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Jlenok [28]
3 years ago
9

What can you conclude and reason

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

ABC is an isosceles triangle.

Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.

Step-by-step explanation:

I can conclude that triangle ABC is an isosceles triangle.

Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.

Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.

Therefore angle C for both triangles CDA and CDB is of equal measure.

We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.

The two triangles also share the same side CD.

Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).

Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.

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3 years ago
Compute 4.659×104−2.14×104. Round the answer appropriately.
iogann1982 [59]

Answer:

261.98 is the value of the given expression.

Step-by-step explanation:

We have to find the value of the following expression:

4.659\times 104 - 2.14\times 104

Using the associative property, we can write and solve the given expression as:

(4.659 - 2.14)\times 104\\=2.519\times 104\\=261.976

Rounding off the answer, we get,

261.976\approx 261.98

Thus, 261.98 is the value of the given expression.

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4 years ago
It is possible to get 2 solutions when the system of equations is: (check all that apply)
SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as x^2+ y^2 = 1 ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

x^2 + x^2 = 1\\2x^2 = 1\\

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so the two solution are ( (\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} })

A system of the equation of a parabola and a linear equation

Let equation of Parabola be y^2 = x

and linear equation y = x

substitute

x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1

Y = 0,1

so the two solutions will be (0,0) and (1,1)

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3 years ago
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Answer:

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Step-by-step explanation:

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4 years ago
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