Mathematics, 17.11.2020 16:20 RandomLollipop

Need help for number 4 please I have uploaded the problem to my sons homework
We appreciate any help

Need help for number 4 please

I have uploaded the problem to my sons homework
We appreciate any

Answers: 1

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Answer from: loistaylor1819

Step-by-step explanation:

4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.

a) BN = SW d) m∠W = m∠N

BN = 9 cm m∠W = 82°

b) TW = FN e) m∠B = m∠S

TW = 14 cm m∠B = 67°

c) BF = ST f) m∠B + m∠N + m∠F = 180°

BF = 17 cm 67 + 82 + m∠F = 180

149 + m∠F = 180

m∠F = 180 - 149

m∠F = 31°

5) ΔUVW ≅ ΔTSR

UV = TS

12x - 7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

UW =TR

3z +14 = 50

3z = 50 - 14

3z = 36

z = 36/3

z = 12

SR =VW

5y - 33 = 57

5y = 57 + 33

5y = 90

y = 90/5

y = 18

7) ΔPHS ≅ ΔCNF

∠C = ∠P

4z - 32 = 36

4z = 36 + 32

4z = 68

z = 68/4

z = 17

∠H = ∠N

6x - 29 = 115

6x = 115 + 29

6x = 144

x = 144/6

x = 24

∠P + ∠H + ∠S = 180 {Angle sum property of triangle}

36 +115 + ∠S = 180

151 + ∠S = 180

∠S = 180 - 151

∠S = 29°

∠F = ∠S

3y - 1 = 29

3y = 29 + 1

3y = 30

y = 30/3

y = 10

8) ΔDEF ≅ ΔJKL

DE = 18 ; EF = 23

DF = 9x - 23

JL= 7x- 11

DF = JL {Corresponding parts of congruent triangles}

9x - 23 = 7x - 11

9x - 7x - 23 = -11

2x - 23 = -11

2x = -11 + 23

2x = 12

x = 12/2

x = 6

JK = DE {Corresponding parts of congruent triangles}

3y - 21 = 18

3y = 18 + 21

3y = 39

y = 39/3

y = 13

Answer from: Quest

sorry, i don't know i just need points, i'm new here. chao

What is question 19? angle a = 3x-20 angle e = 5x+18 angle bde = 2x

Answer from: Quest

x² + 3x + 7 = 0 [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

$x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}$ (+/- is this ±)

plug in the numbers into the variables

$x = \frac{-3+/-\sqrt{3^2-4(1)(7)} }{2(1)}$

$x=\frac{-3+/-\sqrt{9-28} }{2}$

$x=\frac{-3+/-\sqrt{-19} }{2}$

your answer is a

What is the solution to this equation? x^2+3x+7=0

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