Answer:
12
Step-by-step explanation:
I hope it helped:)))))))))
Answer:
56 : 28 as 122 : 61
Step-by-step explanation:
Proportion says that two ratios or fractions are equal.
As per the statement:
56 : 28 :: 122 : ?
Let x be the fourth proportion.
then;
56 : 28 :: 122 : x
by definition of proportion:
by cross multiply we have;
Divide both sides by 56 we have;
x = 61
Therefore, 56 : 28 as 122 : 61
Answer:
3.
Step-by-step explanation:
If its an AS it well have a common difference, so 3rd term - 2nd term should = 2nd term - first term:-
29 + x - (28 - x) = 28 - x - (15 + x)
2x + 1 = 13 - 2x
4x = 12
x = 3.
The sequence is
15 + 3, 28-3, 29 + 3
= 18, 25, 32
which is arithmetic with common difference 7.
<span>Area of parallelograms
</span><span>We can figure out a formula for the area of a parallelogram by dissecting the parallelogram and rearranging the parts to make a rectangle. Because the parallelogram and rectangle are composed of the same parts, they necessarily have the same area. (See the definition of area for more about why those areas are the same.)
</span>
We can see that they also<span> have exactly the same base length (blue) and exactly the same height (green). Because </span><span>base x height</span><span> gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: </span><span>base x height</span><span>. (As before, "height" is measured perpendicular to the base, and "base" is whichever side you chose first. See parallelogram.)
</span>
Area of triangle
Knowing how to find the area of a parallelogram helps us find the area of a triangle.
Dissecting the triangle
We can dissect the triangle into two parts -- one of them a triangle, and one of them a trapezoid -- by slicing it parallel to the base. If we cut the height exactly in half with that slice, the two parts fit together to make a parallelogram with the same base but half the height.
So <span>base x half-height</span><span> gives the area of the triangle. A similar dissection shows </span><span>half-base x height</span><span>. Either of them reduces to 1/2 </span>bh.
The parallelogram's area is base x height, but that is twice the area of the triangle, so the triangle's area is <span>1/2 of base x height</span>, as we saw with the dissection method.
(As always, pick a "base" and measure the height perpendicular to that base, from the base to the opposite vertex.)
hope this helped!