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Serga [27]
1 year ago
14

Drag the tiles to the boxes to form correct pairs. In the diagram, transversal t cuts across the parallel lines a and b. Match t

he pairs of angles with the relationship that shows they are congruent. alternate exterior angles ∠2, ∠3 and ∠5, ∠8 alternate interior angles ∠1, ∠8 and ∠2, ∠7 corresponding angles ∠3, ∠6 and ∠4, ∠5 vertical angles ∠1, ∠5 and ∠2, ∠6 arrowBoth arrowBoth arrowBoth arrowBoth
Mathematics
2 answers:
yarga [219]1 year ago
7 0
Where are the type of answers for this question
yuradex [85]1 year ago
6 0

Answer:

here

alternate exterior angles--∠1, ∠8 and ∠2, ∠7

alternate interior angles--∠3, ∠6 and ∠4, ∠5

corresponding angles--∠1, ∠5 and ∠2, ∠6

vertical angles--∠2, ∠3 and ∠5, ∠8

Step-by-step explanation:

You might be interested in
Suppose that in a survey of 1,000 U.S. residents, 721 residents believed that the amount of violent television programming had i
Art [367]

Answer: 0.813

Step-by-step explanation:

Let A be the event describes the number of residents believed that the amount of violent television programming had increased over the past 10 years.

& B be the event describes the number of residents believed that the amount of violent television programming had decreased over the past 10 years.

Given : n(A)=721   ;  n(B)=454  ;  n(A∩B)=362

We know that ,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

i.e. n(A\cup B)=721+454-362=813

Also, the total number of U.S. residents surveyed n(S)= 1,000

Then, the  proportion of the 1,000 U.S. residents believed that either the amount of violent programming had increased or the overall quality of programming had decreased over the past 10 years will be :-

P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}=\dfrac{813}{1000}=0.813

Hence, the required answer = 0.813

3 0
1 year ago
Naomi and her children went into a bakery where they sell donuts for $1.25 each and cookies for $0.75 each. Naomi has $15 to spe
LiRa [457]

Answer:

I dont know the ans can u pls tell me the ans if you get it

4 0
1 year ago
If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment
Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = \frac{0.054}{12}= 0.0045

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest  

First compute the Equated monthly installments (EMI) as follows:

EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21

Now compute the interest as follows:

Interest=P\times r\\=15000\times0.0045\\=67.5

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest  

                                                 = 453.21 - 67.5

                                                 = 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0
1 year ago
Read 2 more answers
A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
Naily [24]

To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

 

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
1 year ago
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