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sattari [20]
2 years ago
5

Solve for Xexplain the process for this problem​

Mathematics
1 answer:
aksik [14]2 years ago
5 0

Answer:

x = 40

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

126° is an exterior angle of the triangle, then

x + 2x + 6 = 126

3x + 6 = 126 ( subtract 6 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

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A box of modelling clay with a mass of 6.9 kg is divided equally among 12 students.
kaheart [24]

Answer:

Each student gets 575 gram of clay

Step-by-step explanation:

1 kg  = 1000 g

Mass of the total clay = 6.9 kg = 6.9 * 1000 = 6900.0 = 6900 g

Clay received by each student = Total / Number of students

                = 6900 / 12

                = 575 g

8 0
3 years ago
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7 0
3 years ago
If you substitute 3 for x what is the matching value for y? -3x-y=-7
Mnenie [13.5K]

-3(3) - y = -7

-9- y = -7

add 9 to each side -y = 2


y=-2

6 0
3 years ago
Given directed line segment PR below, find the coordinates of Q on PR
g100num [7]

Answer:

(\frac{4}{3},-3)

Step-by-step explanation:

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (x_1,y_1) and B(x_2,y_2) is given by the formula:

x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1

From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:

x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3}   \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3

Point Q is at (\frac{4}{3},-3)

5 0
3 years ago
Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answer
vagabundo [1.1K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

\to \frac{5 \pi }{6}

calculating a positive coterminal angle:

\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6} \\\\

calculating negative coterminal angle:

\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6} \\\\

In point b:

\to \frac{-9 \pi }{4}

calculating a positive coterminal angle:

\to \frac{ -9 \pi }{4} + 2 \pi  \ \   = \frac{-9 \pi + 8 \pi }{4} \\\\

\to \frac{ - \pi }{4} + 2 \pi  \ \   = \frac{- \pi + 8 \pi }{4} \\\\

= \frac{ 7 \pi}{4}

calculating a negative coterminal angle:

\to \frac{ -9 \pi }{4} - 2 \pi  \\\\   \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to  \frac{-17 \pi }{4}

3 0
3 years ago
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