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saul85 [17]
2 years ago
10

If S is the midpoint of RT, RS = 5x+7, and ST = 8x-31, find RS

Mathematics
1 answer:
Strike441 [17]2 years ago
8 0

Answer:

38/3

Step-by-step explanation:

s is the midpoint of RT

so, RS = ST

5x + 7 = 8x -31

7+31 = 8x-5x

38= 3x

x= 38/3

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When planning road development, the road commission estimates the future population using the function represented in the table,
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Considering that 160,000 is the y-intercept of the function, it's significance is given by:

the initial population at the time of the estimation.

<h3>What is the y-intercept of a function f(x)?</h3>

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:

the initial population at the time of the estimation.

More can be learned about the y-intercept of a function at brainly.com/question/27979095

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2 years ago
Fei Yens dog eats 8 ounces of dog food each day. Fei Yen bought a 28 pound bag of dog food. how many 8 ounce servings are in a 2
steposvetlana [31]
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3 years ago
14. Shaun has a bag with 12 yellow tiles and
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3 should be added to the tiles
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find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square unit
viva [34]
Pls. see attachment. 

We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.

Given:

51 degrees.

Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.

180 – 51 – 90 = 39 degrees

39 degrees * 2 = 78 degrees.

Angle Q is 78 degrees.

In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.

We will use the formula:

Sine theta = opposite / hypotenuse

Sin(78 deg) = opposite / 4.3

Sin(78 deg) * 4.3 = opposite

4.21 = opposite. This is also the height of the triangle.

 

Area of a triangle = ½ * base * height

A = ½ * 3units * 4.21units

A = 6.315 square units.

7 0
3 years ago
The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac
zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ \frac{1}{Distance.Between.chairs}

70 chairs are 24m apart, so it can be written as:

70  ∝ \frac{1}{24}

For, 1 chair , we divide both sides by 70

\frac{70}{70} ∝ \frac{1}{24(70)}

1 ∝ \frac{1}{24 (70)}               -----------------------(Equation 1)

<u>For 80 chairs:</u>

Multiply both sides of <em>Equation.1</em> by 80

80  ∝ \frac{80}{24 (70)}      

80  ∝ \frac{1}{21}      

So according to the above relation,

<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>

7 0
3 years ago
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