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MArishka [77]
4 years ago
13

Find the value of the variable. Then find the angle measures of the polygon.

Mathematics
1 answer:
Anvisha [2.4K]4 years ago
7 0
First set up the equation (sum of the angles is 180)

2x + 2(x-1) + (5x +2) = 180

distribute:
2x + 2x -2 + 5x +2 = 180

combine like terms:
9x = 180
solve for x:

x = 20

SO:

2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees

check: 40 + 38 + 102 = 180
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The end points of line segment AB are A(3, -12) and B(6, k) what is the value of k if the slope of a line segment is -2? Show yo
lyudmila [28]
Two points determine a line.  In slope intercept form we have:
y = -2x + b

So:
-12 = -2(3) + b  and [first equation]
k = -2(6) + b [second equation]

We have a system of simultaneous equations with two unknowns.  The first is trivially easy to solve:

-12 = -6 + b  [Evaluate -2(3)]
-6 = b  [Add +6 to each side]

So we substitute this into the second equation:
k = -2(6) + -6 = -18

We could double check our work knowing that m=Δy/Δx

We expect m to be -2.  Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?

;)

7 0
3 years ago
Simplify sec ( t ) cos ( t ) to a single trig function.
Anarel [89]

sec ( t ) cos ( t )  = (1/cos (t)) *cos(t) = 1

8 0
4 years ago
PLEASE HELP!
serg [7]

Hello from MrBillDoesMath!

Answer:

x = 30

Discussion:

Note: I ignored the * in f*(x)  as i don't know what it means. (If this is not what you intended, please indicate what * means)

f(x) = 2 sqrt(x-5) + 4          

f(x) = 14

=>

14 = 2 sqrt(x-5) + 4             => subtract 4 from both sides

14 -4 = 2 sqrt(x-5)               => divide both sides by 2

10/2 = sqrt(x-5)                   =>

5 = sqrt(x-5)                        => square both sides

5*5 = x-5                              => add 5 to both sides

5*5 + 5  = x

25 + 5 = x

x = 30

Thank you,

MrB

3 0
4 years ago
Expand the following using either the Binomial Theorem or Pascal’s Triangle.<br> (x - 5)5
NemiM [27]
Pakal triangle is hard to do with long things, but it is easy up to like 5 degree
we look at the row for 5th degree (6th row)
the sequence is
1,5,10,10,5,1
that is the coeficients

for (a+b)^5 that is
1a^5b^0+5a^4b^1+10a^3b^2+10a^2b^3+5a^1b^4+1a^0b^5
see the exponents each time add to 5

so
1x^5(-5)^0+5x^4(-5)^1+10x^3(-5)^2+10x^2(-5)^3+5x^1(-5)^4+1x^0(-5)^5=
x^5-25x^4+250x^3-1250


5 0
3 years ago
What does expression L + W + L + W represent
Arisa [49]
I'm guessing it represents the perimeter.
8 0
3 years ago
Read 2 more answers
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