<u>Answer-</u>
<em>The coordinate of the vertex is </em><em>(7, 12)</em>
<u>Solution-</u>
The coordinates of two end points of the base are, (4, 0), (10, 0)
As the triangle is an isosceles triangle, so the other vertex will be on the perpendicular bisector of the base.
The mid-point of the base is,




As given that the length of the height is twice that of the base,
Length of the base is,




Length of the height will be 
So the vertex is 12 units vertically up from the mid-point (7, 0). Then the coordinate of the point will be (7, 12)
Answer:
Step-by-step explanation:
12 (x + 2) - 4x = 4 (2x + 11) - 20
12 + 24 - 4x = 8x + 44 - 20
36 - 4x = 8x + 24
36 - 24 = 8x - 4x
12 = 4x
---- ----
4 4
3 = x
-x = -3
x = 3
Answer:
i need to see the figure
Step-by-step explanation:
9514 1404 393
Answer:
2/5, 7/15, 8/15, 3/5, 2/3
Step-by-step explanation:
If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:
6/15 = 2/5
7/15
8/15
9/15 = 3/5
10/15 = 2/3
_____
<em>Alternate solutions</em>
There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...
0.34, 0.40, 0.50, 0.60, 0.70
or
0.41, 0.52, 0.63, 0.74, 0.79
7 hours + 6 hours + 6 hours
=19 hours
12 minutes + 46 minutes + 53 minutes
=111 minutes
=1 hour 51 minutes
19 hours + 1 hour and 51 minutes is 20 hours and 51 minutes. This is the total time.
Average time = total time/number of deliveries
(20 and 51/60) divided by 3
=6.95 hours
= 6 hours and 57 minutes