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Anna71 [15]
3 years ago
11

If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Concl

usion: QR = RS
Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

All given information leads to conclusion described on statement. (QR = RS)

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) R is a point of segment QS and ii) R is the midpoint of QS. We proceed to perform the demonstration:

1) R\in QS, R is the midpoint of QS. Given.

2) Q - R = R -S Definition of midpoint.

3) QR = RS Definition of segment/Result.

All given information leads to conclusion described on statement. (QR = RS)

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It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho
Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

1h \ 14 min \ 7secs

8 0
2 years ago
4x -2 + 5x +6<br> What does this equal
egoroff_w [7]

Answer:

9x+4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr
siniylev [52]
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
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5 0
3 years ago
Read 2 more answers
Evaluate a+b for a=-17 and b=8
In-s [12.5K]

25

substitute 17 for A

substitute 8 for B

should look like this

17+8

then add

should look like this

17+8=25

8 0
3 years ago
Simplify 2(x - 3) + 7(x + 2).<br><br> 9x - 8<br> 9x + 3<br> 9x + 8
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7 0
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