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inna [77]
3 years ago
5

Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in

terior angle
Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

sum = 180° × 3 = 540°

To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°


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What is the equation of the line that passes through the points (-4,8) and (2,-1)
DiKsa [7]

Answer:

y - 8 = (3/2)(x + 4)

Step-by-step explanation:

As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise").  Thus, the slope is

m = rise / run = 9/6, or 3/2.

Using the point-slope form of the equation of a straight line, we get:

y - 8 = (3/2)(x + 4)

8 0
3 years ago
Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

7 0
3 years ago
To rule How to find f(7) ?
givi [52]
You would need to see the rest of the equation to plug in 7 for x. Treat it as y=equation and replace any x with 7.
8 0
3 years ago
Read 2 more answers
I don’t know how to set this up
kodGreya [7K]

Answer:

9

Step-by-step explanation:

Set it up as the following -

3:8 = x:24.

Now cross multiply - 3 * 24 = 8x

72 = 8x

Now divide both sides by 8.

9 = x

4 0
3 years ago
I Need help. Thanks.
PIT_PIT [208]

Answer:

A

Step-by-step explanation:

-2(5y-5)-3y\leq -7y+22

Expand parentheses:

-10y+10-3y\leq -7y+22

Move all y's to one side and numbers to the other:

-6y\leq 12

Divide both sides by -6. Since you are dividing both sides by a negative number, you need to flip the comparator:

y\geq -2

Hope this helps!

5 0
3 years ago
Read 2 more answers
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