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Alex787 [66]
3 years ago
5

Determine the solution to the system of equations below. x-3y=1 3x-5y=11

Mathematics
1 answer:
EastWind [94]3 years ago
5 0
The answer you are looking for is (7, 2).
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
2 years ago
Find g. (-9)<br> g(+)= r^2 + 3r
oee [108]

Answer:

  • g(-9) = 64

Step-by-step explanation:

<u>Given function:</u>

  • g(r) = r² + 3r

<u>Find g(-9):</u>

  • g(-9) = (-9)² + 3(-9) = 81 - 27 = 64
7 0
2 years ago
Helpp pleaseee will give brainilisist
LenKa [72]

Answer:

I disagree with both Andre thinks exponents

are just a different way of writing

multiplication of two numbers. Elena

calculates 28 to the power of two rather than 2 to the power of 28.

Step-by-step explanation:

Correct because I have on answer key.

3 0
2 years ago
Read 2 more answers
Mansa runs 1/3 of a mile in 1/16 of an hour. what is his unit rate in miles per hour​
REY [17]

Answer:

5 1/3 mph or 5.33mph

Step-by-step explanation:

1/3 of a mile / 1/16 of an hour = MPH. In order to divide fractions you flip the bottom fraction and multiply across. 1/3 / 1/16 = 1/3 * 16/1 = 16/3 = 5 1/3 = 5.33mph

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3 years ago
TRUE FALSE The supplement of 789 is 12​
Burka [1]
The answer is False :)
7 0
3 years ago
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