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Sonbull [250]
2 years ago
11

Fill in the blank (no word bank)

Mathematics
1 answer:
timofeeve [1]2 years ago
7 0

Answer:

Alternate Interior Angles:

∠3 ≅ ∠5

Corresponding Angles:

∠3 ≅ ∠7

∠4 ≅ ∠8

Supplementary Angles:

∠3 is supplementary to ∠6

Step-by-step explanation:

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The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
erica [24]

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

3 0
3 years ago
Which of the following is an arithmetic sequence?
JulsSmile [24]

Answer:

C

Step-by-step explanation:

an arithmetic sequence is a sequence in which you use addition/subtraction in order to achieve each term. Choice A alternates between the negative and positive therefore you can tell that it's multiplying each time, and the same goes for D, those two are incorrect. B is incorrect because you cannot add/subtract a number each time to get the next term. C, if you attempt to find the difference between in each term in choice C you will succeed and find that each time you add 3/2 each time to get the next term.

7 0
3 years ago
Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
RUDIKE [14]

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

4 0
2 years ago
Ashley needs to buy some pencils. Brand A has 20 pencils for $6. Brand B has 40 pencils for $8.50. Based on the unit price, whic
Kruka [31]

Answer:

The answer to your question is Brand B

Step-by-step explanation:

Data

Brand A   amount of 20 pencils     cost $6

Brand B   amount of 40 pencils     cost $8.5

Process

1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils

Brand A      6/20 = $0.3

Brand B      8.5/40 = $0.21

2.- Conclusion

Brand B is a better deal because you buy more pencils for a lower price.

3 0
3 years ago
Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha
Stels [109]

Answer:

a) 0.1535

b) 0.4866

c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

  • p(t) = 1 -e ^{- t/3}

According to this model,

a) the probability that a call in comes within 1/2 minutes is p(t) = 1 -e ^{- (1/2)/3} =0.1535

b) the probability that a call in comes within 2 minutes is  p(t) = 1 -e ^{-2/3} =0.4866

c) the probability that a call in comes within 5 minutes is  p(t) = 1 -e ^{-5/3} =0.8111

6 0
3 years ago
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