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2 years ago

11. What other information do you need to prove the triangles congruent using the AAS Congruence Postulate?

Mathematics

2 answers:

s2008m [1.1K]2 years ago

8 0

From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.

We are also given that angle BAC and angle DAC are equal.

If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC

Correct answer: fourth option

Nat2105 [25]2 years ago

6 0

From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.

We are also given that angle BAC and angle DAC are equal.

If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC

Correct answer: fourth option

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PLEASE HELLP Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer

Anna11 [10]

Answer:

Part A:

(1) x + y = 95

(2) x = y + 25

Part B:

The number of minutes Eric spends playing volleyball each day is 35 minutes

Part C:

It is not possible for Eric to have spent exactly 35 minutes playing basketball

Step-by-step explanation:

The total time Eric plays basketball and volleyball = 95 minutes

The time duration Eric plays basket ball = x

The time duration Eric plays volleyball = y

Part A:

The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;

(1) x + y = 95

(2) x = y + 25

Part B:

By substituting the value of x in equation (2) into equation (1), we have;

x + y = (y + 25) + y = 95

2·y + 25 = 95

2·y = 95 - 25 = 70

y = 70/2 = 35 minutes

Therefore, Eric spends 35 minutes playing volleyball every day

Part C:

It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;

x = y + 25

35 = y + 25

y = 35 - 25 = 10 minutes

The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.

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if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2b

frosja888 [35]

Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

$x^2-x-2$

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

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$\Large \boxed{\sf \bf \ \ x^2-4x-5 \ \ }$

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drek231 [11]

Answer:

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Step-by-step explanation:

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