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4 years ago

If TV= 74 and WV = 4x+1 Solve for X

Mathematics

1 answer:

AfilCa [17]4 years ago

8 0

As you look at the picture above, you may notice that the WV is half of TV.

To solve for the equation above,

You need to learn first that the TV will be WV (2), because WV is only half of the TV, giving two WV.

After that, you have to write your equation.

Since we need two WV = (4x + 1) + (4x + 1) = 74(TV)

Simplify both WV, will give you = 8x + 2(WV) = 74(TV)

In order to get the x, subtract 2 from 74, finally giving you 8x=72

Divide 8 and 72, in order to obtain your x.

The answer is: X=9

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3 years ago

Find the slope or rate of change.

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Answer:

$m=\frac{5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-2, 0)

Point (1, 5)

Step 2: Find slope m

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3 years ago

Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108

mr Goodwill [35]

Answer:

Part 1) $a=108^o$

Part 2) $b=24^o$

Step-by-step explanation:

Part 1) Find the measure of angle a

we know that

The formula to calculate the measure of the interior angle of a regular polygon is equal to

$\frac{180^o(n-2)}{n}$

where

n is the number of sides of the regular polygon

For the regular pentagon in the figure

n=5

substitute in the formula

$a=\frac{180^o(5-2)}{5}$

$a=\frac{180^o(3)}{5}$

$a=108^o$

Part 2) Find the measure of angle b

Remember that a regular polygon has equal sides and equal interior angles

In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon

therefore

The triangle in white of the figure is an isosceles triangle

The measure of the vertex angle of the isosceles triangle is equal to

$360^o-(108^o+60^o+60^o)=132^o$

Remember that

The sum of the interior angles of triangle must be equal to 180 degrees

$2b+132^o=180^o$

solve for b

$2b=180^o-132^o$

$2b=48^o$

$b=24^o$

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3 years ago