Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet
1 answer:
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?
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
Answer:
x = 22.5
Step-by-step explanation:
The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is
(4x + 5 - 50 ) = x ( multiply both sides by 2 )
4x - 45 = 2x ( subtract 2x from both sides )
2x - 45 = 0 ( add 45 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5
Answer:
6
Step-by-step Explanation:
To simplify , we will look for numbers that 504 can be divided by until there are no perfect square roots under the radical.
[] To do this, we can think of perfect square roots such as 4, 9, 16, etc
We can divide 504 by 36 for an answer of 14, so can be written as
which can be written as 6
because the square root of 36 is 6.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather