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>
<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
The required distance covered is 90 units
<h3>Distance formula</h3>
The formula for calculating the distance between two points is expressed as shown:
The required coordinates missing are (0, 42.78) and (90.42.78). Substiute the coordinate into the formula:
Hence the required distance covered is 90 units
Learn more on distance formula here: brainly.com/question/1872885
Answer:
Landing on a 1 or 2.
25% means 0.25, or 2/8 chance of winning. The spinner has 2 out of 8 as 1 or 2.
For this case we have:
If after 2 hours the marathon runner has traveled 22 kilometers we have:
2h -----------> 22km
Applying a rule of three, we can know the time it takes to run 42km. So, we have:
2h -----------> 22km
x -------------> 42km
Where "x" is the time it takes to travel 42km. Resolving we have:
Thus, after 3.82 hours the marathon runner will travel 42km.
Answer:
3.82 hours
