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grigory [225]
3 years ago
5

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and

is the longest side of DEF.
a)Triangle ABC is a scaled copy of triangle DEF with what scale factor?

b)Triangle DEF is a scaled copy of triangle ABC with what scale factor?
Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

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Kazeer [188]

Answer:

$13,616

Step-by-step explanation:

For each year we will have to constantly decrease it by 7.5%

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= 21,737.5

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= 20,107.1875

= 20,107.1875 - 7.5%

= 18599.1484375

= 18599.1484375 - 7.5%

= 17204.2123047

= 17204.2123047 - 7.5%

= 15913.8963818

= 15913.8963818 - 7.5%

= 14720.3541532

= 14720.3541532 - 7.5%

= 13616.3275917

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8 0
3 years ago
Evaluate∣2x+7∣ for x=-4
yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

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Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

1

5 0
3 years ago
Geralds baby brother spends 7/8 ofhis day sleeping. How many hours does his baby brother sleep
Effectus [21]
His baby brother sleeps 21 hours.
There's a total of 24 hours in a day so you can divide by 8. That means 1/8 of the day is equal to 3 hours, so 7 times 3 hours equals 21 hours
6 0
3 years ago
Find the measure of each missing angle.
nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \sf \boxed{\bf  \angle 1     = 52^ \°}

AB // CD and AC is transversal.

 \sf \boxed{\bf  \angle 3 = 38^\circ}   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

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                      \sf \boxed{\bf  \angle 2 = 79^ \°}

5 0
2 years ago
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Vaselesa [24]

Answer:

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M + P + C = 13.5

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2P = C

Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.

7 0
3 years ago
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