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Bas_tet [7]
2 years ago
9

Find the measure of 2

Mathematics
2 answers:
ohaa [14]2 years ago
7 0

Answer:

36°

hope it helps and your day will be full of happiness

chubhunter [2.5K]2 years ago
4 0
36°
the opposing angle thats also 36° is noticeably the same. these angles are the same, which mean they have the same measure.
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Plz hurry!!!! thank you!!!!
Nikitich [7]

Answer:

Area of trapezium = 4.4132 R²

Step-by-step explanation:

Given, MNPK is a trapezoid

MN = PK and ∠NMK = 65°

OT = R.

⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).

Now, sum of interior angles in a quadrilateral of 4 sides = 360°.

⇒ x + x + 65° + 65° = 360°

⇒ x = 115°.

Here, NS is a tangent to the circle and ∠NSO = 90°

consider triangle NOS;

line joining O and N bisects the angle ∠MNP

⇒ ∠ONS = \frac{115}{2} = 57.5°

Now, tan(57.5°) = \frac{OS}{SN}

⇒ 1.5697 = \frac{R}{SN}

⇒ SN = 0.637 R

⇒ NP = 2×SN = 2× 0.637 R = 1.274 R

Now, draw a line parallel to ST from N to line MK

let the intersection point be Q.

⇒ NQ = 2R

Consider triangle NQM,

tan(∠NMQ) = \frac{NQ}{QM}

⇒ tan65° = \frac{NQ}{QM}

⇒ QM = \frac{2R}{2.1445}

QM = 0.9326 R .

⇒ MT = MQ + QT

          = 0.9326 R + 0.637 R  (as QT = SN)

⇒ MT = 1.5696 R

⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R

Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).

⇒ A = (\frac{NP + MK}{2}) × (ST)

       = (\frac{1.274 R + 3.1392 R}{2}) × 2 R

       = 4.4132 R²

⇒ Area of trapezium = 4.4132 R²

5 0
3 years ago
What type of line is the graph of x = −2?
Black_prince [1.1K]
X=-2 would be a VUX line 
3 0
3 years ago
Read 2 more answers
Find the inverse of this 3x3 matrix. [1 5 2]
MissTica
Lets say the 3x3 Matrix is 

M =   [1   5   2 ]
         [1   1   7 ]
         [0  -3   7 ]

We apply the Gauss-Jordan elimination method (Procedure and result shown in the image below)

5 0
3 years ago
A circular bath tub base has a radius of 2 ft and a depth of one foot. what is the maximum volume of water it can hold ?
Arlecino [84]
Does the circular bath tub are cylinders?

If yes,the ans
Volume of water
0.6096^2π×0.3048
=0.112367386π
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6. Andy walked around the perimeter of the park four times. The park is 500 feet by 750 feet. What is the total distance he walk
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I got 2.000 +3.000 it B
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