Answer:
R=22
Step-by-step explanation:
180-44= 136
136÷2= 68
90-68= 22
180 is angle of the straight line. 44 is subtracted to get angle of only the triangle on the left which is 136. 136 is then divided by 2 since the remaining two angles are equal and you'll get 68. R is part of a right-angled triangle (90°) subtract 68 from that and you will get 22
<h3>
Answer: C) 4/8 = 0.5</h3>
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Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
The third side must be greater than the difference of the other 2 sides and less than the sum of the other 2 sides.
5 and 12 SUM = 17
DIFFERENCE = 7
The 3rd side must be greater than 7 and less than 17
So, the third side could be 9 or 11.
Source:
http://www.1728.org/trianinq.htm
4.)
To solve for Y it is To solve for X
-8y=-6x -8y=-6x
/-8 /-8 /-6 /-6
y=3/4(x) 4/3(y)=x
5.)
to solve for Y To solve for X
1/2(y)=4(2x-1/4) 1/2(y)=4(2x-1/4)
1/2(y)=8x-1 /4 /4
*2 *2 y/8=2x-1/4
+1/4 +1/4
y=16x-2 (y/8)+1/4=2x
/2 /2
((y/8)+1/4)/2=x