Question

Solve for x

Enter your answer in the box

X=

Answer 1

• x = 3
• y = 30

Explanation:

We know that the triangle shown in the picture is an equilateral triangle because all the sides are the same. Since the triangle is an equilateral triangle, we can tell that 2y = 25x - 15. Now, let's solve for x.

• => 2y = 25x - 15 = 60
• => 25x - 15 = 60
• => 25x = 60 + 15
• => 25x = 75
• => x = 3
• => 2y = 60
• => y = 30

Conclusion:

Therefore, the answers are:

• x = 3
• y = 30

Hoped this helped.

`BrainiacUser1357`

Answer 2

x = 3

y = 30

Explanation:

The dashes on the sides of the given triangle mean that the side lengths are of equal measure. Therefore, the triangle is an equilateral triangle.

The interior angles of a triangle sum to 180°.

As the interior angles of an equilateral triangle are congruent, each interior angle is 60° (since 3 × 60° = 180°).

Therefore, to find x, set the expression given for angle B to 60° and solve for x:

⇒ (25x - 15)° = 60°

⇒ 25x - 15 = 60

⇒ 25x - 15 + 15 = 60 + 15

⇒ 25x = 75

⇒ 25x ÷ 25 = 75 ÷ 25

⇒ x = 3

Therefore, to find y, set the expression given for angle A to 60° and solve for y:

⇒ (2y)° = 60°

⇒ 2y = 60

⇒ 2y ÷ 2 = 60 ÷ 2

⇒ y = 30