since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
Answer:
b
Step-by-step explanation:
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
Answer:
37 pages per hour
Step-by-step explanation:
Given that :
Time Given to read = 45 minutes ; 45 / 60 = 0.75
Number of pages readable ad by Davida within the given time frame = 27 3/4 pages
David's reading rate in pages per hour :
Number of pages read / time taken (hrs)
[27 3/4] ÷ (45/60)
[111 / 4] ÷ (45/60)
(111 / 4 ) * (60/45)
(111 * 60) / (4 * 45)
6660 / 180
= 37 pages per hour
Answer:
n = 1
Step-by-step explanation:
So the first step is to simplify the top equation:
(3v + 7) - (8v + 6)
distribute the negative sign to get rid of the second parentheses:
3v + 7 - 8v - 6
now, combine like terms
-5v + 1
Since it says it needs to be equivalent to (-5v + n), n is 1
