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2 years ago

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

Mathematics

2 answers:

Firlakuza [10]2 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]2 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.

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The surface area is the amount a solid can hold.<br><br> True<br> False

sveticcg [70]

This statement is false.

What you described is the volume of a solid. The surface area is the outermost layer of something or the outside part of it.

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3 years ago

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Identify the undefined term that best models each object. a crease in a garment.

zvonat [6]

Answer:#carry on learning

Mark me as brainliest

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The three undefined terms are point, line, and plane. Thus, figure D represents an undefined term as it's a line.

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3 years ago

Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo

natita [175]

Answer:

There is a 12.13% probability that the person actually does have cancer.

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

What is the probability that the person has cancer, given that she was diagnosticated?

P(B) is the probability of the person having cancer, so $P(B) = 0.009$

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So $P(A/B) = 0.91$

P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

$P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765$

What is the probability that the person actually does have cancer?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.91*0.009}{0.0675} = 0.1213$

There is a 12.13% probability that the person actually does have cancer.

3 0

3 years ago

FIND M∠R (GIVING BRAINLIEST, 25 PTS)

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

triangles
equation
PEMDAS

<h3>given:</h3>

$M\angle T=2x+2$
$M\angle R=3x+1$

<h3>tips and formulas:</h3>

this is an isosceles triangle since two sides are equal therefore $\angle T=\angle S$
a triangle contains 180°

<h3>let's solve:</h3>

according to the question

2x+2+2x+2+3x+1=180

solve:

collect like terms:7x+5=180
substract 5 from both sides:=>7x+5-5=180-5=>7x=175
divide both sides by 7: =>7x/7=175/7

x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

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2 years ago

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Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the

mr_godi [17]

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

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3 years ago