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
x=1 f = 10(5.5)(1) = 55
x=2, f = 10(5.5)(2) = 110
110-55 = 55
2-1 =1
55/1 = 55
average rate of change = 55
Answer:
There’s two options for each. Look below.
Step-by-step explanation:
Savings: there is no risk of losing any money put into this account
interest income is the only way to earn money in this type
‘investment: this account may generate income from a variety of sourses.
If no deposits or withdrawals are made, money held in this acct..
Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
