Anyone know this geometry question?

dem82 [27]

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E and <A

There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

7 0

3 years ago

The area of the regular hexagon is 169.74 ft2 what is the perimeter, rounded to the nearest tenth

Bess [88]

Answer:

Perimeter of given regular hexagon is 48.5 ft.

Step-by-step explanation:

Let ABCDEF be the regular hexagon as shown in the attached figure.

O be the intersection point of the diagonals EB, FC and AD.

As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.

In other words,

$\triangle EOD, \triangle DOC, \triangle BOC, \triangle AOB, \triangle AOF , \triangle FOE$ are equilateral $\triangle s$ .

Area of an equilateral $\triangle$ is defined as :

$\dfrac{\sqrt{3}}{4} \times a^{2}$

Where a is the side of $\triangle$ .

Area of hexagon = $6 \times \dfrac{\sqrt{3}}{4}\times a^{2}$

We are given that area of hexagon = 169.74 $ft^{2}$

Let s be the side of hexagon.

$\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft$

A regular Hexagon is made up of 6 equal sides, so

Perimeter of a regular hexagon = $6 \times side$

Perimeter = $6 \times 8.08$

$\Rightarrow 48.5 ft$

So, perimeter of given regular hexagon is $48.5 ft$ .

6 0

3 years ago

What does x equal in : 19=15x+14

umka21 [38]

$19=15x+14\ \ \ \ \ \ \ \ |subtract\ 14\\\\19-14=15x\\\\15x=5\ \ \ \ \ \ \ \ \ |:15\\\\x=\frac{5}{15}=\frac{1}{3}$

6 0

4 years ago

Read 2 more answers

What is 2% of 2900 round to the nearest hundredth

Alla [95]

Answer:

58.00

Step-by-step explanation:

2900 x 0.02 = 58

6 0

4 years ago

I’m really struggling on this It’s a puzzle and I can’t do it i don’t know what to do

WINSTONCH [101]

Answer:

Maby you add up the sides and put it in?

Step-by-step explanation:

5 0

3 years ago