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ira [324]
3 years ago
7

In triangle MNP, what is the measure of angle N?

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

76 degrees

Step-by-step explanation:

enjoy fellow bridgers

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Could someone help plz
Komok [63]

Answer:

The radius of the sphere is approximately 62.71 cm

Step-by-step explanation:

The question relates to the definition of a sphere

The given parameters are;

The distance between the sharp parallel blades through which the sphere is rolled = 77 centimeters

The radii of the circular faces left by cutting the sphere with the blade = 39 cm  and 60 cm

From the triangles formed by the cross-section of the sphere, we have;

AB ║ DE Given

∠A ≅ ∠E, ∠D ≅ ∠B Alternate angles

∠C ≅ ∠C by reflective  property

∴ ΔABC ~ ΔDCE by Angle-Angle similarity theorem

CF/CG = AB/DE = 78/120 = 13/20

CF = CG × 13/20

CF + CG = 77

∴ CG × 13/20 + CG = 77

33·CG/20 = 77

∴ CG = 140/3

CF = 13/20 × CG = 13/20 × 140/3 = 91/3

CF = 91/3

The diameter of the sphere AE = AC + EC

By Pythagoras's theorem

AC = √(FA² + CF²) = √(39² + (91/3)²) = 13·√(130)/3

EC = √(CG² + GD²) = √((140/3)² + 60²) = 20·√(130)/3

∴ AE = AC + EC = 13·√(130)/3 + 20·√(130)/3 = 11·√(130)

The diameter, 'D', of the sphere, AE = 11·√(130)

The radius of the sphere = D/2 = 11·√(130)/2 ≈ 62.71 cm

7 0
3 years ago
Please help me with this question
Alenkinab [10]

Answer:

A

Step-by-step explanation:

Remark

f and d are equal (and acute) because they are corresponding angles.

82 and f are supplementary, so we can find f

Finding f

f + 82 = 180

f = 180 - 82

f = 82

Finding d

d = f

d = 82

5 0
3 years ago
Mickey said that 45.7654 rounded to the nearest thousandth is 45.765 and Nicole said that it was 45.766. Who is correct and why?
Nesterboy [21]

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

5 is the thousandth place so look to the right. If the number to the right is greater than 5 it'll round to 47.766 but since it's a four ti rounds down.

8 0
3 years ago
Read 2 more answers
How do I solve numbers 8 and 9?
Tresset [83]
8: 20
9: 90
I am so sorry if this is wrong. I am not good at this type of things
7 0
2 years ago
If you multiply 5(2x+3+4y), the answer is ______
Volgvan

Answer:

You don't even need to do the whole question. Just look at 5 times 2x. which is 10x then u get your answer

6 0
3 years ago
Read 2 more answers
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