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2 years ago

8

Please help !!!!!!!!!!!

1 answer:

Dvinal [7]2 years ago

7 0

Answer: 6) x= 17 Same side interior angles sum to 180.

7) x= 3 Alternate exterior angles are equal.

8) x= 35 Corresponding angles are equal.

9) x= 12 Alternate interior angles are equal

Step-by-step explanation:

6) x= Same side interior angles sum to 180.

53+(8x-9)= 180

44+8x= 180

Subtract 44 from both sides

8x= 136

Divide both sides by 8

X = 17

7) x= Alternate exterior angles are equal. 15x+29= 26x-4

Subtract 15x from both sides

29= 11x-4

Add 4 to both sides

33= 11x

Divide both sides by 11

X=3

8) x= Corresponding angles are equal.

4x+7= 6x-63

Subtract 4x from both sides

7 = 2x -63

Add 63 to both sides

70= 2x

Divide both sides by 2

X= 35

9) x= Alternate interior angles are equal

9x+37= 14x-23

Subtract 9 x from both sides

37= 5x -23

Add 23 to both sides

60= 5x

Divide both sides by 5

12=x

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

PLEASE HELP!!!!!

Katena32 [7]

Answer:6018

Step-by-step explanation:

Given Sequence

$-282-266-250-234.....$

It represent an A.P. with

first term $a=-282$

common difference $d=16$

So sum of 51 term

$S_n=\frac{n}{2}[2a+(n-1)d]$

$S_{51}=\frac{51}{2}\times [2\times (-282)+(51-1)16]$

$S_{51}=\frac{51}{2}\times [-564+800]$

$S_{51}=\frac{51}{2}\times [236]$

$S_{51}=51\times 118$

$S_{51}=6018$

7 0

3 years ago

a triangle has perimeter 38cm. a square has perimeter 48cm. two sides of the shapes are put together to make a pentagon. what is

melomori [17]

Answer:

perimeter of Pentagon is 62 CM

perimeter of triangle is equal to 38 CM

perimeter of square is equal to 48 CM

therefore perimeter of one side of square is 48 divided by 4 is equal to 12 CM

perimeter of Pentagon is 62 CM

5 0

3 years ago

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lapo4ka [179]

Answer:

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Step-by-step explanation:

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2 years ago