Answer:
120 ways
Step-by-step explanation:
To solve the question above, we use combination formula:
Where ;
nCr = n! / (n-r)! r!
10C7 = 10! / (10 - 7)! 7!
10C7 = 10! / 3! 7!
10C7 = (10 * 9 * 8) / 3 * 2 * 1
10C7 = 720 / 6
= 120 ways
Answer:
A. Definition of linear pair
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.
angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Answer:
3x+35°-10
Step-by-step explanation:
remove the parentheses so the equation is
x+ 15°+x+20°+(x-10)
Answer:
It takes 31 Pounds for UPS and FedEx to cost the same?
Step-by-step explanation:
The equation for the cost of a UPS shipping:
7 + .20x
to check the answer, you can do : 7 + (.20 x 31)
= $14.00
The cost for the cost of the PedEx shipping is:
5 + .30x
to check the answer, you can do : 5x + (.30 x 31)
= $14.00
