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Sedbober [7]
3 years ago
13

Answer the question about the angles below.

Mathematics
1 answer:
kaheart [24]3 years ago
3 0
To find angle Y, take 180 degrees (linear pair) minus 35 degrees (angle X).
180-35=145 degrees
Angle Y=145 degrees
Angle W is also 145 degrees since it’s a vertical angle to Angle Y.
To find angle N, take 90 degrees (complementary angle) minus 55 degrees (angle M).
90-55=35 degrees
Angle N=35 degrees
Hope this helped!
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Use compatible numbers to estimate the quotient 82 divided by 5514
wolverine [178]
5514 is about 5600
82 is about 80

5600 divided by 80 = 70
8 0
3 years ago
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Plzzzz help me i beg u this is a major test<br>I will even drop 50 points
Dafna11 [192]
Sorry mate, I can help with 8.) and 9.)
8.) angle T=180-(21+35)
T=180-56
T=124
Angle V=124
Triangle TUV is an isosceles triangle therefore, it has two equal sides and two equal angles.
9.) Angle WSV=21 degree
Triangle TSV is an isosceles triangle therefore, it has two equal sides and two equal angles.
TSV=21+21=42 degree
Had to run, can’t do rest. Hopefully, this helped a bit. Good luck.
4 0
3 years ago
The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year
Marizza181 [45]

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

<h3>What is Logarithm?</h3>
  • The opposite of exponentiation is the logarithm.
  • This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
  • A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given:

  • y = 6.72 ( 1.014^x), where
  1. y = population in billions
  2. x = time in years

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72  ( 1.014^x)

=> \frac{8}{6.72}= ( 1.014^x)

Taking log on both sides

=> log(\frac{8}{6.72})= log( 1.014^x)

=> log(1.19) = x (log 1.014) (as log_b(a)^m = m (log_b(a)) )

=> \frac{log(1.19)}{log (1.014)} = x

=> x = \frac{0.0755}{0.006}

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

5 0
1 year ago
Write an equation giving the following: m=-1, y-int =8
Karolina [17]

Answer:

y = -x + 8

Step-by-step explanation:

Equation of a line is:

y = mx + c

m = -1

c = 8 (y-intercept)

y = -x + 8

7 0
3 years ago
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When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movie
enot [183]

Answer:

S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}

Step-by-step explanation:

Given

Restaurant = \{P,B\}

Movies = \{R,A,D\}

Post-movie = \{C,I\}

Required

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To do this, we simply pick 1 item in each category, without repetition.

So, we have:

S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}

4 0
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