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Jobisdone [24]
2 years ago
6

A side view of the top of a building is shown in the diagram below. The measure of angle MNT is 72 degrees. The measure of angle

QTS is 34 degrees. Line segment SQ is parallel to line segment MN. Find the measure of angle QSR.

Mathematics
2 answers:
bulgar [2K]2 years ago
7 0

Answer:

142°

Step-by-step explanation:

Make a line parallel to RT to create alternate internal angles

ad-work [718]2 years ago
7 0

Answer:

  • 142°

Step-by-step explanation:

<u>Since QS ║ MN, the following equations are true:</u>

  • m∠SQT = m∠QNM as alternate interior angles
  • m∠QNM = 180° - 72° = 108° as linear pair

The angle QSR is exterior of ΔSQT.

<u>Exterior angle measure is the sum of non-adjacent interior angles:</u>

  • m∠QSR = m∠SQT + m∠STQ
  • m∠QSR = 108° + 34° = 142°
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Step-by-step explanation:

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3 years ago
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3 years ago
How do I find the value of x?
UkoKoshka [18]
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6 0
3 years ago
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

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therefore, d=2

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->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

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8 0
3 years ago
What is the value of x in the triangle?
yulyashka [42]
<h3>Answer: C) x = 13</h3>

====================================================

Work Shown:

We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.

Use the pythagorean theorem to find x.

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5^2 + 12^2 = x^2

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x = sqrt(169)  .... apply the square root to both sides

x = 13

4 0
3 years ago
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