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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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Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
Strike441 [17]

Answer:

30 pages

Step-by-step explanation:

Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.

8 0
3 years ago
A pennant is shaped like a right triangle with a hypotenuse of 10feet. The length of one side of the pennant is two feet longer
marissa [1.9K]

Answer:

6 ft and 8 ft

Step-by-step explanation:

let x be the length of one leg then (x + 2) is the other leg.

Using Pythagoras' identity in the right triangle, that is

x² + (x + 2)² = 10² ← expand left side and simplify

x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide all terms by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

But x > 0 ⇒ x = 6

Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft

6 0
4 years ago
twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels
DerKrebs [107]

Answer:

$1.97

Step-by-step explanation:

23.58/12

price divided by amount

5 0
3 years ago
Given the parent functions ​f​(​x​) = ​x​ , the function ​g​(​x​) = -(​x​ + 7)​ - 8 is
tankabanditka [31]
I think the answer is a I believe I don’t gave an explanation
3 0
3 years ago
You make 70% of the basketball shots you take. If you
Temka [501]

Answer:

Step-by-step explanation:

The probability that you make one shot is 70%, or 0.7.

The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249

The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.

MSSSSSSSSS

SMSSSSSSSS

SSMSSSSSSS

and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is

(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821

Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get

0.0282475249 +  0.121060821 = 0.1493083459

7 0
2 years ago
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