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3 years ago

Which is a true statement about an exterior angle of a triangle?

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

5 0

Solution:

we have been asked to find the true statement about the exterior angle from the given statements.

As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle.

The pair lies on the same straight line and makes a pair.

Hence we can say that it is formed by a linear pair with one of the interior angles of the triangle.

Hence the correct option is D.

8090 [49]3 years ago

4 0

D. It forms a linear pair with one of the interior angles if the triangle. This is 100% right im taking the test rn and i got it right.yw

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The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l

miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0

2 years ago

Tom and Jerry enter a race. Tom runs an average of 10 kilometers per hour, and Jerry runs an average of 9 kilometers per hour. I

Zielflug [23.3K]

I am almost positive that the answer is 45 km

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3 years ago

Read 2 more answers

Write six hundred twelve thousand, three hundred in the place -value chart. then write the number in expanded form.

Amanda [17]

6 - hundred thousand
1 - ten thousands
2 - thousands
3 - hundred
0 - tens
0 - ones

600,000 + 10,000 + 2,000 + 300

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3 years ago

Read 2 more answers

Jessica is selling tickets for her softball team for $10 a ticket. Laurie is selling tickets for her softball team for $6 a tick

Mkey [24]

Answer:

90 tickets

Step-by-step explanation:

let the number of tickets be x

and the total amount each has be y

For Jessica

the amount is

y=10x--------1

for Laurie the amount is

Note: she has $360 already

y=360+6x-------2

to find the number of the tickets that will make them have the same amount, let us equate 1 and 2

10x=360+6x

10x-6x=360

4x=360

x=360/4

x=90

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2 years ago

What’s is the probability that you, your relatives and your friends are not chosen to be either of the first two contestants?( r

nekit [7.7K]

Answer:

The probability that I, my relatives or my friends are not chosen to be either of the first two contestants is 0.7744 or 77.44%

Step-by-step explanation:

Please kindly check the attached file for explanation

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2 years ago