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1 year ago

Determine the value of x in each triangle

Mathematics

1 answer:

tensa zangetsu [6.8K]1 year ago

8 0

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

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The hypotenuese of an isosceles right triangle is 13 inches. The midpoints of its sides are connected to form an inscribed trian

Georgia [21]

Answer:

The Sum of the areas of theses triangles is 169/3.

Step-by-step explanation:

Consider the provided information.

The hypotenuse of an isosceles right triangle is 13 inches.

Therefore,

$x^2+x^2=169\\2x^2=169\\x=\frac{13}{\sqrt{2} }$

Then the area of isosceles right triangle will be: $A=\frac{1}{2} x^2$

Therefore the area is: $A=\frac{169}{4}$

It is given that sum of the area of these triangles if this process is continued infinitely.

We can find the sum of the area using infinite geometric series formula.

$S=\frac{a}{1-r}$

Substitute $a=\frac{169}{4} \ and\ r=\frac{1}{4}$ in above formula.

$S=\frac{\frac{169}{4}}{1-\frac{1}{4}}$

$S=\frac{\frac{169}{4}}{\frac{3}{4}}$

$S=\frac{169}{3}$

Hence, the Sum of the areas of theses triangles is 169/3.

7 0

2 years ago

que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo

nirvana33 [79]

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

3 0

2 years ago

Ms. Willer wanted to donate 27 cans of food to each of 8 food banks each of food to each of 8 food banks each of the 23 students

Natali [406]

It will need to be 9 as 27 by 8 is 216 and 23 by 9 is 207 and the you subtract 207 from 216 and get 9

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3 years ago

What is 63/99 in simplest form?

melisa1 [442]

Divide by 9=7/11. Hope this help you

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2 years ago

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If a gas tank can hold 30 gallons how many gallons does it contain when it is three fifths full

Butoxors [25]

3/5 of 30 is 3/5 times 30/1=90/5=18

answer is 18 gallons

6 0

3 years ago