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:
Each hat is $5
Each mask is $3
Step-by-step explanation:
Hat= x dollars
Mask= y dollars
Now,
3 hats and 4 mask sold = $27
We can write
3x + 4y = 27
Adding the second equation (-1 times 1st equation) gives us;
3x + 6y = 33
-1* (3x + 4y = 27)
3x + 6y = 33
-3x -4y = 27
2y = 6
y = 6/2
***y = 3***
Now we replace y= 3 into 1st equation and solve for x:
3x + 4y = 27
3x + 4(3) = 27
3x + 12 = 27
3x + 15
x = 15/3
***x= 5***
Each hat costs $5
Each mask costs $3
To turn a decimal into a fraction move the decimal point two spots over (Ex: 0.34=34%). To turn a fraction into a decimal get the denominator to 100 by multiplying both the top and bottom by whatever number needed (must both be multiplied by the same number) or divide to top number into the bottom number of you can’t multiply.
Answer:
$2229.27
Step-by-step explanation:
tax rate: 10.25%
tax amount: $228.50
price before tax: x
10.25% of x = $228.50
0.1025x = 228.5
x = 228.5/0.1025
x = 2229.27
Answer: $2229.27
Answer:
I believe it would be - (n+4) x 2
Step-by-step explanation:
