In order to find this you need to find a common denominator. 2/3 and 3/4 common denominator would be 12 and so what you do to the bottom you must do to the top. 2x4 is 8 and 3x3 is 9. that would make 8/12 and 9/12. 8 plus nine is 17 and 12 stays there so the answer is 17/12 which equals 1 and 5/10.
Step-by-step explanation:
it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).
we only need to calculate all 3 areas and add them up for the total.
the area of a rectangle is
length × width
so, in our 2 cases we have
6 × 2 = 12 km²
5 × (3 + 2 + 3) = 5×8 = 40 km²
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.
so, in our case
6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²
in total, the whole area is
12 + 40 + 39 = 91 km²
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
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In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
Vertical angles are congruent...they are equal....so set them equal to each other and solve for x
6x - 22 = 4x + 2
6x - 4x = 2 + 22
2x = 24
x = 24/2
x = 12 <==
This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).
So far that’s (2x-5) + g(x)
Then,
Do the same with equation given for g(x) which is now,
(2x-5) + (3x+1)
Then solve,
2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4
Therefore the answer is 5x - 4.