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
Answer:
The 8 oz has lower unit rate, it's lower by .2.
Step-by-step explanation:
8 oz divided by $6 = $1.333 for 1 oz ---- (round to 1.3)
6 oz divided by $4 = $1.5 for 1 oz
7: $200<3x-y(28) where x represents each kids money out of it and y represents the parents pay.
8: 7.00>(is greater then or equal to) 0.75X + 1.29Y where X is the amount of bagels and Y is the amount of cream cheese containers.
9: $25 + $75>4X where X is the shirts
10: 720-120>(greater then or equal to) 32X where X is the number of people in each row
11: 2400= 2100+ X(1/20) where X is the value of all things sold.
12: 2000<(X7)-668 where X is the amount of cans in one day.
13: 100> 7X - 10Y where X equals the amount of months and Y equals the amount of CD's
14: $80 - $22> (greater than or equal to) 17X where x equals the amount of shirts.
first off sorry it took so long to answer, these long word questions are time consuming and i havent done them in a while so i had to refresh my memory, secondly the equations all end where i say the word "where", thirdly i am absolutely sure of all these answers except for the first one, the first one i am pretty sure i still got it but not 100%.
hope this helps.
I like pumpkins and you should too. The valiue of a is 2
Answer:
john has a greater ratio of shirts to pants
Step-by-step explanation:
jason- 5:2
table:
shirt :5 10 15 20 25 30 35 40 45
pants:2 4 6 8 10 12 14 16 18 20
john-7:3
table:
shirts:7 14 21 28 35 42 49 56 63
pants:3 6 9 1 2 15 18 21 24 27
