Answer:
29
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
Solve for x:
(5 x)/4 = x/2 - 3
Put each term in x/2 - 3 over the common denominator 2: x/2 - 3 = x/2 - 6/2:
(5 x)/4 = x/2 - 6/2
x/2 - 6/2 = (x - 6)/2:
(5 x)/4 = (x - 6)/2
Multiply both sides by 4:
(4×5 x)/4 = (4 (x - 6))/2
(4×5 x)/4 = 4/4×5 x = 5 x:
5 x = (4 (x - 6))/2
4/2 = (2×2)/2 = 2:
5 x = 2 (x - 6)
Expand out terms of the right hand side:
5 x = 2 x - 12
Subtract 2 x from both sides:
5 x - 2 x = (2 x - 2 x) - 12
5 x - 2 x = 3 x:
3 x = (2 x - 2 x) - 12
2 x - 2 x = 0:
3 x = -12
Divide both sides of 3 x = -12 by 3:
(3 x)/3 = (-12)/3
3/3 = 1:
x = (-12)/3
The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:
Answer: x = -4
Answer:
The length of the side opposite the 60 degree angle 'c' = 4
Step-by-step explanation:
<u>Step(i)</u>:-
Given data ∠A = 90° , ∠B = 60° and ∠C = 30°
Given data the length of the side opposite the 30 degree angle is 8
let 'a' = 8
<u><em>step(ii)</em></u>:-
<em>By using sine rule formula in properties of triangle</em>
<em></em>
<em></em>
<em></em>
<em></em>
cross multiplication , we get
<em></em>
<em>we know that trigonometry formulas</em>
<em>sin 30° = </em>
<em> and sin 90°= 1</em>
<em>C = 8 X 1/2 = 4</em>
<u><em>conclusion</em></u>:-
<em>The length of the side opposite the 60 degree angle 'c' = 4</em>
<em></em>
A scaled triangle because they are all different lengths
Answer:
8+2z
Step-by-step explanation:
8+(3z-z=2z)=
8+2z
