Step-by-step explanation:
OCB=CBO(base angle of isosceles triangle are equal)
now,
OCB+CBO+BOC=180°(sum of angles of triangles)
BOC=180-62
BOC=118°
again,
x=BOC/2{inscribed angle is half of central angle standing on Same base}
x=118/2
x=59°
<h2>stay safe healthy and happy...</h2>
Ths phrase that represents the algebraic expression (3p + 6)/(7p - 9) will be D. the sum of three times a number and six divided by the difference of seven times the number and nine.
<h3>How to illustrate the algebra?</h3>
It should be noted that an algebra is simply used to show the relationship between variables.
Here, the phrase that represents the algebraic expression (3p + 6)/(7p - 9) will be the sum of three times a number and six divided by the difference of seven times the number and nine.
In conclusion, the correct option is D.
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<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
