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Sindrei [870]
2 years ago
11

If a +2<b+3 then ____.a-b<1a<b+1a<bb<a​

Mathematics
2 answers:
OLga [1]2 years ago
6 0

Answer:

a<b+1

Step-by-step explanation:

a +2<b+3

a<b+3-2

a<b+1

skad [1K]2 years ago
6 0

Answer: a - b < 1 or a < b + 1

a + 2 < b + 3

⇔ a - b < 3 - 2

⇔ a - b < 1

Step-by-step explanation:

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Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,
alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

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2 years ago
Batman took a bicycle trip. In all, he traveled 6 hours at a rate of 28 mph. What was his total distance ?
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Distance=speed x time
so it would be 28 x 6=168
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Answer:

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Step-by-step explanation:

80\%  \: of  \: x = 100 \\  \\ 0.8x = 100 \\  \\ x =  \frac{100}{0.8}  \\  \\ x = 125

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3 years ago
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When is the magnetic field the strongest?
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When it's by the magnetic poles
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Which statement best describes the interquartile range of this set of weights?
Alex Ar [27]

Answer:

D

Step-by-step explanation:

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