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Andrei [34K]
3 years ago
9

Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S

R. Which best describes the accuracy of the congruency statements? On a coordinate plane, triangle A B C has points (2, 1), (3, 3), (4, 1). Triangle R S T has points (negative 4, negative 2), (negative 3, 0), (negative 2, negative 2). Jason's statement is correct. RST is the same orientation, shape, and size as ABC. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a rotation and a translation of ABC. Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC. Kelley's statement is correct. TSR is the same orientation, shape, and size as ABC.

Mathematics
2 answers:
weqwewe [10]3 years ago
8 0

Answer:

the answer is A

Step-by-step explanation:

look at the guy on top

Brilliant_brown [7]3 years ago
4 0

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

AC = \sqrt{(2-4)^2+(1-1)^2} =2

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

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8 0
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Read 2 more answers
PLEASE HELP ASAP
neonofarm [45]

Answer:

9 Quarters

8 Dimes

3 Nickels

Step-by-step explanation:

We let the number of quarters be q

number of dimes be d

and

number of nickels be n

Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:

0.25q + 0.10d + 0.05n = 3.20

Next,

3 times as many quarters as Nickels, we can write:

q = 3n

and

5 more dimes than nickel, we can write:

d = n + 5

Substituting these last 2 equations in the first and solving for n gives us:

0.25q + 0.10d + 0.05n = 3.20

0.25(3n) + 0.10(n+5) + 0.05n = 3.20

0.75n + 0.10n +0.5 + 0.05n = 3.20

0.9n = 2.70

n = 2.70/0.9 = 3

n = 3

We know q = 3n, so

q = 3(3) = 9

Also, we know d = n + 5, which means:

d = 3 + 5 = 8

Thus,

There are:

9 Quarters

8 Dimes

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5 0
3 years ago
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Misha Larkins [42]

Answer:

T.A = 54 + 9/2 √3

Step-by-step explanation:

∵ The figure is triangular prism

∴ T.A = perimeter of the base × height + 2 × area of the base

∵ The base is an equilateral Δ with side length 3"

∴ The perimeter of the base = 3 × 3 = 9 inches

∴ The area of the base = 1/4 S² √3 = 1/4 (3)²√3 = 9/4 √3 inches²

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∴ T.A = 9 × 6 + 2 × 9/4 √3 = 54 + 9/2 √3

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