Answer:
FC = 27, QC = 18
Step-by-step explanation:
The centroid Q is 
the way along CF , therefore, QF is half as long as CQ
Given FQ = 9, then
QC = 2 × 9 = 18
FC = FQ + QC = 9 + 18 = 27
The perimeter of the triangle, namely the sum of all its 3 sides, is 110.
now, the three sides are in a 6:7:9 ratio, namely, if we divide 110 by (6+7+9), it will give us hmmm 110/22, a quotient of 22 equal pieces, namely how many times 22 would go into 110.
now, the small side, takes 6 of those pieces, the medium side takes 7 of them and the largest takes 9 of those pieces.
110/22 = 5
the small side is then 6(5).
the medium side is 7(5).
and the largest side is 9(5).
add them up, and you'd get the perimeter, 110 inches.
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
Answer:
B.) 73°
Step-by-step explanation:
To find m<A, first you must find it's supplementary angle. In order to do this, you must determine the missing interior angle. We'll call the missing angle x
A pentagon has 540°. Add up the known angles.
96°+118°+115°+104°+x = 540°
433°+x = 540°
x = 107°
Now that we know the value of x, we can find the m<A. Supplementary angles are two angles that add up to 180°, which is a flat line. We can see in the diagram that m<a + 107° is a flat line, meaning m<a + 107° = 180°
Solve accordingly.
m<a + 107° = 180°
m<a = 73°
Answer:
Negative five is in fact a rational number.
Step-by-step explanation:
Rational numbers can either be negative or positive. An irrational number would be pi (3.14159 etc.)
