Answer:-7500, 37,500
Step-by-step explanation:
The patter is multiply by negative 5 -12*5=60, 60*-5=-300... so 1500* -5=-7500, and -7500*-5=37,500
Answer:
3 and 4
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
Since 15 is between 9 and 16, the square root of 15 is between 3 and 4
Answer:
Jayna charges a lower hourly rate
Step-by-step explanation:
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
