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antiseptic1488 [7]
3 years ago
10

Find the values for x and y

Mathematics
2 answers:
mel-nik [20]3 years ago
4 0
Both form straight angles, which are 180 degrees.

x+4y+x+y=180
2x+5y=180

4x+y=180

Solve the second equation for y and substitute the variable.
y= -4x+180

2x+5(-4x+180)=180
2x-20x+900=180
-18x= -720
x=40

Plug the x value in
4(40)+y= 180
160+y=180
y=20

Final answer: x=40, y=20
Assoli18 [71]3 years ago
3 0
X+4y+x+y= 4x+y=180
simplify by adding like terms
2x+5y= 4x+y=180
Subtract y from each side
2x+4y=4x=180
Subtract 2x from each side
4y=2x=180
y=180/4=45
x=180/2=90
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A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises
Firdavs [7]

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

Water rises above sea level = 21 ft

Water drops below sea level = 21 ft

so

maximum = 21 ft and also

minimum = 21 ft

Amplitude = ( maximum + minimum ) / 2

Amplitude = ( 21 + 21 ) / 2

Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft

Period = 12 hours

and we know that; period = 2π/b

so

12 = 2π/b

12b = 2π

b = 2π / 12

b = π/6

Standard equation for simple harmonic is; y = asin(bt)

we substitute

y = 21 sin(πt/6)

Hence the required equation is; y = 21 sin(πt/6)

7 0
3 years ago
Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
alukav5142 [94]

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to \frac{1}{4}. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

4 0
2 years ago
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Find the value of x ?
enyata [817]

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

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4 0
3 years ago
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Naily [24]
The equation to this problem would be y = x/2 + 1
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2 years ago
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