All categories

4 years ago

Find the value of x. RZ = 30 SW = 5x - 20

Mathematics

1 answer:

Murrr4er [49]4 years ago

5 0

|RZ|=0.5|SW| therefore 2|RZ|=|SW|.

5x - 20 = 2 · 30

5x - 20 = 60 |add 20 to both sides

5x = 80 |divide both sides by 5

x = 16

You might be interested in

What is the value of X? 80 cm 20 cm 12 cm 10 cm

dangina [55]

Answer:

$x=12cm$

Step-by-step explanation:

Triangle DEF is similar to triangle HGF.

Therefore the corresponding sides are proportional.

We can write the following equations for the corresponding sides.

$\frac{DF}{HF}=\frac{EF}{GF}$

This implies that,

$\frac{16+40}{40}=\frac{x+30}{30}$

This gives us,

$\frac{7}{5}=\frac{x+30}{30}$

We cross multiply to get,

$7\times 30=5(x+30)$

We divide through by 5 to get,

$7\times 6=(x+30)$

We multiply to get,

$\Rightarrow 42=x+30$

Grouping like terms gives,

$\Rightarrow 42-30=x$

We simplify to obtain,

$\therefore x=12cm$

The correct answer is C

6 0

3 years ago

Read 2 more answers

If M = 6, then what is 4m - 17?

Gelneren [198K]

4*6=24 24-17=7
4M-17=7

3 0

3 years ago

Read 2 more answers

What choices are solutions for equation x^2-3x = -5/4

Kryger [21]

Here's the solution,

=》

${x}^{2} - 3x = - \dfrac{5}{4}$

=》

${x}^{2} - 3x + \dfrac{5}{4} = 0$

now, let's multiply the whole equation with 4

=》

$4 {x}^{2} - 12x + 5 = 0$

=》

$4 {x}^{2} - 10x - 2x + 5= 0$

=》

$2x(2x - 5) - 1(2x - 5) = 0$

=》

$(2x - 1)(2x - 5) = 0$

so,

Case 1. where, 2x - 5 = 0

=》

$x = \dfrac{5}{2}$

case 2. where, 2x - 1 = 0

=》

$x = \dfrac{1}{2}$

8 0

3 years ago

PLEASE HELP!!!! how to solve 9x^3-16x^2=0 by factoring WILL GIVE BRAINLIEST IF CORRECT!!!!

andreev551 [17]

Answer:

x=5.3

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

≈

5.3

Hope this helps, can you now give me brainliest??

7 0

3 years ago

Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack.

Umnica [9.8K]

She will spent a total of $5.55 left because she will be able to buy 4 packs of cookies

8 0

3 years ago