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3 years ago

Which method would you use to prove that the two triangles are congruent?

Mathematics

1 answer:

Alona [7]3 years ago

6 0

Answer:- AAS postulate

Explanation:-

AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.

We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]

⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.

⇒ The triangles are congruent [ by ASA postulate]

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Find the HCF and LCM of 4x^2 - 36 ,2x^2 - 12x + 18 and 2x^2 + x - 21

olga_2 [115]

Answer:

(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)

Step-by-step explanation:

Factor all the expressions,

1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)

2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)

3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)

HCF=Commo factor=(x-3)

LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)

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3 years ago

Each week desireeearns $925 and pays $148 in payroll tax. How long does it take desiree to earn at least $3000 after taxes?

tia_tia [17]

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3 years ago

44.1 = 4.9p what does “p” equal

Talja [164]

Step 1: Flip the equation.

4.9p=44.1

Step 2: Divide both sides by 4.9.

4.9p= 44.1

4.9/4.9 = 44.1/4.9

p=9

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3 years ago

Can someone please help me with this

Dmitry [639]

The answer to your problem (or what i got) was 34u^2(34units squared)

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3 years ago

A baby was born 3/4 of a month early. At birth its weight was 7/8 kilograms, which is 9/10 kilograms less than the average weigh

BlackZzzverrR [31]

Answer:

The average weight of a newborn otter is 1.775 kg.

Step-by-step explanation:

We are given the following in the question:

Weight of newborn otter =

$\dfrac{7}{8}\text{ kg}$

Let x lg be the average weight of a newborn otter.

Thus, we are given the relation:

$\dfrac{7}{8} = x - \dfrac{9}{10}\\\\x = \dfrac{7}{8} + \dfrac{9}{10}\\\\x = \dfrac{35+36}{40} = \dfrac{71}{40}\\\\x = 1.775\text{ kg}$

Thus, the average weight of a newborn otter is 1.775 kg.

7 0

3 years ago