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Oksana_A [137]
2 years ago
5

4. Use the equation A = bh to calculate the

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
3 0

Answer:

4

Step-by-step explanation:

36 = 9*h

9*h = 36

h = 36/9

h = 4

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Look at the circle you created that has point C (the midpoint of AB) as its center and passes through point A. What can you say
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The inscribed angle on the circumference of the circle subtended by the diameter at the center is a right angle

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The measure of angle BDA is 90°

What can be said about angle BEA is; Angle BEA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BEA is 90°

The given diagram shows;

Circle with midpoint <em>C</em>, along AB, and radius AC

The diameter of circle C = AB

Circle with midpoint <em>A</em>, intersecting with circle <em>C</em> at points <em>D</em> and <em>E</em>

Tangents from point B on circle, <em>C</em>, intersect with circle <em>A</em> at points <em>D</em> and <em>E</em>

<em> </em>

Required parameters;

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The segment AB is a line that intersects the circle <em>C</em> at two points and also passes through the the point <em>C</em> which is the center of the circle <em>C</em>

Therefore, the segment AB is the diameter of the circle with center at <em>C</em>

  • What can be said about angle BDA

The angle BDA is the inscribed angle of circle <em>C</em> subtended by the points <em>A</em> and <em>B</em> which specifies the diameter of the circle with midpoint <em>C</em>

Therefore, the angle BDA is subtended by the diameter of the circle at the center

According to circle theorem, we have;

Angle subtended at the center = 2 × The angle subtended at the circumference

The angle subtended at the center by the diameter AB = 180° (Angle on a straight line)

Therefore;

The angle subtended at the center = 180° = 2 × Angle BDA

Angle BDA = 180°/2 = 90°

Angle BDA  = 90°

  • What can be said about angle BEA

Similarly, we have;

The angle subtended at the center = 180° = 2 × Angle BEA

Angle BEA = 180°/2 = 90°

Angle BEA = 90°

Find out more about inscribed angles of a circle here:

brainly.com/question/17021375

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<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

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Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

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x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

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