Answer:
m < 2 = 45°
Step-by-step explanation:
m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal. Since they are corresponding angles, then it means that they have the same measure.
Therefore, if m < 1 = 135°, then m < 3 = 135°.
Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.
Therefore:
m < 2 + m < 3 = 180°
m < 2 + m < 135° = 180°
m < 2 = 180° - m < 135°
m < 2 = 45°
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:
C) $20.80
Step-by-step explanation:
1 kg of cooking oil = $6.5
1 packet of cooking oil =2/5 kg
If 1 kg of cooking oil = $6.5
2/5kg of cooking oil = $X
Cross Multiply
1kg × $X = 2/5kg × $6.5
$X = 13/5
$X = 2.6
Hence 2/5kg of oil cost $2.6
Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6
The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:
1 packet of oil = $2.6
8 packets of oil =
$2.5 × 8
= $20.80
Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80
The expression (−81)(−9) will give the value of 729.
<u>Step-by-step explanation:</u>
The given expression is (−81)(−9)
.
The both numbers in the expression are negative numbers and they are given inside the brackets.
This means that, the negative numbers must be multiplied to get a final value.
<u>The rules in multiplication are :</u>
- Positive number × Positive number = positive number
- Negative number × Positive number = negative number
- Positive number × Negative number = negative number
- Negative number × Negative number = positive number
From the rules, it can be determined that the result of any two negative numbers will be a positive number.
So, eliminate option A) and B) because they have negative sign.
The expression (−81)(−9) = -81 × -9
⇒ 729.
Therefore, the option C) and D) are not in match with 729. None of the options are not the value of the given expression (−81)(−9).
81000-37000=44000
Rounded to the nearest thousand
