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number 9 !!!! please answer !!!! explain how u got the answer and the answer of cpurse

Number 9 Please Answer Explain How U Got The Answer And The Answer Of Cpurse class=

Sagot :

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answer:

90 degrees + 28 degrees= 118 degrees

180-118= Z is 62 degrees

13y-1 = 24                                     2x-7 = 39

+1           +1                                          +7     +7

13y = 25                                          2x = 46

/13      /13                                           /2     /2

y = 1.92                                            X = 23

Answer:

x = 23 , y = 7 , z = 11

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent , then

PS = CH , that is

2x - 7 = 39 ( add 7 to both sides )

2x = 46 ( divide both sides by 2 )

x = 23

∠ R = ∠ F = 90° , that is

13y - 1 = 90 ( add 1 to both sides )

13y = 91 ( divide both sides by 13 )

y = 7

Then

The sum of the 3 angles in Δ PRS = 180° , that is

∠ S + 90° + 28° = 180°

∠ S + 118° = 180° ( subtract 118° from both sides )

∠ S = 62°

Now ∠ H = ∠ S , that is

6z - 4 = 62 ( add 4 to both sides )

6z = 66 ( divide both sides by 6 )

z = 11

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