1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tom [10]
3 years ago
7

Need help for number 4 please

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

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

You might be interested in
Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned.
erastova [34]

Step-by-step explanation:

I think this should be the expression

X = 14 + 50

5 0
3 years ago
Read 2 more answers
Find sin D sin E cos D and cos E
Andrew [12]

9514 1404 393

Answer:

  sin(D) = cos(E) = (√3)/2

  cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

For this diagram, this means ...

  sin(D) = cos(E) = (13√3)/26 = (√3)/2

  cos(D) = sin(E) = 13/26 = 1/2

5 0
3 years ago
How do i graph negative square roots on a number line​
DerKrebs [107]

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

8 0
3 years ago
Solve. -4 is greater than -4/3s <br><br> −4 &gt; − 4/3 s
alekssr [168]

Answer:

s>3

Step-by-step explanation:

Step 1: Flip the equation.

-4/3s <-4

Step 2: Multiply both sides by 3/(-4).

(3/-4) x (-4/3s) < (3/-4) x (-4)

s > 3

7 0
3 years ago
Mr jones and his family went to the amusment park
djverab [1.8K]
That’s really nice right
4 0
3 years ago
Other questions:
  • A product costs $48.50 for 75 feet. How much does it cost per inch?
    12·2 answers
  • About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the cha
    10·1 answer
  • Question 5 (5 points)
    11·2 answers
  • I need help with 21 and 22. please.
    15·1 answer
  • What is the value of 1 in 0.01?
    7·1 answer
  • Which symbol creates a true sentence when x equals 2? 6 • 8 – 2x _____ 6(5 + x) &lt; &gt; = ?
    14·2 answers
  • Identify the equation that means eleven less than x is twenty-three
    15·1 answer
  • Which one of the colors do I choose to pick
    9·2 answers
  • Please help! I need the answer now!!!!!!!!!
    9·1 answer
  • A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!