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Novosadov [1.4K]
2 years ago
8

If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°, find the measure of < S.

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180   { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

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nordsb [41]

Answer:

30

Step-by-step explanation:

5ab-2c

5(2)(3)-2(0)

5(6)-2(0)

30-0

30

7 0
3 years ago
Which expression has a positive value?
Alexus [3.1K]

Answer:

C - 3 (negative 64 divided by 8) + 25 =1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how man
EastWind [94]
To answer this problem, the utilization of the provided formula is of utmost importance.

The formula to be used would be for the combination with no repetition since it is what is asked and possibly happens when involving the products mentioned in the problem. The formula would be

      n!                                              where in
-------------                                                   n = number of things to choose from
(n - r)! r!                                                      r = number of things needed to form

the symbol ! is called a factorial function which replaces the sequence of multiplying a number in a descending order.

lets substitute and solve

      13!
--------------
(13 - 6)! 6!

      13!
-------------
   (7!) 6!

6,227,020,800
-------------------
  5,040 x 720

6,227,020,800
-------------------
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1,716

The answer would be 1,716.
6 0
3 years ago
13. A glass can hold 3 cups of water. A bowl can
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Explanation:
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8 0
2 years ago
In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc
dimaraw [331]

Answer:

  • first shift: 13,750 bulbs
  • second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

  shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

  shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

  (11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

  (2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

3 0
3 years ago
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