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schepotkina [342]
3 years ago
9

PLEASE HELP!!!!!!!!!!!!!!!

Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The ratios are equal

3/2 = (x+2)/(x)

2(x+2)=3x

2x+4=3x

-x+4=0

-x=-4

x=4

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Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
If a=2,b=-1,c=-3 and d=-2.find the value of 7a2-3ac+d2​
hram777 [196]

Answer:

42

Step-by-step explanation:

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5 0
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Step-by-step explanation:

4 0
3 years ago
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Step-by-step explanation:

  √16 / √100

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