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icang [17]
3 years ago
11

Need help with a math question

Mathematics
1 answer:
krek1111 [17]3 years ago
4 0

Answer:

x=13°

Step-by-step explanation:

If BE is an angle bisector, then it divides the angle into two equal angles. This means that

∠ABE=∠EBC

Since ∠ABE=2x+20 and ∠EBC=4x-6, we have

2x+20=4x-6

2x-4x=-6-20

-2x=-26

2x=26

x=13°

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3 years ago
Cassandra works at a bookstore. Yesterday, she sold 18 hardcover books. The rest of the books she sold were paperback books. She
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3 years ago
Moving forward a negative distance is the same as moving backward a positive distance.
creativ13 [48]
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6 0
3 years ago
What is the biggest area of a quadrilateral you can fit in a circle that has a
erik [133]

Answer: 200 square units

Step-by-step explanation:

Given

Circumference of the circle is 20\pi

Suppose r is the radius of the circle

The biggest area of a quadrilateral that can fit in a circle is of square.

Deduce the radius of the circle

2\pi r=20\pi\\r=10\ \text{units}

Suppose the side of the square is a

from the figure, we can write

\Rightarrow a^2+a^2=(2r)^2\\\Rightarrow 2a^2=4r^2\\\Rightarrow a=\sqrt{2}r\\\Rightarrow a=10\sqrt{2}\ \text{units}

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7 0
3 years ago
A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³.
user100 [1]

Answer:

  • The radius of the container is approximately 4.89 cm

Step-by-step explanation:

<h3>Given </h3>

A container with:

  • r = h
  • S = 300 cm²

<h3>To find</h3>

  • The radius of the container

<h3>Solution</h3>

Use the equation for total surface area of cylinder:

  • S = 2πr² + 2πrh or S = 2πr(r + h)

Since we have r = h and the value of S is known, let's solve this equation:

  • 2πr(r + h) = 300
  • 2πr(r + r) = 300
  • 2πr(2r) = 300
  • 4πr² = 300
  • πr² = 75
  • 3.14r² = 75
  • r² = 75/3.14
  • r² = 23.89 (rounded)
  • r = √23.89
  • r = 4.89 cm (rounded)
3 0
2 years ago
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