Supplementary angles add up to 180°
-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°
Given:
ABCD is a quadrilateral
AC = 12, DE = 4 and FB = 5
To find:
The area of the polygon.
Solution:
AC bisects the quadrilateral into two triangles.
Area of triangle:
<u>Area of triangle DAC:</u>
Area of triangle DAC = 24 square units.
<u>Area of triangle BAC:</u>
Area of triangle BAC = 30 square units.
Area of polygon = Area of triangle DAC + Area of triangle BAC
= 24 square units + 30 square units
= 54 square units
The area of the polygon is 54 square units.
The model will be 5 times longer that stated.
E.g if the model is said to be 10 feet long using this scale.
10*5=50
50 feet
First let's find the rate at which one person paint one wall. We know it takes 40 minutes for 8 people to paint 4 walls.
If we divide 40 minutes by 4 walls, we find that it takes 8 people 10 minutes to paint ONE wall. Next, we multiply 10 minutes per wall by 8 people to find how long it takes ONE person to paint ONE wall. Since it takes 8 people 10 minutes, reducing the number of people to one will increase the required time by a factor of 10. So it takes ONE person 80 minutes to paint ONE wall.
Now let's use this information to find out how long it takes 10 people to paint 7 walls. First, multiply 80 minutes by 7 since there are 7 times as much wall to paint. We now know that it takes 560 minutes for one person to paint 7 walls. Finally, divide 560 minutes by 10 people.
The answer is 56 minutes.
Total=sum of parts
Total= trinomial 1 + trinomial 2
Also, total - trinomial 1=trinomial 2
7x² - 5x + 4 -(3x² + 2x - 1)=missing trinomial
7x²-5x+4+(-1 )(3x²+2x-1 ) distribution of -1
7x²-5x+4+(-1)(3x²)+(-1)(2x)-(-1)(1)
7x²-5x+4-3x²-2x+1 simplified
7x²-3x²-5x-2x+4+1 commutative
4x²-7x+5 SOLUTION
