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abruzzese [7]
3 years ago
9

I got 3 angles and they make 180° one of them is 6x - 10°. Another one is 4x + 6°. And the last one is 7x + 14°.

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

angle a=50      angle b= 46      angle c= 84

Step-by-step explanation:

6x-10+4x+6+7x+14=180

17x +10=180

-10                      -10

17x=170

/10     /10

x=10

6x-10  

(6 x 10) -10= 50

4x+6

(4 x 10) +6= 46

7x+14

(7 x 10) +14= 84

50+46+84=180

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Step-by-step explanation:

3 0
3 years ago
At a concession​ stand, five hot dog left parenthesis s right parenthesis and four hamburger left parenthesis s right parenthesi
mezya [45]
Hotdogs = $1.00
hamburgers = $1.75

5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y

5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)

checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔

equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
8 0
4 years ago
How can a shape have perdindicular but not parallel sides?
andreev551 [17]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Two functions are shown in the table below.
SVETLANKA909090 [29]

Answer:

(d)\ x = 4

Step-by-step explanation:

Given

f(x) = -x^2 + 4x + 12

g(x) = x + 8

Required

Find x such that: f(x) = g(x)

This gives:

-x^2 + 4x + 12 = x+8

Collect like terms

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-x^2 + 3x +4 =0

Expand

-x^2 + 4x - x+4 =0

Factorize

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Factor out x - 1

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Solve:

x =1\ or\ x = 4

8 0
3 years ago
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