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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Combine like terms: 5x + 60 = 180
Isolate x term: 5x = 120
Isolate x: x = 24

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3 years ago

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Charra [1.4K]

Answer:

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Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

$z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft$

#Take the derivative of the first equation and solve for $dz$ :

$d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}$

#We then substitute the values given in the question to solve for $dz$ :

$dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78$

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s

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3 years ago

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Rashid [163]

Step-by-step explanation:

because the total sum of each percent is 90%

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3 years ago

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

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