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3 years ago

Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Which equation has infinitely many solutions? a 12 + 4x = 6x + 10 - 2x
b 5x + 14 - 4x = 23 + x-9 c
c X + 9 -0.8x = 5.2x + 17-8
d 4x-2x = 20

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emmainna [20.7K]

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2 years ago

Read 2 more answers

168_138_123_ _ _ _ _ _ me ayudan por favor?✅

Mazyrski [523]

paso a paso

Step-by-step explanation:

tienes que saber cuanto le quito al otro por que

el primero es 168 y el otro es 138 cubro le quito 30 y el otro

es 123 igual tienes que quitarle tal ves es sumarle primero y después 2 de restarle

espero que te sirva

5 0

3 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$