You would have to use the quadratic formula because it’s not a perfect square
Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
Total Weight = Weight of the book + Weight of the CD + Weight of the box
Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound
Total Weight = 5/4 + 1/5 + 3/10
To add these fractions, you need to put them over a common denominator. To do that, find the least common multiple of 4, 5, and 10. Below is a table of the multiples. The least multiple they have in common is 20, shown in orange. So use 20 as your least common denominator.
1 2 3 4 5 6 7
4 x 4 8 12 16 20 24 ...
5 x 5 10 15 20 25 30 ...
10 x 10 20 30 40 50 60 ...
Can you finish it from here?
Answer:

Step-by-step explanation:
<u>Right Triangle</u>
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°

Answer:
7<em><u>f</u></em>
Step-by-step explanation:
You move 7 to the left of <em>f. </em>
This makes the exact value of <em>f</em>(7), 7<em>f</em>.