Statement Reason
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1. CD=DC Reflexive Property
2. D-midpoint of AB Given
3. AD=BD Definition of Midpoint
4. CD⊥AB Given
5. m<CDA=m<CDB Definition of Perpendicular Lines
6. ΔACD≅ΔBCD SAS
Answer: " x = 9 " .
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Explanation:
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To calculate the mean:
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The mean =
{the sum of all the values in the number set} ÷
{the number of values in the data set} ;
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To solve for "x" ;
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Given that the "mean" is: "8" ;
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8 = { 3 + 7 + 9 + 12 + x } / 5 ;
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↔ { 3 + 7 + 9 + 12 + x } / 5 = 8 ;
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→ { 3 + 7 + 9 + 12 + x } = 8 * 5 ;
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→ { 31 + x } = 40 ;
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↔ x + 31 = 40 ;
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Subtract "31" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
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→ x + 31 − 31 = 40 − 31 ;
→ x = 9 .
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Answer:
12√2
Step-by-step explanation:
Use the Pythagorean Theorem here:
(12 cm)^2 + (12 cm)^2 = 288 cm^2.
The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2
Answer:
- -32x² +8x -8
- See below about the process
Step-by-step explanation:
The simplified expression is ...
3x(x -12x) +3x² -2(x -2)²
= 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses
= -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses
= (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms
= -32x² +8x -8