Answer:
C = 18
Step-by-step explanation:
There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form
Solution:
A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.
The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).
A right angled triangle is a triangle with one angle equals to 90 degrees.
Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:
sin30 = 9 / C
0.5 = 9 / C
C = 9/0.5
C = 18
Answer choice B. It's the only one with a right angle (90 degrees) which is the only way to form a right triangle
It <span> looks like the first thing you have to find is their GCF, ya reckon ?</span>
The factors of 56 are 1, 2, 4, 7, 8, 13, 28, and 56 .
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64 .
The common factors are 1, 2, 4, and 8 .
The greatest one is 8 .
56/8 = 7
64/8 = 8
56 plus 64 = (8 times 7) plus (8 times 8)
<span>56 plus 64 = </span>8 times (7 plus 8)<span> <== that's the answer</span>
Check it out:
<span>56 plus 64 = </span>120
<span>8 times (7 plus 8) = 8 times 15 = </span><span>120</span>
3x-24=-6 . Add 24 to both sides, so that leaves you with 3x=18. Divide by 3 on both sides, and x=6