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4 years ago

The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of degrees.

Mathematics

2 answers:

Katyanochek1 [597]4 years ago

8 0

Answer:

The final angle is 124°

Step-by-step explanation:

1. Getting the total sum of all angles:

The general rule to get the sum of all interior angles is as follows:

sum of interior angles = (n-2)*180

where n is the number of sides

We know that a heptagon has 7 sides, therefore:

sum of interior angles of a heptagon = (7-2)*180 = 5 * 180 = 900°

2. Getting the missing angle:

We know that the total sum of all 7 angles is 900°

We also know that the sum of 6 of those angles = 776°

This means that:

measure of the last angle = 900 - 776

measure of last angle = 124°

The final angle is 124°

Hope this helps :)

Hatshy [7]4 years ago

3 0

Answer:

124 degrees

Step-by-step explanation:

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vodomira [7]

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2 years ago

Which represents the solution set to the inequality -1.5(4x + 1) > 4.5 -2.5(x + 1)?

laila [671]

<h2>The solution set to inequality is:</h2>

$\boxed{-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

Solution:

Given inequality is:

$-1.5(4x + 1) > 4.5 -2.5(x + 1)$

We have to find the solution set to inequality

From given,

$-1.5(4x + 1) > 4.5 -2.5(x + 1)\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4x+1\right)\cdot \:10>4.5\cdot \:10-2.5\left(x+1\right)\cdot \:10\\\\-15\left(4x+1\right)>45-25\left(x+1\right)$

Expand

$-60x -15 > 45 -25x - 25\\\\Simplify\\\\-60x-15>-25x +20$

$\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\-60x-15+15>-25x+20+15\\\\Simplify\\\\-60x>-25x+35\\\\\mathrm{Add\:}25x\mathrm{\:to\:both\:sides}\\\\-60x+25x>-25x+35+25x\\\\Simplify\\\\-35x>35\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-35x\right)\left(-1\right)$

Thus the solution set is:

$-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x$

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3 years ago

Read 2 more answers

Marvin is saving $5.25 a week to buy a new video game that costs 69.15. How many

Lostsunrise [7]

Answer: 10.62 irrational

Step-by-step explanation: You can divide 69.15 by 5.25 which equals 74.4 then divide by 7 which equals 10.62

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2 years ago

Which points lie on the graph of f(x) = log9x? Check all that apply.

valkas [14]

Answer:

Let

y=f(x)

y=log9x

we know that

applying property of logarithms

y= log9x is equal to

------> equation 1

case 1) (-1/81, 2)

x=-1/81

y=2