Answer: The only correct answer is 8/18. See below
Step-by-step explanation:
All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:
4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36
4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.
4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45
5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27
Answer:
x = 5/(a-b+3)
Step-by-step explanation:
ax+3x=bx+5
Collect all the terms that has x:
ax-bx+3x = 5 (Subtracting bx both sides)
Take out the x!
x(a-b+3) =5
Divide (a-b+3) both sides to solve for x
x = 5/(a-b+3)
Hope this helps!
Would really appreicate the brainliest!
The greatest common factor of 8n^3 and 20n is 4n
Answer:
I think it would be 300 feet long.
Step-by-step explanation:
25/2=12.5
12.5x24=300
Hope this helps. :)
Answer:
m∠B = 157°
Step-by-step explanation:
Cyclic quadrilateral is the quadrilateral whose vertices lie on the edge of the circle
In the cyclic quadrilateral each two opposite angles are supplementary (the sum of their measures is 180°)
∵ Quadrilateral ABCD is inscribed in a circle
- That means its four vertices lie on the edge of the circle
∴ ABCD is a cyclic quadrilateral
<em>Each two opposite angles in the cyclic quadrilateral are supplementary (The sum of their measures is 180°)</em>
∵ ∠B and ∠D are opposite angles in the quadrilateral ABCD
∴ m∠B + m∠D = 180° ⇒ opposite ∠s in a cyclic quadrilateral
∵ m∠B = (6x + 19)°
∵ m∠D = x°
- Substitute them in the rule above
∴ (6x + 19) + x = 180
- Add the like terms in the left hand side
∴ (6x + x) + 19 = 180
∴ 7x + 19 = 180
- Subtract 19 from both sides
∴ 7x = 161
- Divide both sides by 7
∴ x = 23
<em>Substitute the value of x in the expression of the measure of ∠B to find its measure</em>
∵ m∠B = 6(23) + 19
∴ m∠B = 138 + 19
∴ m∠B = 157°
