To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:
Now, since the figure already shows that angle 
Now, since we have established that the base angles 
we can now solve the above equation for m<2 as follows:
Therefore, the correct answer is: option D
Answer:
20
Step-by-step explanation:
Assuming that the equation is x³ = 64, that can be solved by putting cube root on both sides like so: ∛(x³) = ∛64, which simplifies to <em>x = 4</em>.
Plugging that into our expression gives us <em>4² + 4</em>, which is 20.
Answer:
you can use quadratic formula for this equation
=
−
±√
²
−
4
÷2
6120 is your answer. scientific/standard notation is very easy. if you need help understanding, pm me :)
Answer:
The value of x = 12 and the measure of each side is 23 units.
Step-by-step explanation:
Given: STU is an equilateral triangle.
ST = 2x -1
SU = 5x - 37
TU = x + 11
Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.
⇒ ST = SU = TU
or, 2x -1 = 5x - 37 = x + 11
Considering : 2x -1 = 5x - 37 , we get
-1 + 37 = 5x - 2x
or 3x = 36
or, x = 12
Considering : 5x - 37 = x + 11 , we get
5x -x = 11 + 37
or, 4x = 48 or, x = 12
Considering : x + 11 = 2x -1
or, 2x - 1 = x + 11
or, x = 12
hence, in all the cases value of x = 12
ST = 2x -1 = 2(12) -1 = 23 units
SU = 5x - 37= 5(12) -1 = 23 units
TU = x + 11 = 12 = 11 = 23 units
