<span>im pretty sure it would be 1 in 3 or 1 in 4</span>
For the figure on the left, the answers are a = 8 and b = 4
This is a 30-60-90 triangle. The short leg is always opposite the smallest angle (30 degrees). The rule is the smallest side is opposite the smallest angle. Similarly, the largest side is opposite the largest angle. In a right triangle the largest side is always opposite the 90 degree angle. This side is the hypotenuse.
Recall that the longer leg is sqrt(3) times the short leg. The notation "sqrt" is shorthand for "square root".
So long leg = (short leg)*sqrt(3) which means b = 4 must be the case to end up with long leg = 4*sqrt(3)
The hypotenuse is twice that of the short leg, so a = 2*b = 2*4 = 8
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For the figure on the right, the answers are x = 2*sqrt(3) and y = 2
The short leg is y, which is opposite the 30 degree angle (this is another 30-60-90 triangle). So y is half of the hypotenuse 4. That explains how y = 2.
The long leg x is equal to sqrt(3) times the short leg, so
(long leg) = (short leg)*sqrt(3)
x = y*sqrt(3)
x = 2*sqrt(3)
33
Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.
-2(3z+8)=1/3(9-18z)
-6z-16=1/3(9-18z)
-6z-16=1/3(-18z+9)
-6z-16=1(-18z+9)
———-
3
0=57
The input has no solution
Answer:
m=1
Step-by-step explanation:
slope formula is y=mx-b
whenever a variable is by itself, the coefficient is always 1
