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3 years ago

Segment DB is a median of ΔADC. Which statement best describes the relationship between triangles ABD and CBD?

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

8 0

HELLO :)

Triangles ABD and CBD are congruent by the SSS Congruence Postulate, this is because both of the triangles have the same angle and the have the same sides. Therefore they are congruent by the SSS Congruence Postulate.

slavikrds [6]3 years ago

6 0

Answer:

Triangles ABD and CBD are congruent by the SSS Congruence Postulate

⇒ Answer A is the best answer

Step-by-step explanation:

* Lets revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

leg of the 2nd right angle Δ

* Lets solve the problem

- In ΔADC

∵ DA = DC

∵ DB is a median

- The median of a triangle is a segment drawn from a vertex to the

mid-point of the opposite side of this vertex

∴ B is the mid-point of side AC

∴ AB = BC

- In the two triangles ABD and CBD

∵ AD = CD ⇒ given

∵ AB = CB ⇒ proved

∵ BD = BD ⇒ common side in the two triangles

∴ The two triangles are congruent by SSS

* Triangles ABD and CBD are congruent by the SSS Congruence

Postulate.

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Solve and show work for this problem

il63 [147K]

The two equations are:

x = 5y - 18 (vertically opposite angles are equal)

x + y = 180 (Alternate angles , adjacent angles on a straight line)

x = 5y - 18 ---------------- (1)
x + y = 180 ---------------- (2)

From (2):
x + y = 180
y = 180 - x ---------------- Sub into (1)

x = 5(180 - x) - 18
x = 900 - 5x - 18
6x = 882
x = 147 ---------------- Sub into (2)

x = 147
y = 180 - 147 = 33

Answer: x = 147, y = 33

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2 years ago

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kvv77 [185]

Answer:

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Step-by-step explanation:

First the given is the listed price of DVD which is 120 dollars.

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2 years ago

I have the answer here

NISA [10]

So what do u need help on??

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2 years ago

Read 2 more answers

What is the constant of proportionality between y/x

Y_Kistochka [10]

Answer:

3.5

Step-by-step explanation:

To find the constant of proportionality between y/x you investigate the trend in values of x with corresponding values of y

For this case, when x =1, y=3.5

when x=2, y=7

Taking in case 1, y/x = 3.5/1 = 3.5

In case 2, y/x= 7/2 = 3.5

But you know that the constant of proportionality k is given by;

y=kx------------------------making k subject of formula

y/x=k

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3 years ago

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area aff

Karolina [17]

The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.

<h3>How to solve for the earthquake in the state A</h3>

we have x/y = 0.00299

y = 163696

To solve for x we have

163696 * 0.00299

= 4895 earthquakes

<h3>Next we have to solve for earth quakes in state B</h3>

x = 0.1402 x 10931

= 1533

Next we have to find the difference

4895 - 1533 = 3362 earthquakes.

We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.

<h3 />