Answer:
17
Step-by-step explanation:
They are vertical angles so they are the same angle.
51 = 3x
Divide each side by 3
17 = x
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.
This can be expressed as:
a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:
b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):
c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:
d) Expanded form for the area A:
Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
Answer:
A. Line graph
Step-by-step explanation:
