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Greeley [361]
3 years ago
12

An angle measures 102° less than the measure of a supplementary angle. what is the measure of each angle?

Mathematics
2 answers:
kramer3 years ago
7 0
A supplementary angle is equal to two angles that sum is 180.so less is a key word which means to subtract in this case so 180-102 = 78°
maksim [4K]3 years ago
5 0
The angle measures 78 as 180-102 is 78 (180 is the degree of a supplementary angle)
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tigry1 [53]

Answer:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

Step-by-step explanation:

Given

Salad                               Meats                      Dressings

O = Olives                     S = Shrimp                 I = Italian  

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To determine the sample space, we simply select one from each column.

Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI

So, the following sample space exists:

Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}

3 0
3 years ago
What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?
mestny [16]
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Step-by-step explanation:

7 0
2 years ago
The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD ,
ivanzaharov [21]

Answer:

  CD = 14 cm; DE = 21 cm

Step-by-step explanation:

The perimeter is the sum of side lengths (in centimeters), so ...

  CD + DE + CF + EF = 55

  CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF

  CD + DE = 35 . . . . . . . . . . . . . . subtract 20

___

The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...

  CD/DE = CF/EF = 8/12 = 2/3

___

So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...

  CD = 2·7 cm = 14 cm

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<em>Check</em>

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7 0
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