<span> If all numbers are greater than zero and no repeated numbers exist these are the 5 possible combinations:
1 + 2 + 8
1 + 3 + 7
1 + 4 + 6
2 + 3 + 6
2 + 4 + 5.
If one number is allowed to be zero and no repeated numbers exist these are 5 combinations:
</span><span> 0 + 11
1 + 1 + 9
2 + 2 + 7
3 + 3 + 5
4 + 4 + 3
5 + 5 + 1
</span><span>
Hope this helps
</span>
Answer:
D
Step-by-step explanation:
Basically, Q is an angle. An angle has an initial side and a terminal side. The initial side is QS, The terminal side is QT. The initial side and the terminal side both intersect the circle. The initial side intersects the circle at point S. The terminal side intersects the circle at point T. This forms arc TS.
<span>Angle Q is what is known as an inscribed angle. Anytime you have an inscribed angle, it will always cut across some arc. The measure of that angle will always be 1/2 the measure of the arc.
</span><span>We're given that angle Q = 44 degrees. This means that the measure of arc TS will be twice the measure of angle Q.
</span>
angle(q)=angle(r)
so ans =44
Answer:
k=5
Step-by-step explanation:
We are provided with function, f ( x ) = 3
+ kx − 13
which is divided by x+4 gives 15.
Here,
since f(x) is divided by x+4 so we can put :
x+4 = 0
x= -4
Putting this in f(x) -----> f(-4)
f(x) = f(-4) = 3 (
) + k(-4) − 13
f(-4) = 3(16) - 4k - 13
f (-4) = 48 - 4k - 13 ------------------------------------------Equation 1
Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,
f(-4) = 15
putting in equation 1
f (-4) = 15 = 48 - 4k - 13
48 -4k - 13 = 15
35 - 4k = 15
35 - 15 = 4k (Moving - 4k on right hand side and 15 on the left)
or 20 = 4k
or 4k = 20
k = 
<h2>
k = 5</h2>