Step-by-step explanation:
area of trapezoid=(a+b)×h divided by 2
=(9+19)×4 divided by2
=28×4 divided by2
=112 divided by 2
=56m square
Answer:
<h2>In the attachment</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - point
We have the equation:
Therefore we have
the slope m = -2/3
and the point (-9, 5)
A slope
rise = -2
run = 3
From the point (-9, 5) ⇒ 2 units down and 3 units to the right.
For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle,
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.
</span>⇒ α² + β² = c²
<span>
"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
</span>
For example: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.
c2 = a2+ b2
c2 = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5
In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.
Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.
Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.
