Question

№1 Решите уравнение: 1) x+34 83 +42 2) 45 - (х - 16) - 28 №2 Одна из сторон треугольника равна 24см, вторая — 4 раза короче первой, а третья — на 16 см длиннее второй. Вычислите периметр треугольника

Answer 1

Ответ:

1) 24:4=6-2сторона

2) 6+16=22-3сторона

переметер-это сумма длин всех сторон

24+6+22=52см переметер треугольника

Answer 2

Перед тем как решать уравнения и вычислять периметр треугольника, давайте переведем ваш вопрос на английский язык для лучшего понимания:

Question: Answer in detail. #1 Solve the equation: 1) x + 34 = 83 + 42 2) 45 - (x - 16) - 28

#2 One side of a triangle is 24 cm, the second side is 4 times shorter than the first side, and the third side is 16 cm longer than the second side. Calculate the perimeter of the triangle.

Now let's solve these problems step by step.

#1 Solve the equation:

1) x + 34 = 83 + 42

To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by subtracting 34 from both sides of the equation:

x + 34 - 34 = 83 + 42 - 34

Simplifying the equation:

x = 91

So, the solution to the equation x + 34 = 83 + 42 is x = 91.

2) 45 - (x - 16) - 28

This equation involves parentheses. To solve it, we need to distribute the negative sign (-) to the terms inside the parentheses:

45 - x + 16 - 28

Combining like terms:

33 - x

So, the solution to the equation 45 - (x - 16) - 28 is 33 - x.

#2 Calculate the perimeter of the triangle:

In this problem, we are given the lengths of three sides of a triangle and we need to calculate its perimeter.

Let's denote the first side as "a", the second side as "b", and the third side as "c".

Given: a = 24 cm b = 4 * a (since the second side is 4 times shorter than the first side) c = b + 16 (since the third side is 16 cm longer than the second side)

Substituting the given values into the equations, we have:

b = 4 * 24 = 96 cm c = 96 + 16 = 112 cm

To calculate the perimeter, we need to sum up the lengths of all three sides:

Perimeter = a + b + c Perimeter = 24 + 96 + 112 Perimeter = 232 cm

So, the perimeter of the triangle is 232 cm.

I hope this helps! Let me know if you have any further questions.