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Mathematics

1 answer:

V125BC [204]3 years ago

5 0

Answer:

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Given two complementary angles, 3x and (x - 2). Find the value of x.

ohaa [14]

Answer:

x = 23°

Step-by-step explanation:

Note: Complementary angles measure 90°

3x + (x - 2)° = 90°

=> 3x + x - 2° = 90°

=> 4x - 2° = 90°

Add the additive inverse of -2 to both sides of the equation

i.e 4x - 2° + 2° = 90° + 2°

=> 4x = 92°

Divide both sides of the equation by the coefficient of x which is 4

=> 4x/4 = 92°/4

x = 23°

6 0

3 years ago

Lauren bought 5 pizzas for $17 each. She paid with a $100 bill.

Lelechka [254]

The first blank is 17
2nd blank is 85
3rd blank is 15

wat happened is
C=paid-costofpizzas
paid=100
costofpizzas=number of pizzas times cost per pizza
costofpizzas=5 times 17

so
C=100-5 times 17
C=100-85
C=15
change=$15

6 0

3 years ago

Read 2 more answers

Write the equation of a circle with center at (3, -2), which also passes through the point (0, 2).

Airida [17]

$\text{The equation of acircle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\(h;\ k)-center\\r-radius\\\\\text{We have center}\ (3,\ -2)\to h=3\ \text{and}\ k=-2.\\\\\text{The radius is the distance between the points} (3,\ -2)\ \text{and}\ (0,\ 2).\\\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Substitute:}\\\\d=\sqrt{(2-(-2))^2+(0-3)^2}=\sqrt{4^2+(-3)^2}=\sqrt{16+9}\\\\=\sqrt{25}=5\\\\Answer:\ \boxed{(x-3)^2+(y-(-2))^2=5^2\to\boxed{(x-3)^2+(y+2)^2=25}}$