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podryga [215]
3 years ago
9

HURRYYY HELP! Triangle ABC is congruent to triangle FDE, and both triangles have the same orientation, as shown. What is the slo

pe of DF, which also the slope of AC?

Mathematics
1 answer:
muminat3 years ago
8 0
We know that
point A(1,1) C(3,5)
point D(-2,-4) F(0,0)

step 1
find the slope FD
m=(y2-y1)/(x2-x1)------> m=(0+4)/(0+2)----> m=4/2----> m=2

step 2
find the slope AC
m=(y2-y1)/(x2-x1)------> m=(5-1)/(3-1)----> m=4/2-----> m=2

mAC=mFD

the answer is
the slope FD is 2
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3 years ago
3. Antony and Cleopatra are 100 miles apart . To meet at a planned location , Antony travels at 12 mph and Cleopatra travels at
Vlad1618 [11]

Answer:

60 miles

Step-by-step explanation:

Distance apart = 100

Rate of travel. :

Anthony = 12 mph

Cleopafda = 8 mph

Using the relation :

Speed = distance / time

Distance = speed * time

If they leave at the same time, travel time Can be represented as x

Anthony's distance + Cleopafda distance = total distance

12x +. 8x = 100

20x = 100

x = 5

Hence, they both traveled for 5 hours before meeting.

Distance covered by Anthony :

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12 mph * 5h = 60 miles

Anthony must travel. For 60 miles.

5 0
3 years ago
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FinnZ [79.3K]

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3 0
3 years ago
1/6 of a loop around the circle would be a rotation of how many degrees (q)?
Verizon [17]

Answer:

60

Step-by-step explanation:

A circle is 360 degrees

1/6 of 360

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6 0
3 years ago
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )



3 0
3 years ago
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