Problem 1)
AC is only perpendicular to EF if angle ADE is 90 degrees
(angle ADE) + (angle DAE) + (angle AED) = 180
(angle ADE) + (44) + (48) = 180
(angle ADE) + 92 = 180
(angle ADE) + 92 - 92 = 180 - 92
angle ADE = 88
Since angle ADE is actually 88 degrees, we do NOT have a right angle so we do NOT have a right triangle
Triangle AED is acute (all 3 angles are less than 90 degrees)
So because angle ADE is NOT 90 degrees, this means
AC is NOT perpendicular to EF-------------------------------------------------------------
Problem 2)
a)
The center is (2,-3) The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2
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b)
The radius is 3 and the diameter is 6From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2
where
h = 2
k = -3
r = 3
so, radius = r = 3
diameter = d = 2*r = 2*3 = 6
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c)
The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.
Some points on the circle are
A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)
Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.
Answer:
X=24
Step-by-step explanation:
5X is parallel to 120. So to find 120, you need to divide 120 by 5 to get X.
So X equals 24.
I hope that helped you out :)
I’ll teach you how to solve 3x-5=-18
—————————————-
3x-5=-18
Move constant to the right-hand side and change its sign:
3x=-18+5
Calculate the sum:
3x=-13
Divide both sides of the equation by 3:
X=-13/3
Your Answer Is x=-13/3
Plz mark me as brainliest if this helped :)
From the information provided by the statement, you know that
*Ann draws 2/16 of the playground
*Susan draws 6/16 of the playground because she draws 3 times as much as Ann so

*Louise draws 3/16 because she draws half as much as Susan, so

*Sam draws 2/16 because she draws 1 less section than Louise

Now, let x be the fraction of the playground that still needs to be drawn. Then, you have

Therefore, 3/16 of the playground still needs to be drawn.
Answer:
Step-by-step explanation:
AB
away fram house
2km 4mins
rate: 1km\minute
BC
away from house
5km 6mins
rate:0.83km\minute
CD
niether
0km 9mins
no rate
DE
toward house
6km 15mins
0.4km\minute