Answer:
She is about 14.765 miles ( miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse =
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ( miles) from where she started.
Answer:
(-16x + 13)° + (-20x + 23)° = 180° ( St. angle)
-16x° + 13° - 20x° + 23° = 180°
-4x° + 36° = 180°
-4x° = 180°-36°
-4x° = 144°
-x° = 144°/4
-x° = -36°
x° = 36°
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Answer:
Step-by-step explanation:
She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree. To add these two fractions, both must have common denominators.
Multiply both the numerator and denominator of 2/3 by 2. This results in 4/6.
Now you have 4/6 + 2/6 which equals 8/6. This can be converted to 1 and 2/6, further simplified to 1 and 1/3. Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.
512 feet because to find the area u multiply length times width and since your givin the area and width you divide the area by the width
Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.
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Here's how we can find the line of reflection.
Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A
Repeat this process to form a segment from S to S'. Mark the midpoint as point B.
The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.
Refer to the diagram below.