The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is paral
lel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. ________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality. Which phrase accurately completes the proof?
∠SQU ≅ ∠VQT
∠SQU ≅ ∠WRS
∠WRS ≅ ∠VQT
∠WRS ≅ ∠ZRT
∠SQU ≅ ∠VQT
∠SQU ≅ ∠WRS
∠WRS ≅ ∠VQT
∠WRS ≅ ∠ZRT
1 answer:
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Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6
3. Let x be the circumference of the circle.
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5. f(x) is a minimum means f'(x)=0
f'(x)=
=0
6. So one part is
and the other part is b-
2. Bend the b-x piece to form a triangle with side (b-x)/3
There are many ways to find the area of the equilateral triangle. One is by the formula A=
A=
Another way is apply the formula A=1/2*base*altitude,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6
3. Let x be the circumference of the circle.
so
Area of circle =
4. Let f(x)=
be the function of the sum of the areas of the triangle and circle.
5. f(x) is a minimum means f'(x)=0
f'(x)=
6. So one part is
Answer:
Step-by-step explanation:
convert mixed fraction into improper fraction.
calculate the sum of the fraction: