Answer:
CODE: 1977.98
Step-by-step explanation:
A.
(To get the closest answer, round the circumference to the nearest ten thousandth.)
C = 2(3.14)r Circumference formula: C = 2πr
C = 2(3.14)(3)
C = 18.84
B.
A = (3.14)r²
A = (3.14)(3)²
A = (3.14)(9)
A ≈ 28.26
C. (It's asking for the circumference.)
C = 2(3.14)r
C = 2(3.14)(58)
C ≈ 364.24
D. (It's a linear pair, which is 180 degrees.)
4x + 2x = 180
6x = 180
x = 30
m∠ABD = 4x
m∠ABD = 4(30)
m∠ABD = 120°
E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)
x + 7 = 3x - 21
28 = 2x
14 = x
F. (x = 14)
m∠JHK = 3x - 21
m∠JHK = 3(14) - 21
m∠JHK = 42 - 21
m∠JHK = 21°
G. (Supplementary - two angles that add up to 180 degrees.)
180 - 84
= 96°
CODE: E(C - D) - F(G - B) - A
CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84
CODE: 14(244.24) - 21(67.74) - 18.84
CODE: 3419.36 - 1422.54 - 18.84
CODE: 1977.98
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➷ Expand them all to see if you get the expression:
2(3x - 4) ==> 6x - 8
2(3x + 4) ==> 6x + 8
2(4x + 6) ==> 8x + 12
2(3x + 8) ==> 6x + 16
As you can see, the correct option is B. 2(3x + 4)
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➶ Hope This Helps You!
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15
Explanation: Plug in 9 into d which gives you 24-9. Making it 15.
Slope = (-2 + 4)/(-2-2) = 2/-4 = -1/2
y = mx + b
so
b = y - mx
b = -2 -(-1/2)(-2)
b = -2 - 1
b = - 3
equation
y = -1/2x - 3
answer is B.
y = -1/2x - 3
3 x 3 - ( (-1)^2 - 2)^2
Start evaluating the one in the most inner bracket:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1 - 2)^2
There is one more bracket, so we do what is in the bracket:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
Between x and -, we do the x first:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
= 9 - 1
Then we do the -:
3 x 3 - ( (-1)^2 - 2)^2
= 3 x 3 - (1- 2)^2
= 3 x 3 - (-1)^2
= 3 x 3 - 1
= 9 - 1
= 8
