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Mrrafil [7]
2 years ago
14

Find the measure of the missing angles.

Mathematics
1 answer:
Alenkinab [10]2 years ago
8 0

Answer:

d = 69°, e = 32°, f = 79°

Step-by-step explanation:

the 69° angle and d are vertical angles, so d is 69°.

same with e and the 32° angle, so e is 32°.

the 69° angle and f are on a straight angle, which means they, and e, add up to 180° when combined.

69 + 32 = 101

180 - 101 = 79

so f is 79°.

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Write 7^3 × √ 7 as a single power of 7​
olga_2 [115]

Step-by-step explanation:

7^3 × 7^(1÷2)

= 7^(3+ 0.5)

=7^3.5 ans

8 0
3 years ago
The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?​
djyliett [7]

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

4 0
2 years ago
Kenyon earns $105 for mowing 3 lawns. How much<br>would Kenyon earn for mowing 10 lawns?​
svp [43]

Answer:

$350

Step-by-step explanation:

3 lawns --------------> $105

find unit rate:

1 lawn -------------> $105 ÷ 3 = $35 per lawn

10 lawns --------> $35 per lawn x 10 lawns = $350

7 0
3 years ago
Read 2 more answers
HELP PLEASEEEE!!!!!!!!
ozzi

Answer:

C

Step-by-step explanation:

We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.

3 0
3 years ago
Read 2 more answers
A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

6 0
3 years ago
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