Answer:
810
Step-by-step explanation:
3 x 3 x 9 x 10 = 810 [times means multiply]
No wonder !
Please proof-read your question, make sure it says
what you want to say, and post it again.
Right now, we are all as confussed as you are.
Answer: d = -16 .
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Explanation:
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Given: 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ; Solve for "d" ;
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→ Note the distributive property of multiplication:
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a (b + c) = ab + ac ;
a (b − c) = ab − ac ;
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As such, we can expand the left-hand side of the question:
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→ 0.2 (d − 6) = (0.2 *d) − (0.2 *6) = 0.2 d − 1.2;
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And rewrite the entire equation:
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→ 0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us multiply the ENTIRE equation (both sides) by "10"; to get rid of the decimals:
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→ 10 * {0.2 d − 1.2 = 0.3d + 5 − 3 + 0.1 d} ;
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→ 2d − 12 = 3d + 50 − 30 + 1d ;
→ Combine the "like terms", +3d , +1d ; to get 4d; on the 'right-hand side' of the equation ; and rewrite:
→ 2d − 12 = 4d + 50 − 30 ;
→ Now add "12"; and subtract "2d" from EACH SIDE of the equation;
→ 2d − 12 + 12 − 2d= 4d + 50 − 30 + 12 − 2d ;
→ 0 = 2d + 32 ; ↔ 2d + 32 = 0 ;
→ Subtract "32" from each side of the equation:
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→ 2d + 32 − 32 = 0 − 32 ;
→ 2d = - 32
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→ Now, divide EACH side of the equation by "2" ; to isolate "d" on ONE side of the equation; and to solve for "d" ;
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→ 2d / 2 = - 32 / 2 ;
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→ d = - 16 ; which is our answer.
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Let us check our answer by plugging this value for "d" in the original equation to see if the equation holds true when "d = -16" ;
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→ 0.2 (d − 6) = 0.3d + 5 − 3 + 0.1 d ;
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→ Let us start with the "left-hand side".
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→ 0.2 (d − 6) ; ↔ 0.2*(-16 − 6) ; ↔ 0.2*(-22) = -4.4.
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When "d" = -16 in the right-hand side of the equation,
is the result, "-4.4" ???
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→ 0.3d + 5 − 3 + 0.1 d = ? -4.4 ???
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→ (0.3 * -16) + 5 − 3 + (0.1 * -16) =? -4.4???
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→ (-4.8) + 5 − 3 + (-1.6) = ? -4.4????
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→ (-4.8) + 5 − 3 − (1.6) = ? -4.4????
→ -4.4 =? -4.4??? Yes!!!
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Answer:
B.
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴ is the additional fact needed to prove
Hope this helps :)
Answer:
8+10v
Step-by-step explanation: