To find the perimeter of a rectangle you can multiply the length by 2 and the width by 2, or you can add the four sides together.
The wrong equation is w + 3w = 90 because it only has one width and one length, which would be half the total perimeter.
Using our congruence statement
, we know that corresponding angles match, so that means that
. We know that
, so that means that
. This gives us the equation
<em /><em /><em>m</em> + 45 = 131
Subtract 45 from both sides to cancel it and we have
<em>m</em> = 86.
Answer:
BEFmZ Is the answer i think
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
8 - 8 / 8 + 7 *3
PEMDAS
8 - 1 * 7 - 3
8 - 1 + 21
28
The answer is: " x = 0, 1 " .
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Explanation:
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Given:
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" √(x + 1) <span>− 1 = x " ; Solve for "x" ;
First, let us assume that "x </span>≥ -1 "
<span>
Add "1" to EACH SIDE of the equation:
</span>→ √(x + 1) − 1 + 1 = x + 1 ;
to get:
→ √(x + 1) = x + 1 .
Now, "square" EACH side of the equation:
→ [√(x + 1) ]² = (x + 1 )² ;
to get:
x + 1 = (x + 1)²
↔ (x + 1)² = (x + 1) .
Expand the "left-hand side" of the equation:
→ (x + 1)² = (x + 1)(x +1) ;
Note: (a+b)(c+d) = ac +ad + bc + bd ;
As such: (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
= x² + 1x + 1x + 1 ;
= x² + 2x + 1 ;
Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
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" (x + 1)² = (x + 1)(x +1) " ;
→ Rewrite as: " x² + 2x + 1 = x + 1 " ;
Subtract "x" ; and subtract "1" ; from EACH SIDE of the equation:
→ x² + 2x + 1 - x - 1 = x + 1 - x - 1 ;
to get: → x² <span>− x = 0
Factor out an "x" on the "left-hand side" of the equation:
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</span>x² − x = x(x − 1) ;
→ x (x − 1) = 0 ;
We have: "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .
So, one value of "x" is "0" .
The other value for "x" ;
→ x − 1 = 0 ;
Add "1" to each side of the equation:
→ x − 1 + 1 = 0 + 1 ;
→ x = 1 ;
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So, the answers:
" x = 0, 1 " .
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