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Dennis_Churaev [7]
3 years ago
11

PQRS is a parallelogram. Find the m

Mathematics
2 answers:
timurjin [86]3 years ago
8 0

Answer:

R = 70

Q = 110

Step-by-step explanation:

In a parallelogram

Opposite angles are equal

P = R = 70

Same side angles are supplementary ,which means they add to 180

P+Q =180

70+Q =180

Q = 180-70

Q = 110

viktelen [127]3 years ago
7 0

Answer:

Step-by-step explanation:

<R=<P=70degrees

<Q=180-70=110 degrees

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The highest elevation in a small country occurs on a mountain 1,232 meter above sea level, while the lowest elevation in the sam
Arte-miy333 [17]

Answer: 1,259 meters.

Step-by-step explanation:

GIven: The highest elevation in a small country occurs on a mountain above sea level = 1,232 meter

The lowest elevation in the same country occurs below sea level = -27 meters

The difference in elevation between the highest and lowest points = Highest - lowest

= 1232 - (-27) meters

= 1232+27 meters   [ (-)(-)=(+) ]

= 1259 meters

Hence, the difference in elevation between the highest and lowest points = 1,259 meters.

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2 years ago
A biker travels 10 miles in two hours, what is his speed?
Alinara [238K]

Answer:

5 mph

Step-by-step explanation:

10/2 is 5 miles in one hour.

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3 years ago
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What is the radius of the circle given the equation x2 - 6x + y2 + 10y + 18 = 0?
arlik [135]
The\ equation\ of\ a\ circle:(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-a\ coordinates\ of\ the\ center\\r-a\ radius

x^2-6x+y^2+10y+18=0\\\\x^2-2x\cdot3+y^2+2y\cdot5=-18\\\\x^2-2x\cdot3+3^2+y^2+2y\cdot5+5^2=-18+3^2+5^2\ \ \ |use\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-3)^2+(y+5)^2=-18+9+25\\\\(x-3)^2+(y+5)^2=16\\\\therefore\\\\Answer:\boxed{r=\sqrt{16}=4}
7 0
2 years ago
If y = 12 when x = 3, find x when y = 6.
kari74 [83]

Answer:

X would equal 1.5

Step-by-step explanation:

if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5

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Use the raw data below to create a table that can be used to create a histogram with 5
schepotkina [342]

Answer:

Five classes

Step-by-step explanation:

1. Sort the data

You get

1.1, 1.3, 1.6, 1.7, 2, 2.6, 2.7, 2.9, 3.2, 3.2, 3.5, 3.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9, 4.9, 5.3, 5.7, 6.4, 6.5, 7.1, 7.5, 7.6, 8.1, 8.2, 9.2, 9.4

2. Calculate the range

Range = Max - Min = 9.4 - 1.1 = 8.3

3. Calculate the class width

Divide the range by the number of classes

8.3/5 = 1.7

Round this up to 2.

4. Decide where to start the histogram

You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11

However, even numbers are easier to read.

It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10

5. Prepare a frequency distribution table

Note: Each class does not include its largest possible value. Thus, a value of 2 goes into Class 2 - 4, (not Class 0 - 2).

\begin{array}{cc}\textbf{Miles run} & \textbf{No. of students} \\0 - 2 & 4 \\2 - 4 & 9 \\4 - 6 & 8 \\6 - 8 & 5 \\8 - 10 & 4 \\\end{array}

4 0
3 years ago
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