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2 years ago

What property is occurring in the following example? 11.5 + (- 11.5) = 0

Mathematics

1 answer:

kramer2 years ago

5 0

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

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Math please help :)!!!

77julia77 [94]

Answer:

36, 8.5

Step-by-step explanation:

an exponent of two means that you are multiply a number by itself

so in this case you would multiply 6 by itself: 6 x 6

this gets you 36

and 8.5 doesn't change so its just 8.5

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3 years ago

Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras

Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

$\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}$

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

$\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2$

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

$(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}$

Podemos entonces despejar x de la siguiente manera:

$h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07$

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3 years ago

I dont get this but help pls

jekas [21]

The correct answer is 37.5.

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3 years ago

Find the value of x in each case.

velikii [3]

Answer:

x=11

Step-by-step explanation:

Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that

$DCA=33$ °

Next, we can find the measure of the angle DCE.

Angles BCE and BCA are supplementary. This means that they will add together to be 180°

This means that 180-BCE=BCA

Which means $BCA=180-5x$

As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation

$33+180-5x+2x=180\\213-3x=180\\3x=33\\x=11$

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