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Ivanshal [37]
1 year ago
5

Select the correct answer.

Mathematics
1 answer:
Lina20 [59]1 year 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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Samuel has 9 whole pizzas. Marina has 18 slices that are each 1/2 of a pizza does Marina have more?
klio [65]
18 slices that are half’s
1/2*18= 9
meaning there are 9 whole slices
No, Marina does not have more since Samuel has the whole pie.
3 0
3 years ago
Read 2 more answers
What is the range of possible values for x?
Talja [164]
The minimum value for 2x is 0 
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>

<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>

<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>

<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>

<span>sin 2x = 22 (sin 34°)/30 </span>

<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>

<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>

<span>0 < x < 12.1°</span>
7 0
3 years ago
The sales tax rate for the state of Washington was 7%.
sladkih [1.3K]

Answer:

Total cost of the car including tax=$4,066

Step-by-step explanation:

Sales tax rate=7%

Price of the car=$3800

Sales tax=7% of 3800

=7/100×3800

=$266

Total cost of the car=price of the car+ sales tax

=$3800+$266

=$4,066

5 0
3 years ago
dolores and four friends went to a buffet dinner.The total cost was at most $130 including the $20 dollar tip they left.How much
Levart [38]
So the actual meal was at most 130 dollars they paid minus the 20 dolars tip: 130-20=110 dollars.

it was 5 people: Dolores+5 friends, who presumably all paid the same (buffet).

then we have to divide the 110 among the 5 people: it's 110/5=22

so each of them paid at most 22 dollars:

x (the amount they paid)≤22

5 0
3 years ago
PLEASE HELP!! I WILL BRAINLIEST
ArbitrLikvidat [17]

Answer:

81.8%

Step-by-step explanation:

Mean = \mu = 40

Standard deviation = \sigma = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

z = \frac{x-\mu}{\sigma}

Substitute the values

z = \frac{x-40}{5}

Now for P(35<x<50)

Substitute x = 35

z = \frac{35-40}{5}

z =-1

Substitute x = 50

z = \frac{50-40}{5}

z =2

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= 0.818 \times 100

=81.8%

Hence  81.8% percent of the numbers fall between 35 and 50

7 0
3 years ago
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