4n-5=3n+2
subtract 3n from each side
4n -5 -3n = 3n +2 -3n
n -5 = 2
add 5 to each side
n-5+5 = 2+5
n = 7
To solve a equation with a variable, you need to get the variable alone. I got the variable on the left hand side and the constants on the right hand side
Answer:
1/2
Step-by-step explanation:
First, <u>calculate the area of the triangle drawn</u>. The area of a triangle is calculated using the formula A = bh/2
"A" means area.
"b" means base.
"h" means height.
<u>Count the number of squares for each of the "straight" sides</u>, (not the longest diagonal side, which is called the hypotenuse.) It does not matter which one is called the height and which is called the base.
The two sides are 6 square units and 3 squares units. Use the measurements in the formula. "u" is for units.
A = bh/2
A = (6u)(3u)/2 Multiply 6u and 3u
A = (18u²)/2 Divide by 2
A = 9u² Area of the triangle depicted.
The scale factor, represented by the variable "k", tells you how much a shape shrunk or grew. If "k" is greater than 1, the shape grew. If "k" is greater than 0 and less than 1, the shape shrunk.
In this case, since the drawing is smaller than the actual triangle, the scale factor will be a fraction less than 1 and greater than 0.
<u>The scale factor is used for side length.</u> When it's used to find a side length, we use "k" multiplied by a side. <u>Since the information we know is area, we find k² first, then isolate "k".</u>
Divide the depicted triangle area by the actual area.
k² = 9u² ÷ 36u²
k² = 1/4
√k² = √(1/4)
k = 1/2 Scale
Therefore, the scale of the drawing is half.
The square of the hypotenuse is equal to the sum of the square of other two sides. The value of x from the given diagram to the nearest tenth is 11.2
<h3>Pythaogram theorem</h3>
According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 5.6 + 8.4 = 14
Other sides are x and 8.4
According to the theorem:
14^2 = x^2 + 8.4^2
x^2 = 14^2 - 8.4^2
Simplify
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
Hence the value of x from the given diagram to the nearest tenth is 11.2
Learn moreon Pythagoras theorem here: brainly.com/question/18811544
Answer:
a. 99.99 * .15 = 15 dollars off (14.9985 dollars)
b. 175000 *.07 = $12,250
c. rent = $2500 = x
y = total budget
y = 2500/.12 = $20,833.33
d. d = .19 * r
Step-by-step explanation:
Answer:
Step-by-step explanation:
Switch sides:
Solve the right side:
Divide both sides by -3:
Subtract 3 from both sides: