Five more than twice a number is three times the difference of that number and two. What is the number.
1 answer:
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the total area of sections 1 and 2 is 48 square units !
<u>Step-by-step explanation:</u>
Here we have , The triangle and the rectangle have the same base, b, and height, h. If the area of the triangle is 48 square units,We need to find what is the total area of sections 1 and 2 . Let's find out:
According to question , we have a triangle with same base and height as of rectangle inside a rectangle ! Following are the parameters of rectangle:
but , Area of rectangle = . Also , Area of triangle :
⇒
⇒
So , Area of rectangle = . Total area of section 1 & 2 is given by :
⇒
⇒
Therefore , the total area of sections 1 and 2 is 48 square units !
A rectangle is a parallelogram with four right angles.
That's why in order to prove that LMNP is rectangle you have to show that LP is perpendicular to PN.
Solution:
The coordinates of vertices are L(-4,1), P(-3,-1) and N(3,2), then
.
Find the dot product:
.
Since the dot product of two vectors is equal to zero, these vectors are perpendicular.
LMNP is a parallelogarm, then
.
You show that all angles are right, this means that parallelogram LMNP is a rectangle.
Answer: correct choice is D.