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3 years ago

Three times a number, X, increased by four is equal to five times the number, x. Which equation can be used to solve for x

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

Three times a number x : 3x

Three times a number x increase by 4: 3x +4

Five times the number x: 5x

5x = 3x +4

Subtract 3x from both the sides.

5x - 3x = 3x +4 - 3x

2x = 4

Divide both sides by 2

2x/2 = 4/2

x=2

The number is 2

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Find the area of the irregular figure.

PilotLPTM [1.2K]

Answer:

Option A. $432\ units^{2}$

Step-by-step explanation:

we know that

The area of the irregular figure is equal to the area of two trapezoids

The area of trapezoid is equal to

$A=\frac{1}{2}(b1+b2)h$

where

b1,b2 are the parallel bases

h is the perpendicular distance between the parallel bases

Find the left trapezoid area

$A1=\frac{1}{2}(4+25)(16)=232\ units^{2}$

Find the trapezoid area on the right

$A2=\frac{1}{2}(25+15)(10)=200\ units^{2}$

The area of the irregular figure is

$A=A1+A2=232\ units^{2}+200\ units^{2}=432\ units^{2}$

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