Create a proportion.
2/4.20 = 5/x
Cross multiply.
2x = 21
x = 10.5
5 pounds of peaches will cost <u>$10.50.</u>
The sum of 8 and a number is 8 + x. Now multiply that by 4 to get 4(8 + x). The word "is the same as" means "equals" 59 more than the number, which means we add 59 to the unknown we have called x. So our equation now looks something like this (exactly like this, actually): 4(8 + x) = x + 59. Simplifying a bit gives us 32 + 4x = x + 59. 3x = 27 and x = 9. The number is 9!
Answer:
Yes, i believe that the generalization about the measure of a point angle of a star polygon is true.
First we find sum of interior angle of an n-sided star polygon.
number of triangle in a polygon = n - 2
sum of interior angle of a triangle = 180°
sum of interior angle of an n-sided star polygon = ( n - 2 ) × 180°
To find measure of a point angle, we use:
× 180°
To find a point angle we eliminate density by multiplying d by 2 in the formula for finding number of triangle, divide the whole by total number of sides and then multiply by the sum of interior angle of triangle(180°).
Since all the angle of a regular star polygon are equal, we can calculate each pointy interior angle of a regular star polygon using the formula given below:
× 180°
Answer:
88 cm²
Step-by-step explanation:
w = x
l = x + 3
P = 38
We know that
, so we substitute known values:

Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:
8 + 11 + 8 + 11 = 38. <em>Check.</em>
Thus, the area of the rectangle is:

Therefore, the area is 88 cm².