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Anarel [89]
3 years ago
7

Better to be a free bird than a captive king

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
What is the question?
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HELPPPPP
soldi70 [24.7K]

x=50  

Step-by-step explanation:

angle 1 and 3 are corresponding angles that menas they equal the same

so set it up like this 2x+10=110 solve for x

move over the 10, subtract 10 from 110 you get 100 and divide by 2

you get 50.

8 0
2 years ago
Read 2 more answers
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden. He wants the length of
Komok [63]

Answer:

Length = 6.25 feet

Step-by-step explanation:

Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.

Let the width is x.

Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet

Perimeter = 20 feet

2(l+b) = 20

(l+b) = 10

(x+2.5+x) = 10

2x+2.5 = 10

2x = 7.5

x = 3.75 feet

Length = (x+2.5)

= (3.75+2.5)

= 6.25 feet

So, the length of the garden is 6.25 feet.

3 0
3 years ago
How many numbers are 10 units from 0 on the number line?​
Travka [436]

Answer:

2 Numbers; -10, and 10.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
2 years ago
4. Jonathan takes his dog to be groomed. The fee to groom the dog is $80 plus 6.75% tax.
frutty [35]

Step-by-step explanation:

Tax charge

80 × 6.75/100 = 5.4

Cost + tax charge

80 + 5.4 = 85.4

Tip (15% of cost and tax)

85.4 × 15/100 = 12.81

(Cost + tax charge + tip)

85.40 + 12.81 = 98.21

therefore, $95 is not enough.

3 0
3 years ago
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