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Ivanshal [37]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

<h3 /><h3>What is congruency?</h3>

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

Learn more about congruency at

brainly.com/question/14418374

#SPJ1

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The functions f(x) and g(x) are defined below.
madam [21]
Uh im not sure completely but ill try my best to help.

f(x)=x-16/(x+10)(x-4)
g(x)=1/x+10

Now find a common denominator. (x+10)(x-4) is a good one.

x-16/(x+10)(x-4)+x-4/(x+10)(x-4)
2x-20/(x+10)(x-4)

So I think the answer is 2(x-10)/(x+10)(x-4) and x≠-10 and x≠4

Thats the most you can factor it. Don’t try to cancel out the (x-10) and the (x+10)

Brainliest my answer if it helped you out?
5 0
3 years ago
Read 2 more answers
Plot the value(s) on the number line where this function is equal to zero: fx) = (x + 5)(x - 1).​
Anestetic [448]

Answer:

x = - 5, x = 1

Step-by-step explanation:

let f(x) = 0 , that is

(x + 5)(x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

Plot the points - 5 and 1 on the number line

8 0
2 years ago
In a standard deck of cards, P(heart)
g100num [7]
Answer:

13/52 (0.25) (25%)

Explanation:

There are 52 cards in a standard deck and there are four suits.

52/4 = 13

So, the probability (assuming that’s what you are asking for) is a 13/52 chance you will pull a hearts card.
5 0
3 years ago
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Please help! <br><br> What is the value for y?<br><br> Enter your answer in the box.<br><br> y =
Amiraneli [1.4K]

The little lines through the two sides mean they are the same length.

When the two sides are the same length the 2 corresponding angles are also the same, so Angle A and Angle B are both 34 degrees.


The three inside angles of a triangle equal 180, so angle C = 180 - 68 = 112


Angle C is given as 4y, so 4y = 112

Divide both sides by 4:

y = 112 / 4

y = 28

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3 years ago
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GalinKa [24]

Answer: 2.9 minutes.

Step-by-step explanation:

Given: Rate of filing the tank =  12 gallons per minute

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Time taken to fill the reservoir = \dfrac{\text{Total volume of reservoir }}{\text{Rate of filing the tank}}

=\dfrac{35}{12}\approx2.9

hence, time taken to fill the reservoir = 2.9 minutes.

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