Answer:
about 65.4 inches cubed
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr^3.
V = 4/3πr^3
= 4/3π(2.5^3)
= 20.83π = <u>about 65.4 inches cubed</u>
Answer:
thank you for replying
Step-by-step explanation:
thank you for replying
9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
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14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
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15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Question 11a)
We are given side BC equals to side CE and angle CBA equals to angle CED
We also know that angle ACB equals to angle ECD are equal (opposite angles properties)
We have enough information to deduce that triangle ABC and triangle CDE are equal by postulate Angle-Side-Angle (ASA)
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Question 11b)
We are given side AB equal to side ED, side BC equals to side EF, and side AC equals to side DF
We have enough information to deduce that triangle ABC and triangle DEF congruent by postulate Side-Side-Side (SSS)
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Question 11c)
We are given side AC equals to side DF, angle ABC equals to angle DEF, and angle BAC equals to angle EDF
We have enough information to deduce that triangle ABC congruent to triangle DEF by postulate Angle-Side-Angle (ASA)
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Question 11d)
We do not have enough information to tell whether this shape congruent or not
