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3 years ago

Use the figure.

Mathematics

1 answer:

jonny [76]3 years ago

5 0

we know that

any pairs will be linear when the value of sum of angles is 180

we will check options

option-1:

we can see that

∠7 and ∠6 are in a straight line

so,

∠7 + ∠6=180

so, this is TRUE

option-2:

we can see that

∠7 and ∠8 are in a straight line

so,

∠7 + ∠8=180

so, this is TRUE

option-3:

we can see that

∠7 and ∠9 are vertically opposite angles

so,

∠7= ∠9

so, this is FALSE

option-4:

we can see that

∠7 and ∠5 are corresponding angles

and lines are parallel

so,

∠7= ∠5

so, this is FALSE

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Answer: 47

Step-by-step explanation: To solve this problem, let's use t to represent our tens digit and u to represent our units digit so that the value of our number can be represented as 10t + u.

If we represent the value of our number as 10t + u, the value of the number with the digits reversed can be represented as 10u + t.

Since the first sentence states that the sum of the digits of a two-digit number is 11, that's t + u = 11.

Reading through our second sentence, when the digits are reversed, the new number is 27 more than the original number, that's 10u + t "is" which means equals 27 more than the original number that's 10t + u + 27.

So 10t + u = 10t + u + 27.

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To solve this system, let's use addition so multiply the top equation by 9 to get 9u + 9t = 99 and 9u - 9t = 27 so that when we add the equations together the t's cancel and we get 18u = 126. Dividing both sided by 18, u = 7.

To find t, plug 7 back in for u in our first equation to get t + 7 = 11. Subtract 7 from both sides and t = 4.

Since our tens digit is 4 and our units is 7, our number must be 47.

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