Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

a) Plots are similar
b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>

a) Are the plots of land similar?
b) Find to the exact value of x and rounded to the nearest tenth?

<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

6180 and 8240
x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

6180/8240 = x/7436
x = 6180*7436/8240
x = 5577 feet

You might be interested in

A composition of two isometries results in __________.

julia-pushkina [17]

Definition: A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

Four types of isometries:

1. Translation -- sliding a shape from one spot to another on the xy-plane;

2. Reflection -- creating a mirror image of a shape by reflecting a shape over a line, called the axis of reflection, on the xy-plane;

3. Rotation -- rotating a shape around a point, called the center of rotation, on the xy-plane;

4. Glide reflection -- a composite transformation which is a translation followed by a reflection in line parallel to the direction of translation.

Translations, reflections, and rotations don't change the shape or size of the shape being transformed, so we can see that these three types of transformations are isometric, the glide reflection doesn't change the shape or size of the shape being transformed, but changes orientation.

A composition or sequence of isometries occurs when two or more transformations are combined to form a new transformation. In a composition, one transformation produces an image upon which the other transformation is then performed (as for the glide reflection). The composition of isometries is always the isometry (preserves lengths).

Answer: correct choice is B.

7 0

3 years ago

Read 2 more answers

Frank rolls a fair dice and flips a fair coin.

Stels [109]

Answer:

Prime number - 3/6 = 1/2

Head - 1/2

Step-by-step explanation:

prime numbers are 2, 3 and 5 on a die

5 0