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2 years ago

I must also show my work, but I do not know how to do this problem

Mathematics

1 answer:

Vinvika [58]2 years ago

6 0

Answer:

x = 10

Step-by-step explanation:

We know that the sum of angles in a triangle is equal to 180 degrees;

This means that

71+50+(6x-1) = 180; now that you have an algebraic expression, you can solve for x.

71+49+6x=180

120+6x = 180

6x = 60

x = 10

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3 years ago

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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

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nata0808 [166]

Answer:

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3 years ago

I'm so lost!!! Help please! I really want to know how to do this for future. Anything would help! (Question 8)

PSYCHO15rus [73]

Perimeter= 2l+2w

126= 2l+2w
l=2w

Substitute the value for l
126= 2(2w)+2w
126= 4w+2w
126=6w
21=w

Plug the value for w in to find l
l=2(21)
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Final answer: Length-42 ft, Width-21 ft

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3 years ago