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neonofarm [45]
3 years ago
15

Find the measures of the requested angles.

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

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The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

<h3>What is rectangle?</h3>

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A rectangular swimming pool measures 7.5 m by 4.5 m.

It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.

The total length of the fence = 2(7.5+3×2 + 4.5+3×2)

The total length of the fence = 2(7.5+6 + 4.5+6)

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4 0
2 years ago
What is the best approximation for the circumference of a circle with a diameter of 300 feet
garri49 [273]

Answer:

The answer is C=942.48

Step-by-step explanation:

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Since the problem gave you the diameter which is the length from one side of the circle to the other, you have to divide the diameter in half. Which would give you a radius of 150.

Taking the 150 you would multiply 10*2*π.

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I hope this helps!!

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3 0
3 years ago
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Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

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Scalene: No congruent sides or angles

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obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

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Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

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3 years ago
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Now checking a normal curve table the percentage of z score over 2.02 is 0.0217

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