Answer:
Step-by-step explanation:
n=1/2 of 12 according to the rule:
right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so n=12/2=6
and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
so
now lets put numbers on formula
from this formula m=
Expand
-5m + 45 = 27 - 7m
Subtract 27 from both sides
-5m + 45 - 27 = -7m
Simplify -5m + 45 - 27 to -5m + 18
-5m + 18 = -7m
Add 5m to both sides
18 = -7m + 5m
Simplify -7m + 5m to -2m
18 = -2m
Divide both sides by -2
-18/2 = m
Simplify 18/2 to 9
-9 = m
Switch sides
<u>m = -9</u>
Answer:
(8,-1)
Step-by-step explanation:
Given :
To Find: solution of given system of equations.
Solution:
Equation a :
Equation b :
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:
⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒
for x = -1
⇒
⇒
⇒
Thus (x,y)=(-1,8)
For x =8
⇒
⇒
⇒
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
I would place the additional marble in the middle of the triangle.