RO divides the rectangle into two congruent right triangles.
The area of the one triangle is equal half area of the rectangle.
Calculate the area of rectangle:
The area of right triangle:
Use the Pythagorean theorem to calculate the length of RO:
The formula of an area of this right triangle is:
Therefore we have the equation:
Answer:
vertical angles b= 86
Step-by-step explanation:
b is equal to 86 since the angles are vertical angles
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>
Answer:
Step-by-step explanation:
a) D/280 = tan(90 - 6)
D = 280tan84 = 2,664 ft
b) D/280 = tan(90 - 16)
D = 280tan74 = 976 ft
ship speed = (2664 - 976) / 43 = 39.2 ft/s
The Pythagorean Theorem states that a triangle's hypotenuse is equal to the square's of the other two sides of the triangle.
a² + b² = c<span>²
a = side of triangle
b = other side of triangle
c = hypotenuse (squared)
Find the square root to find the accurate length of the hypotenuse.</span>
