3n² - 8n + 4
3n² - 6n - 2n + 4
(3n - 2)(n - 2)
Answer:
? = 7.2
Step-by-step explanation:
Remark
Is that a misshapen circle or is it an ellipse? I'm going to assume it is a circle, but if I am wrong, leave a comment. A tangent will meet a diameter's end at right angles which allows you to use the Pythagorean theorem.
Formula
a^2 + b^2 = c^2
Givens
c = 12
a = 9.6
b = ?
Solution
c^2 - a^2 = b^2
144 - 92.16 = b^2
b^2 = 51.84 Take the square root of both sides
sqrt(b^2) = sqrt(51.84)
b = 7.2
To find this percentage, it will make it easier if it is worded differently. Put it "15 is what percent of 50?"
To find the percentage, simply divide 15 by 50 then multiply that quotient by 100.
15 / 50 = 0.3
0.3 x 100 = 30 = 30%
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°
