Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
d(0,0)
i(5,5)
n(8,4)
g(7,1)
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
Let <span>simplify the equations
and
:
</span>
<span>1)
</span>
<span>and
</span>
<span>2)
.
</span>
<span>Equate the coefficients:
</span><span>
</span><span>
.</span>
Then
and mnp=24.
<span />
50 since a triangle has to equal 180, trust!
Answer:363
Step-by-step explanation:
We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)
The sequence actually is 3^5,3^4.,3^3.....
Therefore first 5 terms are 1) 3^5 I.e. 243
2) 3^4 I.e. 81
3) 3^3 I.e. 27
4)) 3^2 I.e. 9
5) 3^1 I.e. 3
Adding all those no. we get partial sum of first 5 no. of the sequence
So, 243 + 81 + 27 + 9 + 3
= 363
Hope it helps!!!
Answer:
40 miles per hour
Step-by-step explanation:
change hours and minutes to hours
12 minutes = 12 minutes * 1 hr/ 60 minutes = 12/60 hrs
12/60 = 1/5 = .2 hours
1 hours 12 minutes = 1.2 hours
48 miles in 1.2 hours
48/1.2 = 40 miles/hour
