Which postulate can be used to prove that the triangles are congruent?

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

White raven [17]

Answer:

Let the breadth is x, then the length is 3x.

The area is:

A = lw = 3x*x = 3x²

The breadth is decreased by 2 m:

w = x - 2

The length is increased by 4m:

l = 3x + 4

The area is now:

(x - 2)(3x + 4) = 3x² - 1/3(3x²)
3x² + 4x - 6x - 8 = 2x²
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = 3
x = 4

The breadth was 4 m and the length 12 m

8 0

2 years ago

A above ground garden is rectangular and has a length of 15 feet and a height of 2 feet. It will hold 375 cubic feet of soil. Wh

Fittoniya [83]

Answer: $12.5\ ft$

Step-by-step explanation:

Given

Length L=15 feet

width b=2 feet

Volume V=375 cubic feet

Suppose h is the height

Volume is given by $V=l\times b\times h$

$\Rightarrow 375=15\times 2\times h\\\Rightarrow h=\frac{375}{30}=12.5\ ft$

4 0

3 years ago

Why are inverse relationships between operations used to solve two step inequalities?

zhenek [66]

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.

Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative

It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)

4 0

3 years ago

Identify the slope and y-intercept of the line!

marta [7]

Slope of the line = $\frac{1}{2}$ .