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PilotLPTM [1.2K]

3 years ago

12

Each side of this figure is the same length. How many lines of symmetry does this figure have?

2 answers:

Katarina [22]3 years ago

5 0

Answer:

it has 3

Step-by-step explanation:

Nuetrik [128]3 years ago

4 0

Answer: 5 is the answer

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Step-by-step explanation:

Add 2/3 to both sides.

x+−2/3+2/3=8+2/3

x=26/3

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Evan paid $60.54 for 3 notebooks and a calculator. If the calculator costs $45.87, how much does each notebook cost? Write a two

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3 years ago

The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

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3 years ago