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3 years ago

Find the value of x on this triangle

Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

Answer:

x = 35

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (x+2)^2

FOIL

x^2+144=x^2+4x+4

Subtract x^2 from each side

144= 4x+4

Subtract 4 from each side

140 = 4x

Divide by 4

35 =x

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What is 2x+8y=12 in slope intercept form <br>as well as x-2y=0 in slope intercept form

earnstyle [38]

$the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 2x+8y=12 \ \ |-2x \\ \\8y=-2x+12\ \ /:8\\ \\y=-\frac{2}{8}x+\frac{12}{8}$

$y=-\frac{1}{4}x+\frac{3}{4}\\ \\ m=-\frac{1}{4}$

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3 years ago

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Emilia solved this inequality as shown:

xxTIMURxx [149]

Answer:

Subtractionproperty of inequality.

Step-by-step explanation:

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3 years ago

A Fraction Number: The sum of the numerator and denominator is 40. if its value is 3/5 after simplifying, what is the fraction b

katrin2010 [14]

Here: Fraction = 3/5
Let, original fraction (before simplifying) = 3x/5x
Then, 3x + 5x = 40
8x = 40
x = 40/8
x = 5

So, 3x = 3(5) = 15 & 5(5) = 25

In short, Your Answer would be 15/25

Hope this helps!

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3 years ago

A small theater sold 72 tickets for a

Mariulka [41]

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

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Dafna1 [17]

The surface area would be 68 squared inches. I hope this helps!

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3 years ago