We will solve using the law of sines as follows:
Now, we solve for X:
![\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}](https://tex.z-dn.net/?f=%5CRightarrow%20X%3D%5Cfrac%7B%5Csin%2860%29%7D%7B%5Csin%2830%29%7D%5CRightarrow%20X%3D%5Csqrt%5B%5D%7B3%7D)
So, the length of X is sqrt(3).
You'll actually need to graph for the first segment
but the second part can be solved with algebra
The equation of the line is y(x)=-x
if we test the co0ordinates we can find if the point lies on the line
(5,5)
y(x)=-x
Using the x co-ordinate
y(5)= -5
y=-5
Leaving us with (5,-5)
Because (5,-5) is not (5,5)
This is not a point on the line
The slope of the line is -1
Answer: she scored 69 points on the second test.
Step-by-step explanation:
Let x represent the number of points that she scored in the first test.
Let y represent the number of points that she scored in the second test.
If her mean score was 75, it means that
(x + y)/2 = 75
x + y = 75 × 2
x + y = 150- - - - - - - - - 1
If she scored 12 points more on the first test than the second test, it means that
x = y + 12
Substituting x = y + 12 into equation 1, it becomes
y + 12 + y = 150
2y + 12 = 150
2y = 150 - 12
2y = 138
y = 138/2
y = 69
Answer:
116°F = 46.67 °C and 6 Pounds = 2721.55 grams
Step-by-step explanation:
The information given in the question is 1°F = -17.22°C
1 Kilogram = 1000 grams = 2.2 pounds
And we have to convert 116° F to degrees Celsius and Six pounds to grams.
1) We know (°F-32)×5/9 =°C
So by putting the value of °F as 116 ⇒ (116-32)×5÷9 = °C
⇒ °C = 
⇒ °C = 46.67
2). ∵ 2.2 Pounds = 1000 grams
∴1 Pound = 1000/2.2 = 454.54 grams
∴ 6 pounds = 6× 454.54 grams
= 2721.55 grams
The answer is obviously 100 that was so easy
