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Vesnalui [34]
3 years ago
8

Find the value of X in each of the given triangles.​

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

x = 24

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

<u>Geometry</u>

  • All angles in a triangle add up to 180°

Step-by-step explanation:

<u>Step 1: Set Up Equation</u>

3x + 2x + 60° = 180°

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

  1. Combine like terms:                    5x + 60 = 180
  2. Isolate <em>x </em>term:                              5x = 120
  3. Isolate <em>x</em>:                                       x = 24
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I need help on these questions please
Paraphin [41]

Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(72°) = \frac{12}{x}

    x = \frac{12}{\text{tan}(72)}

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

    tan(x) = \frac{20}{58}

    x = \text{tan}^{-1}(\frac{20}{58} )

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

    tan(70) = \frac{60}{x}

    x = \frac{60}{\text{tan}(70)}

    x = 21.838

    x ≈ 21.8

7 0
3 years ago
Solve the system by substitution.<br> -2y - 10 = x<br> - 10x - y = -14
masya89 [10]

Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

Solve−2y−10=x for x

−2y−10=x

−2y−10+−x=x+−x

−x−2y−10=0

−x−2y−10+2y=0+2y

−x−10=2y

−x−10+10=2y+10

−x=2y+10

-x/-1=2y+10/-1

x=−2y−10

Substitute−2y−10 for x in−10x−y=−14

−10x−y=−14

−10(−2y−10)−y=−14

19y+100=−14

19y+100+−100=−14+−100

19y=−114

19y/19=-114/19

y=-6

Substitute−6 for y in x=−2y−10

x=−2y−10

x=(−2)(−6)−10

x= 2

x=2 and y=−6

6 0
3 years ago
There are 88 students at Beast Academy. The number of students with fur is twice as
Tom [10]

Answer:

24

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Evaluate.
Alex787 [66]
2 - 12 + 18
= -10 + 18
= 8
The answer is D.
4 0
3 years ago
Rearrange to make x the subject of 4(x-3)/a=y
IrinaVladis [17]

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

I hope this helps.

4 0
3 years ago
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