Answer:
z-test
hu=50
Step-by-step explanation:
6. The lengths of two tangent lines to a circle are equal, which can be proved using similar triangles. The perimeter is 2*(3+2+5)=10.
14. c=40 degrees, since c and the given 40 angle correspond to the same arc on the circle. b=40, since b and the given angle are alternate interior angles of two parallel lines. d=180-40-40=100 degrees. a=180-d=180-100=80 degrees.
18. a is two times the given angle according to the inscribed angle theorem. a=2*20=40. b=180-a=140. c=90 since the tangent line is perpendicular to the diameter of the circle.
19. b=85, a=95. Connect the two points on the circle near 45 degrees on the diagram. b is the sum of the two angles formed (b is the exterior angle of the small triangle), and the sum is half the central angles they correspond to, which is 360-145-45=170. So b=170/2=85, and a=180-85=95 degrees.
20. Use power of a triangle. 5*(10+5)=6(6+x), x=6.5.
Answer:
Option D.
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by elimination
Multiply both sides equation A by -1
-----> equation C
Adds equation C and equation B
<em>Find the value of x</em>
substitute the value of y in either equation
The solution is the point (-1,2)
In this problem Option A,B and C are correct
The option D not result in a system with a pair of opposite terms
because
Multiply both sides of equation B by -3
-----> equation C
Multiply both sides of equation A by 5
----> equation D
so
equation C and equation D not have a pair of opposite terms
Answer: 19 degrees
Step-by-step explanation:
<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees. Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees. Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.
Hope it helps <3
Answer:
Step-by-step explanation:
P = 2(L + W)
P = 24
width = x, length = y
24 = 2(x + y)
24 = 2x + 2y
standard form would be : 2x + 2y = 24, or it could also be x + y = 12
to find the x intercept, sub in 0 for y and solve for x
x + y = 12
x + 0 = 12
x = 12....so the x intercept is (12,0)
to find the y intercept, sub in 0 for x and solve for y
x + y = 12
0 + y = 12
y = 12......so the y intercept is (0,12)
No, the intercepts do not make sense.
consider the equation : 2x + 2y = 24
if x is 12.......
2(12) + 2y = 24
24 + 2y = 24
2y = 24 - 24
2y = 0
y = 0......so if x (the width) is 12 cm, the y(the length) would be 0.
same goes with the length (y)....if y = 12, then the width (x) is 0
also, if x is 12 and y is 12
P = 2(L + W)
P = 2(12 + 12)
P = 2(24)
P = 48..............then the perimeter would not be 24, it would be 48
