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3 years ago

Andre purchased 1 quart of lemonade

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

Step-by-step explanation:

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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

Brilliant_brown [7]

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.

4 0

3 years ago

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The fuel efficiency (in miles per gallon) of an SUV depends on its weight according to the formula†

skelet666 [1.2K]

Diyziydoyxoydoydtisirxuuttfxoydiyxim not sure on what ur asking

4 0

3 years ago

Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP

sesenic [268]

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = $\frac{135}{45}=3$

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

$a_n=a(r)^{n-1}$

$a_n=45(3)^{n-1}$

Recursive formula of this sequence will be,

$a_n=3(a_{n-1})$ , $a_1=45$

Therefore, Option (B) will be the answer.

3 0

3 years ago

Find the equation in terms of x of the line through the points (-4,-4) and (5,-5)

zhuklara [117]

Answer:

The answer to your question is: y = -1/9 x - 40/9

Step-by-step explanation:

Data

A (-4 , -4)

B (5, -5)

Formula

m = (y2 - y1) / (x2 - x1)

y = mx + b

(y - y1) = m(x - x1=

Process

m = (-5 + 4) / (5 + 4)

m = -1 / 9

( y +4) = -1/9 (x + 4)

y + 4 = -1/9 x - 4/9

y = -1/9 x - 4/9 - 4

y = -1/9 x - 4/9 - 36/9

y = -1/9 x - 40/9

5 0

3 years ago

Please help me with this please and thank you please actually help me

fgiga [73]

Answer:

-5, -8, -11

Step-by-step explanation:

it every -3

5 0

2 years ago

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