product of factors, find the greatest common factor (GCF) of the terms.