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vredina [299]
3 years ago
15

The measure of one of the acute angles in a right triangle is given. what is the measure of the other angle?

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
This is your favourite answer

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(12 + 5) + 32 × (10 − 5)
Lemur [1.5K]

Answer: 177

Step-by-step explanation:

3 0
3 years ago
The measure of the supplement of an angle is 46 more than 3 times the complement of the angle. Find the angle.
Marta_Voda [28]

Answer:

45 degrees

Step-by-step explanation:

Let the angle to be solved be

x

Let the supplement/compliment by

y

x+

y=90

Complimentary angles add up to 90 degrees.

x+3

y=180

Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees

7 0
3 years ago
Which of the given choices is possible for the sides of a triangle​
seraphim [82]

Answer:

a+b>c

a+c>b

b+c>a

Step-by-step explanation:

1. Learn the triangle inequality theorem.

This theorem simply states that the sum of two sides of a triangle must be greater than the third side.

6 0
3 years ago
What is the value of x in this equation?<br><br> 2x – 12 = -52
Scrat [10]

Answer:

x = -20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 12 = -52

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

5 0
3 years ago
Read 2 more answers
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b = 77 centimeters and c = 85
MAVERICK [17]

Answer:

The perimeter of the triangle 198 cm.

Step-by-step explanation:

Given that,

In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.

Pythagorean Theorem:

Sum of square of the legs is equal to square of hypotenuse.

∴a²+b²=c²

a= ?, b= 77 cm and c=85 cm

a²+77²=85²

⇒a²+5929=7225

⇒a²=7225-5929

⇒a²= 1296

⇒a = 36 cm

The perimeter of the triangle = sum of all sides

                                                =a+b+c

                                                 =(36+77+85) cm

                                                = 198 cm

4 0
3 years ago
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