Let’s call the sum of the set of five numbers S and the sixth number N. We know the mean of the set of five numbers is 3k, so we can write the equation S/5 = 3k or S = 15k. When we add the sixth number the mean increases by k, so we can write the equations (S + N)/6 = 4k or S + N = 24k. Using S = 15k, we find that N = 9k. The ratio of the sixth number to the sum of the set of five numbers is therefore N/S = 9k/15k = 3/5.
Answer:
D) x = 40.5
Step-by-step explanation:
When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.
The left side of the larger triangle is 12 + 15, so it is 27.
The left side of the smaller triangle is 12.
So, part of the proportion will be 
The bottom side of the larger triangle is x.
The bottom side of the smaller triangle is 18.
So, part of the proportion will be 
The full proportion will be:
Cross multiply and solve for x.
27(18) = 12x
486 = 12x
40.5 = x
Answer:
25
Step-by-step explanation:
(leg1)squared +(leg2)squared =(hypotenuse)squared
Answer:
Saanvi is 15 and her brother is 7
Step-by-step explanation:
If Saanvi is 15 and her brother was 7 she would be 8 years older than her brother. If you add their ages together (15+7) it equals 22.
To get who is the fastest between Robin and Bluebird we need to write the speed in the same units, either miles per hour or feet per second. Writing Robin's speed in feet per second we shall have:
1 mile=5280 ft
thus 90 mph in ft/sec will be:
(90*5280)/3600
=132 ft/sec
given that:
132ft/sec<121ft/sec, we conclude that Robin is faster than Bluebird
