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
Hello! To solve this problem, we can write and solve an equation. Set it up like this:
6 + 3m = 24
This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet
The larger wheel rolled
.. 4*2π*2r = 16πr . . feet
The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.
<h3>What are Permutation and Combination?</h3>
Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.
Hence, the correct option is D.
Learn more about Permutation and Combination:
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hundred means 100 or 200. Like I have 100 cats.
Hundredth means you have 1/100 of something. I have a peice of pie that is 1/100 of the pie. That means there are 100 pieces of the pie but I only have one out the hundred pieces.
hundred=100
hundredth = 1/100 = 0.01
tenth= 1/10 = 0.1
