Answer: 3/7 sorry if wrong
Step-by-step explanation:
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
4a.4²x +3=1
Slotuion:
4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
![\frac{16 \times }{16} = [tex] \frac{ - 2}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%5Ctimes%20%7D%7B16%7D%20%3D%20%3C%2Fp%3E%3Cp%3E%5Btex%5D%20%5Cfrac%7B%20-%202%7D%7B16%7D%20)
[/tex]
Simplitfy
Simplify
<em>x</em> = -⅛
therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258
Probability = (number of possible successes) / (number of total possibilities).
<u>Number of total possibilities:</u>
Each cube can come up in 6 different ways.
Total number of possibilities = 6 x 6 = 36
<u>Possible successes:</u>
There are 2 different ways to roll a 3 . . .
1 . . . 2
or
2 . . . 1
The probability is 3/36 = 1/12 = 0.0833... = (8 and 1/3) percent
Answer:
0.4 or 4/10 as a fraction
Step-by-step explanation:
