Answer:
26 Hours
Step-by-step explanation:
65 x 28 = 1820
70 x 26 = 1820
This is when they will be right next to each other
Answer:
x = 11 or x = -1
Step-by-step explanation:
(x-5)^2 = 36
(x-5) = 6 or (x-5)= -6
then x = 11 or x = -1
Answer:
Step-by-step explanation:
1) One solution is to write, as our exponent:
2) Because this is special case of the Exponents Law, valid for every base ≠ 0.
3) Hence, including an exponent the numbers 6, 2 whose value is eight.
Therefore our expression is true
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°
Let the two consecutive even numbers be x and x+2
According to the question,
x+x+2=22
or,2x+2=22
or,2x=22-2
or,2x=20
or,x=20/2
therefore x=10
now x+2 = 10 + 2 = 12
Therefore the numbers are 10 and 12
