Answer and Step-by-step explanation:
To find the length of the missing leg, use the Pythagorean Theorem.


<u>This missing leg length is 8 feet.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is

The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is

The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Answer:
96
Step-by-step explanation:
The least common denominator or lowest common denominator is the smallest multiple that the denominator (that is the number on the bottom of a fraction) has in common.
Since 32, and 3 have no common factors, one simply has to multiply them to find the least common denominator.
32 * 3 = 96
Answer:
$400
Step-by-step explanation:
Given that:
Earnings per week for Amber = $200
Total increase in the salary as per Amber's hard work = 100%
To find:
Earnings of Amber now?
Solution:
We are given the initial salary and its percentage increase.
We have to find the increased value of salary.
Increase in the salary = 100% of $200

Amber's Current salary = Initial salary + Increase in the salary
Putting the values of the initial salary and increase in the salary:
Amber's Current salary = $200 + $200 = <em>$400</em>
Answer:
<u>The correct answer is A. AAS</u>
Step-by-step explanation:
B. SAS is wrong because this theorem states that two triangles are equal if two sides and an included angle between those two sides are equal.
C. ASA is also wrong because this theorem says that two triangles are congruent if any two angles and their included side are equal in the two triangles.
D. Finally, this theorem is also wrong because states that if the three sides of one triangle are congruent to the three sides of another triangle, then these two triangles are congruent.
<u>Therefore, the correct answer is A. AAS.</u>