Option C:
Solution:
Given expression:
To find which expression is equal to the given expression.
Expand the term
Arrange the like terms together.
Factor the numerator
Cancel the common factor g + 2, we get
Hence option C is the correct answer.
Step-by-step explanation:
Here, the needed table is attached for the reference.
Now, as we can see from the table:
The distance covered by Cindy = 2 yards, 1 foot 3 inches
The distance covered by Tyrette = 7 feet, 2 inches
The distance covered by Nina = 2 yards, 1 foot, 1 inch
The distance covered by Monique = 7 feet, 4 inches
As we know : 1 yard = 3 feet
So, the distance covered by :
Cindy = 2 yards, 1 foot 3 inches = 3 ft x (2) + 1 ft + 3 in = 7 ft 3 in
Tyrette = 7 feet, 2 inches
Nina = 2 yards, 1 foot, 1 inch = = 3 ft x (2) + 1 ft + 1 in = 7 ft 1 in
Monique = 7 feet, 4 inches
So by comparing all distances, we can see that:
The maximum distances jumped by all four is 7 ft 4 inches.
The distance covered by Drew is less than 7 ft 7 in.
So, he must have jumped 7 ft 5 inches OR 7 ft 6 inches.
Hence, the distance covered by Drew in long jump is either 7 ft 5 inches OR 7 ft 6 inches.
Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6). 6). Definition of two similar triangles
Hence proved.