√(120x) can be rewritten as √(4*30*x). I have chosen these factors because 4 is a perfect square. This √(4*30*x) can be simplified further, leading to

√4 * √(30x), which in turn equals 2√(30x),

The correct answer is the first one of the four given.

8 0

3 years ago

What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is t

masha68 [24]

Answer:

$y = 5$

Step-by-step explanation:

Given:

An isosceles triangle ABC with AB = AC.

∠A = $(4y+10)\°$

∠B = $75\°$

∠C = $(3x)\°$

We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.

Therefore, ∠B = ∠C

⇒ $75 = 3x$

⇒ $x=\frac{75}{3}=25$

∴ ∠C = $3\times 25=75$ °

Now, the sum of all the interior angles of a triangle is always 180°.

$\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5$

Therefore, the value of 'y' is 5.

5 0

3 years ago