Ask question

Ask question

All categories

3 years ago

10

Which criteria for triangle congruence can be used to prove the pair of triangles below are congruent?

2 answers:

Firlakuza [10]3 years ago

8 0

Answer: The correct option is fourth, i.e., SSS.

Explanation:

First write the name of vertices as shown below,

From the figure we can say that in triangle DAB and triangle BCD,

$AB=CD$

$DA=BC$

In both triangle the sides BD is common, so,

$BD=BD$

Since three sides of triangles DAB and triangle BCD are same so by the SSS property of congruent triangle we can conclude that the triangle DAB and triangle BCD are congruent.

Therefore the fourth option is correct.

kakasveta [241]3 years ago

4 0

Answer:

SSS

Step-by-step explanation:

We are given that two triangles.

We have to find the criteria can be used to prove the pair of triangles are congruent.

In given pair of triangles,

Two sides of one triangle are equal to corresponding two sides of other triangle.

One side is common in both triangles.

When three sides of one triangle are equal to three sides of other triangle then the triangles are congruent by SSS postulate.

Hence, the pair of triangles are congruent by SSS postulate.

You might be interested in

Complete the recursive formula of the geometric sequence -0.56\,,-5.6\,,-56\,,-560,...−0.56,−5.6,−56,−560,...Minus, 0, point, 56

pentagon [3]

Answer:

The recursive formula is:

Cn = 10C(n-1)

Step-by-step explanation:

Given the geometric sequence.

-0.56, -5.6, -56, -560, ...

The common ratio is

-5.6/-0.56 = -56/-5.6 = -560/-56 = ... = 10

The recursive formula is easily

Cn = C(n-1) × 10

That is a number is ten times the preceding number.

7 0

3 years ago

Byeeeeeeeeeeee<br>What is the formula for finding volume of sphere?

Georgia [21]

Answer:

Step-by-step explanation:

$V=\frac{4\pi r^3}{3}$

5 0

3 years ago

Read 2 more answers

Answer this question to get marked as brainliest plus 15 points!!!!

Alchen [17]

Answer:

D

Step-by-step explanation:

complementary means it equals 90

4 0

2 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

Three people are sitting on a bus. Belle is seated 4 meters directly behind Diego and 3 meters directly left of Reba. How far is

andreev551 [17]

12 meters away Diego from Reba

6 0

2 years ago