Answer:
72°
Step-by-step explanation:
From the information given:
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.
However, side FG and EH are parallel.
∠G = 108°
From the property of parallel lines :
since FG || EH
Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)
The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.
The required angle between Elm Street and Pine Avenue = 180° - 108°
The required angle between Elm Street and Pine Avenue = 72°
Answer:
Step-by-step explanation:
We have been given that the area of a square is given by 
, where x is the length of one side.
Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.
We can represent this information in an equation as:
Therefore, the expression 
will represent the area of Mary's new garden.
To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.
Therefore, the area of Mary's new garden will be 128 square feet.
172,000 is the answer I think
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
x = 140
Step-by-step explanation:
180 - 65 - 75= 40
180 - 40 = x
140 = x
