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
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) 
= a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
Answer:
4.5
Step-by-step explanation:
8 + 7 + 6 + 5 + 4 + 3 + 2 + 1/8
36/8
=4.5
Answer:
y=-6/5x - 1
Step-by-step explanation:
Slope intercept form is y=mx+b so first lets get it into correct order by subtracting the 6x to the other side.
6x-6x+5y=-5-6x
This gives you
5y=-6x-5
Now you need to isolate the y since the 5 is being multiplied by the variable "y" we need to divide to to separate. Divide all terms by 5.
5y/5=-6/5x+(-5)/5
This gives you your final answer:
y=-6/5x - 1
