Mathematics, 11.03.2021 23:00 bananaslugs

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Answer from: Quest

step-by-step explanation:

50 the table shows the monthly snowfall in kyburz, california, and park city, utah.month kyburz park

Answer from: Quest

step-by-step explanation:

Answer from: Quest

answer: the proof is mentioned below.

step-by-step explanation:

since, given: lines bc = ef

prove: lines ac > ef

statements reason

1. bc=ef 1. given

2. ac= ab+bc 2. because b is the point between the

line segment ac

3. ac > bc 3. because if a line segment is equal to

the sum of two line segments then it is

always greater then each of these

individual line segments

4. ac > ef 4. by equality property.

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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