Algebra
Factorize the following expression 0,25a2 - 36 b2
(0,5a - 6b) (0,5a + 6b)
In a right triangle, one acute angle is 50% of the other. Find the measures of the acute angles in degrees.
300, 600
one hundredth of a number.
precent. %
Find the remainder of the division
( -13 : 5)
2
In parallelogram ABCD, the angle bisectors of angles A and D intersect the opposite side and divide it into segments. Find the length of each segment if
AB=5 cm and BC=9 cm.
4cm, 1cm, 4cm.
a ray that divides an angle into two equal parts.
angle bisectoer.
Given
a#b = 2a - 3b .
find
( - 3 # 2 ) # 0
- 24
A rectangle is divided into two squares. How many times greater is the perimeter of the rectangle than the perimeter of each square?
1,5
a segment joining the midpoints of two sides of triangle.
Midline (midsegment)
In one class there are three times as many students as in the other. When 20 students moved from one class to the other, the numbers of students became equal. How many students were there in each class originally?”?
20, 60.
The midline of an isosceles trapezoid is equal in length to a leg. Find the perimeter of the trapezoid if the leg is 6 cm.
24 cm.
A fraction whose numerator is greater than or equal to the denominator.
Improper fraction.
Given , that
ab = 2 and a + b =5
Find
a2 + b2 = ?
21
When two parallel lines are intersected by a third line, the difference of two of the formed angles is 100∘. Find the measures of the angles.
40∘, 140∘.
the side opposite the right angle in the right triangle.
Hypotenuse.