All categories

2 years ago

Prove that triangle ABD is congruent to triangle CBD.

Mathematics

1 answer:

Ede4ka [16]2 years ago

8 0

Answer:

AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC

So we have two sides and included angle equal.

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

According to the rule above we can say triangles ΔABD ≅ ΔCBD

You might be interested in

There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew? PLZ HELP

cestrela7 [59]

Answer:it would be 4:1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant

Nina [5.8K]

Answer:

5 players participated in the tournament.

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

$=\ ^nC_2$

As they played 2 games with every other participant in the tournament.

So the total number of games is,

$=\ 2\times ^nC_2$

But it is given to be 20, so

$\Rightarrow \ 2\times ^nC_2=20$

$\Rightarrow \ ^nC_2=10$

$\Rightarrow \dfrac{n!}{2!(n-2)!}=10$

$\Rightarrow \dfrac{n(n-1)}{2}=10$

$\Rightarrow {n(n-1)=20$

As $5\times 4=20$ , so we get n=5.

Therefore, 5 players participated in the tournament.

5 0

2 years ago

Read 2 more answers

parallelogram ABCD has vertices A(-2,-51/2), B(-4,-51/2), C(-3,-2), and D(-1,-2). find the vertices of parallelogram A'B'C'D' af

Volgvan

On a coordinate plane, any movement up and down is on the y-axis. So if your parallelogram is moving down 2.5 units, then the y-values of each vertice will go down by 2.5:
A(-2, -8), B(-4, -8), C(-3, -4.5), D(-1, -4.5)

7 0

3 years ago

What is 5 1/8 divided 7/8

garik1379 [7]

0.0915178...........

8 0

3 years ago

A rectangle is 18 inches long and 9 inches wide. Find it’s area.

galina1969 [7]

Answer:

162 square inch

Step-by-step explanation:

Area = Length * Width

Area = $18*9=162$

4 0

3 years ago