Answer:
Angle A = 50
Step-by-step explanation:
We know the 3 angles of a triangle add to 180
A + B+C = 180
2x-10 + 70 + x+30 = 180
Combine like terms
3x+90 = 180
Subtract 90 from each side
3x+90-90=180-90
3x = 90
Divide by 3
3x/3 = 90/3
x = 30
We want to find angle A
Angle A = 2x-10
= 2(30) -10
= 60-10
= 50
Answer:
6
Step-by-step explanation:
<span>The length of AC is 8 units
The angle CDB is 67°
Since ABCD is a rectangle, that means that all of the angles are 90 degrees and that line segment AB is parallel to line segment CD. The line segment BD is a diagonal of the rectangle. The line segment AC is also a diagonal of the rectangle so it has the same length as given for segment BD which is 8. The angle ABD is the angle between the horizontal line and the diagonal. The angle CDB is also the angle between a horizontal line and the diagonal. So it also has the same measurement so it too is 67°.</span>
So we have
h=hits
m=miss
h+m=10
gain 5 for every hit and lose 3 for every miss
so 5 times number of hit=points from hit
-3 times number of miss=points deducted from miss
add
5h-3m=18
so we have the equations
h+m=10
5h-3m=18
multiply first equation by 3
3h+3m=30
add to first equatio
3h+3m=30
<u>5h-3m=18 +</u>
8h+0m=48
8h=48
divide by 8
h=6
subsitute
h+m=10
6+m=10
subtract 6
m=4
6 hits
4 miss
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