Answer:
Step-by-step explanation:
a parallelogram, with angles <1, (3m+20)° and 5m°.
Please note: The sum of adjacent angles of a parallelogram are supplementary that is sum equal to 180° and opposite angles are equal.
(3m+20)° + 5m° = 180° and < 1 = (3m+20)°
Solving equation (3m+20)° + 5m° = 180° for m.
3m +20 +5m = 180
Combining like terms, we get
8m +20 = 180.
Subtracting 20 from both sides, we get
8m +20-20 = 180-20
8m = 160
Dividing both sides by 8, we get
8m/8 = 160/8
m = 20
Plugging m=20 in 3m+20, we get
3(20)+20 = 60+20 = 80°
Therefore, <1 = (3m+20)° = 80°.
Answer:
17/25
Step-by-step explanation:
In this case we are asked for the probability that a random point is chosen in the lower grid in the shaded area, we must count the total number and amount of shaded squares.
In total there are 25 squares and 17 shaded ones.
This means that the answer is 17/25, the answer is not within the options, but if it is 8/25, which would be the probability of choosing a random point in a non-shaded or white area
Answer:
1.25992105
Step-by-step explanation:
To 1 d.p
1.3
Answer:
find the middle point of the triangle
Step-by-step explanation:
Length = 31 ft
width = 19 ft
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
