Answer:
infinite solutions
Step-by-step explanation:
Given
- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides
- 6n + 48 = 48 - 20n + 14n, that is
- 6n + 48 = 48 - 6n ( add 6n to both sides )
48 = 48 ← True
This indicates that the equation is true for any value of n
Which of the tables represents a function ? Table P 8,3 1,7 5,4 Table Q 9,3 9,5 4,2. Table R 7,2 8,6 7,3. Table S 1,7 1,5 9,2 Ta
babymother [125]
Table P because it is a one-to-one relation.
The other 3 are one-to-many relations (eg table Q maps 9 on to 3 and 9 on to 5)
we have that
*-------------------------*--------------------------------*
E F G
EF=2x-12
FG= 3x-15
EG=23
we know that
EF + FG = EG
so
[2x - 12] + [3x - 15] = 23 simplify
5x - 27 = 23 add 27 to both sides
5x = 50 divide both sides by 5
x = 10
EF=2x-12-------> EF=2*10-12-------> EF=8
FG= 3x-15------> FG=3*10-15------> FG=15
therefore
the answer part a) is
the value of x is 10
the answer part b) is
the value of EF is 8
the answer part c) is
the value of FG is 15
Answer:
acute triangle
because you have 2 tall sides and 1 short
Answer: 5.4
--------------------------------------
Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
