Answer:
1) C
2) A
Step-by-step explanation:
Answer:
16.7 percent decrease.
Step-by-step explanation:
Difference in value = 150,000 - 180,000
= -30,000
As a percent this = (-30,000 / 180,000) * 100
= -0.1667 * 100
= -16.67
Answer:
Step-by-step explanation:
Step One
Find the exterior angle connected to the 93 degree angle. It is also a supplement to 93. Supplementary angles add to 180. Call the exterior angle y
93 + y = 180 Subtract 93 from both sides
y = 180 - 93
y = 87
Step two
Add all the exterior angles. They equal 360
x + 52 + 87 + x + 3 + 78 = 360 Combine the like terms
Step 3
Solve the equation
2x + 220 = 360 Subtract 220 from both sides
2x = 360 - 220
2x = 140 Divide by 2
x = 70
I don't see that anywhere, but I'm pretty sure I'm right.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
Answer:
Please see below :)
Step-by-step explanation:
Integers - Whole numbers (no fractions or decimals!)
11 to 111
12, 14, 16, 18, 20
22, 24, 26, 28, 30
32, 34, 36, 38, 40
42, 44, 46, 48, 50
52, 54, 56, 58, 60
62, 64, 66, 68, 70
72, 74, 76, 78, 80
82, 84, 86, 88, 90
92, 94, 96, 98, 100
102, 104, 106, 108, 110
Hope this helped!
