Answer:
Step-by-step explanation:
h(x+1) = ( x + 1 - 2)²
= (x -1)²
Answer:
6xy
Step-by-step explanation:
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;
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Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
<u>Henc</u><u>e</u><u> the</u><u> </u><u>width</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>recta</u><u>ngle</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u> </u><u>inches</u><u>.</u>
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality