Answer:
x = 6
Step-by-step explanation:
Givens
There are 3 sides. All are equal to (4x - 3)
Their sum = 63
Formula
3(4x - 3) = 63
Solution
- 3(4x - 3) = 63 Divide by 3
- 12x - 9 = 63 Add 9 to both sides
- 12x = 63 + 9
- 12x = 72 Divide by 12
- x = 72/12
x = 6 Answer
Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
The slope is referred to as m, insert it and you are done
so y=14x is the solution
Answer:
They will be 170 miles apart at 10 AM
Step-by-step explanation:
Nancy has 15´ of head start which is 1/4 hr.
NHD = 20*(1/4) = 5 miles is her head start
Mark leaves at 7.15hs = starting point
Marks stop at when they are 170 miles apart = t
------------------------------
t = the time they are 170 miles apart
d= distance in miles Nancy travels in time t
170 - (d+5) = distance in miles Mark travels in time t
------------------------------
Nancy's equation:
(1) d = 20t
Mark's equation:
(2) 170 - (d+5) = 40t
---------------------------
(2) 170-d-5=40t
(2) d+40t=165
Substitute (1) into (2)
(2) 20t+40t=165
(2) 60t=165
(2) t=2.75
7:15 AM + 2.75 hrs (2:45hs) = 10 AM
They are 170 miles apart at 10 AM
check:
(1) d=20t
(1) d=20*2.75
(1) d=
55
---------------
(2) 170 - (d+5) = 40t
(2) 170 - (d+5) = 40*2.75
(2) 170 - d-5 = 110
(2) d=55