Answer:
Step-by-step explanation:
Properties of a circumcenter;
1). Circumcenter of a triangle is a point which is equidistant from all vertices.
2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.
From the picture attached,
9). AG = GB = GC = 21
10). BC = 2(DC)
= 2×16
= 32
11). By applying Pythagoras Theorem in ΔGFB,
GB² = GF² + FB²
(21)² = GF² + (19)²
441 = GF² + 361
GF² = 441 - 361
GF = 
GF = 8.9
12). By applying Pythagoras theorem in ΔGDB,
GB² = DG² + BD²
(21)² = (DG)² + (16)² [BD = DC = 16]
DG² = 441 - 256
DG = √185
DG = 13.6
X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150
a) Solve the system => one of the solution is x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.
Answer:
27.5
Step-by-step explanation:
Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 -
θ =
θ
1 -
θ =
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 -
θ ) / sin θ ] / cos θ = [ ( 1 -
θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 -
θ ) / ( sin θ * cos θ )
=
θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :
Answer:
(-2,-5) (0,-1)
(-1+5)/(0+2)= 4/2= 2
y + 5 = 2(x + 2)
y + 5 = 2x + 4
y = 2x - 1
Step-by-step explanation: