A side of right triangle lying against an angle of 30 degrees is equal to half of the hypotenuse, so
s=4×2=8
Answer: s=8
A line through two points A, B can be found by the point-slope form of the formula:
(y-ya)=m(x-xa)............(1)
and
m=(yb-ya)/(xb-xa).......(2)
where A(xa,ya), B(xb,yb) and m is the slope between points A & B.
Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)
From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1
Substitute in (1) : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2 .................(3a) equation required in slope-intercept form
x-y+2=0...............(3b) equation in standard form
Answer:
A.(AB/BC)=(CE/ED)
Step-by-step explanation:
Properties of Similar Triangles states two things
Corresponding angles are congruent (same measure)
Corresponding sides are all in the same proportion
That means AB/ BC = CE/ED
Answer:
x^(1/2)
Step-by-step explanation:
For this, we need to understand exponent rules. This one is like this, "A power to a power, you multiply the exponents". This is simply, because this expression would be equivalent to 3 base terms:
(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))
And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following
(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)
Hence, this expression simplifies to x^(1/2).
Cheers.
(1/2)(n - 4) - 3 = 3 - (2n + 3
Distribute the (1/2) on the left and the -1 on the right.
(1/2)n - 2 - 3 = 3 - 2n - 3
Combine like terms.
(1/2)n - 5 = -2n
Add 2n to both sides and add 5 to both sides
2.5n = 5
Divide both sides by 2.5
n = 2