Answer:
27 in each of the 7 classes
Step-by-step explanation:
First you would subtract 32 from 221
221 - 32 = 189
Then you would divide 189 (the total remaining students not in the 8th class) and divide by 7 (the total of classes remaining with equal students)
This will give you 27
Answer:
Step-by-step explanation:
Using the diagram, we can see that the angle is a right angle.
With this information, we can set up an equation:
Please note that right angles are always equivalent to 90 degrees.
Add like terms:
Subtract 82 from both sides:
Divide both sides by 8
Answer:
To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal.
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
Step-by-step explanation:
Triangle MRN is created by folding an equilateral triangle by half. Since triangle MRN is right triangle, the equilateral triangle must be folded along the height drawn to one side.
In equilateral triangle with side length of a units, the height is 
and the height is greater than half the side because
The leg with length x units has the smaller projection (2 units long) than the leg with length y units has (6 units long).
This means the leg with length y units is the height of the equilateral triangle. If the leg with length y units is the height of the equilateral triangle, then the hypotenuse MN = 8 units is the side of the equilateral triangle and lex with length x units is half the side, so x = 4 units.
By the Pythagorean theorem,
Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
__
<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
__
<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
