Answer:
x=5 y=-1
Step-by-step explanation:
7x-2y=37
[2(4x+y=19)]=
8x+2y=38
---------------------
15x/15=75/15
x=5
[4(5)+y=19]
y=-1
Answer:
4
Step-by-step explanation:
If two variables are proportional then
...(i)
where, k is constant of proportionality.
The given equation is
...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable:
Dependent variable:
Constant of proportionality:
Therefore, the constant of proportionality is 4.
Answer:
<em>29.2 and 60.8 </em>
Step-by-step explanation:
x° + x° + 31.6° = 90°
2x + 31.6 = 90
2x = 58.4
x° = 29.2°
90° - 29.2° = 60.8°
<em>29.2</em><em> and </em><em>60.8</em><em> </em>
The ratios of sides in a 30°-60°-90° triangle are such that the hypotenuse (AB) is double the length of the shortest side (AC). In your triangle, AC is the hypotenuse of similar triangle ACD, which has AD as its shortest side.
Then
(1/2)×(AD+54) = AC
(1/2)×AC = AD
Together, these tell you
AD = (1/4)(AD +54)
3×AD = 54
AD = 18