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4 years ago

Round each decimal to the nearest whole number 4.5

Mathematics

1 answer:

Vikentia [17]4 years ago

3 0

its is the closet one too the right one

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In triangle ABC , side AB is 6 and side AC is 4: Which statement is needed to prove that segment DE is parallel to segment BC an

Andreyy89

Answer:

Segment AD is 3, and segment AE is 2.

Step-by-step explanation:

In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.

Here, ABC is a triangle,

In which,

AB = 6,

AC = 4,

D∈ AB and E∈AC

Let DE ║BC,

And, $DE=\frac{1}{2}BC$

In triangles ADE and ABC,

$\angle ADE\cong \angle ABC$ ( Alternative interior angle theorem )

$\angle AED\cong \angle ACB$

By AA similarity postulate,

$\triangle ADE\sim \triangle ABC$

∵ Corresponding sides of similar triangle are in same proportion,

$\implies \frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{BC}{2BC}$

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{1}{2}$

$\implies AD = \frac{AB}{2}\text{ and }AE =\frac{AC}{2}$

$\implies AD = \frac{6}{2}=3\text{ and }AE =\frac{4}{2}=2$

Hence, the correct option would be,

Segment AD is 3, and segment AE is 2.

4 0

3 years ago

Round each decimal to the nearest whole number 4.5​

Round each decimal to the nearest whole number 4.5