Sam looks at a number line with benchmark fractions and decides that 1/6 is greater than 2/3. Is he correct?

Mathematics

2 answers:

Mashcka [7]3 years ago

8 0

No 2/3 is greater than 1/6

KATRIN_1 [288]3 years ago

8 0

This is incorrect, because 2/3 equals to 4/6
4/6 is greater than 1/6
therefore his conclusion is incorrect

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Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.

Aleks04 [339]

Let
A------> (−3, −11)
B------> (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4) find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case a. they have the same slope------> is not correct
because
y=35x−6------> the slope m=35
y=(5/3)x-6---> the slope m =5/3

case b. they have the same x-intercept.----> is not correct
because
the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> this condition is not satisfied

the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0

3 years ago

I had fell asleep but this for the nikkas det wanted to see what i look like <3

exis [7]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135

melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on 1/5 of his land,

Number of acres of his land planted with corn = 1/5 × Number of acres of land Roy have

= x/5

As he planted 45 acres of his land with corn,

⇒ x/5

= 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is 225 .

To learn more about fraction from given link

brainly.com/question/78672

#SPJ4

4 0

1 year ago

PLEASE HELP!!! :))

Nina [5.8K]

For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of the Isosceles Triangle Theorem which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

$m\angle DEK=2\times m\angle DE F=2\times 43^{\circ}=86^{\circ}$ .