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Marat540 [252]
2 years ago
8

What is measure of angle Q

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
6 0

57° is the answer

A triangle adds up to 180° , a circle adds up to 180°

T = 126 °

S = 180° - 126°

S= 54°

R = 69°

Q + S + R = 180°

69 + 54° = 123°

=180° - 123° =

Q= 57°

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ivanzaharov [21]

1.  The first equation is - 2x + 5y = 0

Second equation is y = \frac{2}{5} x

5y = 2x

- 2x + 5y = 0

Hence, the two equations are equivalent.

2.  a_{1} = 2, a_{2} = - 2

b_{1} = -1,  b_{2} = -1

\frac{a_{1} }{a_{2}} =\frac{2}{-2} = -1

\frac{b_{1} }{b_{2}} = \frac{-1}{-1}  = 1

\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}

Hence, the equations are consistent.

3.   a_{1} = 4, a_{2} = 6

b_{1} = -1, b_{2} = -1

\frac{a_{1} }{a_{2}} =\frac{4}{6} = \frac{2 }{3}

\frac{b_{1} }{b_{2}} = \frac{-1}{-1} = 1

\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}

Hence, the equations are consistent.

4.  Equations can be re-arranged as:

x + y - 4 = 0 and

x + y + 6 = 0

a_{1} = 1, a_{2} = 1

b_{1} = 1, b_{2} = 1

c_{1} = -4, c_{2} = 6

\frac{a_{1} }{a_{2}} =\frac{1}{1} = 1

\frac{b_{1} }{b_{2}} =\frac{1}{1} = 1

\frac{c_{1} }{c_{2}} =\frac{-4}{6} = \frac{-2}{3}

\frac{a_{1} }{a_{2}} = \frac{b_{1} }{b_{2}} \neq \frac{c_{1} }{c_{2}}

Hence, the equations are inconsistent.

5.  If we multiply the first equation by 4, we will get,

2y = -4x + 20 which is the second equation.

Hence, the equations are equivalent.

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3 years ago
Sasha is dividing 1/4 pound of peanuts into 5 plastic bags. What fraction of a pound of peanuts will be in each plastic bag?
bearhunter [10]

Answer:

1/20

Step-by-step explanation:

(1/4)/5= (1/4)/(5/1)

You cross multiply and you get 1/20

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Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your
Aneli [31]
In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,

    y - y₁ = m(x - x₁)

Substituting the known values,

   y - 1 = (2/3)(x - 1)

Simplifying,

    3y - 3 = 2x - 2

Further simplifying,

<em>  2x - 3y = -1</em>
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Consider this solution.
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Fifty-three donkeys each hauled 62 pounds of grain from the mountain to the valley. all of the grain was loaded equally into 31
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sad nobody answered for the poor guy.

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