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Vladimir [108]
4 years ago
11

What is the angle x of a triangle? Solve with this equation. 60+x+100= 180​

Mathematics
1 answer:
Bogdan [553]4 years ago
3 0

Answer:

20

Step-by-step explanation:

60+x+100=180 is the equation we are asked to solve.

Using commutative property of addition you can rewrite as:

x+60+100=180

Using associative property of addition you can rewrite as:

x+(60+100)=180

Combine like terms/simplify:

x+(160)=180

x+160=180

Use subtraction property of equality to rewrite as:

x+160-160=180-160

Simplify both sides:

x+0=20

Apply the additive identity property:

x=20

So x=20.

Check.

60+x+100=180 with x=20:

60+20+100=180

80+100=180

180=180

The last line I have here is true so x=20 has been verified as the solution.

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How do I compare decimal numbers
Neporo4naja [7]
When comparing decimals, start in the tenths place. The decimal with the biggest value there is greater. If they are the same, move to the hundredths place and compare these values. If the values are still the same keep moving to the right until you find one that is greater or until you find that they are equal.
6 0
3 years ago
Read 2 more answers
In right triangle ABC, angle C = 90 degrees, c = 3, and a + b = square root of 17. Compute the area of the triangle.
Klio2033 [76]

Answer:

2

Step-by-step explanation:

Given in the question,

a + b = √17

(a+b)² = 17

a² + b² +2ab = 17

a² + b² = 17 - 2ab

<h3>Area of triangle </h3>

1/2 (h)(b)

here h is perpendicular height of triangle = a

        b is the base of triangle = b

<h3>Use pythagorus theorem:</h3>

hypotenuse² =  base² + height²

3² = a² + b²

9 = a² + b²

9 = 17 - 2ab

9 - 17 = -2ab

-8  = -2ab

cancel minus on both sides

8  = 2ab

ab = 8/2

ab = 4

Plug ab in the formula of area

1/2 (h)(b)

1/2 (a)(b)

1/2 (4)

4/2

2

4 0
4 years ago
Suppose a triangle has two sides of length 2 and 3 and that angle between these two sides is 60 degrees. What is the length of t
Rudiy27

Answer:

The measure of the third side is \sqrt{7}\ units

Step-by-step explanation:

we know that

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

where

C is the angle between side a and side b

we have

a=2\ units\\b=3\ units\\C=60^o

substitute

c^2=2^2+3^2-2(2)(3)cos(60^o)

c^2=13-(12)(\frac{1}{2})

c^2=13-6

c^2=7

c=\sqrt{7}\ units

5 0
4 years ago
Please help me with this!!!!!!!!!!
Nat2105 [25]
It's the bottom one. Miko found the incorrect and checked her work using multipication incorrectly.

This is because the correct way to solve this would to use (5/1) * (3/5) = (15/5) then simplify it to 3/1 or simply 3.

Dividing fractions is simply flipping the second fraction and then multiplying across
4 0
3 years ago
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
3 years ago
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